# Vector Generalized Linear and Additive Models

## Documentation for package ‘VGAM’ version 1.1-14

- DESCRIPTION file
- Code demos. Use demo() to run them.
- Package NEWS

## Help Pages

A B C D E F G H I K L M N O P Q R S T U V W Y Z misc

VGAM-package | Vector Generalized Linear and Additive Models and Other Associated Models

## -- A --

A1A2A3 | The A1A2A3 Blood Group System
AA.Aa.aa | The AA-Aa-aa Blood Group System
AB.Ab.aB.ab | The AB-Ab-aB-ab Blood Group System
ABO | The ABO Blood Group System
acat | Ordinal Regression with Adjacent Categories Probabilities
add1.vglm | Add or Drop All Possible Single Terms to/from a Model
AICc-method | Akaike's Information Criterion
AICdrrvglm | Akaike's Information Criterion
AICqrrvglm | Akaike's Information Criterion
AICrrvgam | Akaike's Information Criterion
AICrrvglm | Akaike's Information Criterion
AICvgam | Akaike's Information Criterion
AICvlm | Akaike's Information Criterion
alclevels | Crashes on New Zealand Roads in 2009
alcoff | Crashes on New Zealand Roads in 2009
alogitlink | Arcsine-Logit Link Mixtures
altered | Altered, Inflated, Truncated and Deflated Values in GAITD Regression
amlbinomial | Binomial Logistic Regression by Asymmetric Maximum Likelihood Estimation
amlexponential | Exponential Regression by Asymmetric Maximum Likelihood Estimation
amlnormal | Asymmetric Least Squares Quantile Regression
amlpoisson | Poisson Regression by Asymmetric Maximum Likelihood Estimation
anova.vglm | Analysis of Deviance for Vector Generalized Linear Model Fits
AR1 | Autoregressive Process with Order-1 Family Function
AR1EIM | Computation of the Exact EIM of an Order-1 Autoregressive Process
as.character.SurvS4 | Create a Survival Object
as.data.frame.SurvS4 | Create a Survival Object
asinlink | Arcsine Link Function
auuc | Auckland University Undergraduate Counts Data
aux.posbernoulli.t | Auxiliary Function for the Positive Bernoulli Family Function with Time Effects

## -- B --

backPain | Data on Back Pain Prognosis, from Anderson (1984)
backPain2 | Data on Back Pain Prognosis, from Anderson (1984)
beggs | Bacon and Eggs Data
bell | The Bell Series of Integers
Benford | Benford's Distribution
Benini | The Benini Distribution
benini1 | Benini Distribution Family Function
Betabinom | The Beta-Binomial Distribution
betabinomial | Beta-binomial Distribution Family Function
betabinomial.rho | Beta-binomial Distribution Family Function (with known rho)
betabinomialff | Beta-binomial Distribution Family Function
betaff | The Two-parameter Beta Distribution Family Function
Betageom | The Beta-Geometric Distribution
betageometric | Beta-geometric Distribution Family Function
betaII | Beta Distribution of the Second Kind
Betanorm | The Beta-Normal Distribution
betaprime | The Beta-Prime Distribution
betaR | The Two-parameter Beta Distribution Family Function
Biamhcop | Ali-Mikhail-Haq Bivariate Distribution
biamhcop | Ali-Mikhail-Haq Distribution Family Function
biclaytoncop | Clayton Copula (Bivariate) Family Function
BICvgam | Bayesian Information Criterion
BICvlm | Bayesian Information Criterion
Bifgmcop | Farlie-Gumbel-Morgenstern's Bivariate Distribution
bifgmcop | Farlie-Gumbel-Morgenstern's Bivariate Distribution Family Function
bifgmexp | Bivariate Farlie-Gumbel-Morgenstern Exponential Distribution Family Function
bifrankcop | Frank's Bivariate Distribution Family Function
bigumbelIexp | Gumbel's Type I Bivariate Distribution Family Function
bilogis | Bivariate Logistic Distribution
bilogistic | Bivariate Logistic Distribution Family Function
Binom2.or | Bivariate Odds Ratio Model
binom2.or | Bivariate Binary Regression with an Odds Ratio (Family Function)
Binom2.rho | Bivariate Probit Model
binom2.Rho | Bivariate Probit Regression
binom2.rho | Bivariate Probit Regression
Binom3.or | Trivariate Odds Ratio Model
binom3.or | Trivariate Binary Regression with Three Odds Ratios (Family Function)
binomialff | Binomial Family Function
Binorm | Bivariate Normal Distribution
binormal | Bivariate Normal Distribution Family Function
binormalcop | Gaussian Copula (Bivariate) Family Function
Binormcop | Gaussian Copula (Bivariate) Distribution
Biplackett | Plackett's Bivariate Copula
biplackettcop | Plackett's Bivariate Copula Family Function
biplot-method | Biplot of Constrained Regression Models
biplot.rrvglm | Latent Variable Plot for RR-VGLMs
Bisa | The Birnbaum-Saunders Distribution
bisa | Birnbaum-Saunders Regression Family Function
Bistudentt | Bivariate Student-t Distribution Density Function
bistudentt | Bivariate Student-t Family Function
bmi.nz | Body Mass Index of New Zealand Adults Data
borel.tanner | Borel-Tanner Distribution Family Function
Bort | The Borel-Tanner Distribution
Brat | Inputting Data to fit a Bradley Terry Model
brat | Bradley Terry Model
bratt | Bradley Terry Model With Ties
budworm | Western Spuce Budworm

## -- C --

calibrate | Model Calibrations
calibrate-method | Calibration for Constrained Regression Models
calibrate.qrrvglm | Calibration for CQO and CAO models
calibrate.qrrvglm.control | Control Function for CQO/CAO Calibration
calibrate.rrvglm | Calibration for CLO models (RR-VGLMs)
calibrate.rrvglm.control | Control Function for CLO (RR-VGLM) Calibration
cao | Fitting Constrained Additive Ordination (CAO)
cao.control | Control Function for RR-VGAMs (CAO)
Card | Cardioid Distribution
cardioid | Cardioid Distribution Family Function
cardioid2 | Cardioid Distribution Family Function
cauchitlink | Cauchit Link Function
cauchy | Cauchy Distribution Family Function
cauchy1 | Cauchy Distribution Family Function
cdf.lmscreg | Cumulative Distribution Function for LMS Quantile Regression
cennormal | Censored Normal Distribution
cens.gumbel | Censored Gumbel Distribution
cens.normal | Censored Normal Distribution
cens.poisson | Censored Poisson Family Function
cens.rayleigh | Rayleigh Regression Family Function
cfibrosis | Cystic Fibrosis Data
cgo | Redirects the user to cqo
chest.nz | Chest Pain in NZ Adults Data
chinese.nz | Chinese Population in New Zealand 1867-2001 Data
chisq | Chi-squared and Chi Distributions
clo | Redirects the User to rrvglm()
cloglink | Complementary Log-log Link Function
clogloglink | Complementary Log-log Link Function
CM.equid | Constraint Matrices for Symmetry, Order, Parallelism, etc.
CM.free | Constraint Matrices for Symmetry, Order, Parallelism, etc.
CM.ones | Constraint Matrices for Symmetry, Order, Parallelism, etc.
CM.qlogis | Constraint Matrices for Symmetry, Order, Parallelism, etc.
CM.qnorm | Constraint Matrices for Symmetry, Order, Parallelism, etc.
CM.symm0 | Constraint Matrices for Symmetry, Order, Parallelism, etc.
CM.symm1 | Constraint Matrices for Symmetry, Order, Parallelism, etc.
coalminers | Breathlessness and Wheeze Amongst Coalminers Data
Coef | Computes Model Coefficients and Quantities
coef-method | Extract Model Coefficients of a vgam() Object
Coef.qrrvglm | Returns Important Matrices etc. of a QO Object
Coef.qrrvglm-class | Class "Coef.qrrvglm"
Coef.rrvglm | Returns Important Matrices etc. of a RR-VGLM Object
Coef.rrvglm-class | Class "Coef.rrvglm"
Coef.vlm | Extract Model Coefficients for VLM Objects
coefficients-method | Extract Model Coefficients of a vgam() Object
coefvgam | Extract Model Coefficients of a vgam() Object
coefvlm | Extract Model Coefficients
CommonVGAMffArguments | Common VGAM Family Function Arguments
concoef | Extract Model Constrained/Canonical Coefficients
concoef-method | Constrained (Canonical) Coefficients
confintrrvglm | Confidence Intervals for Parameters of VGLMs
confintvgam | Confidence Intervals for Parameters of VGLMs
confintvglm | Confidence Intervals for Parameters of VGLMs
constraints | Constraint Matrices
constraints.vlm | Constraint Matrices
cops | Centre of the Parameter Space
cops-method | Centre of the Parameter Space
cops3 | Centre of the Parameter Space for GLMs
cops3.default | Centre of the Parameter Space for GLMs
cops3.glm | Centre of the Parameter Space for GLMs
copsd | Centre of the Parameter Space Distance
copsd-method | Centre of the Parameter Space Distance
copsd3 | Centre of the Parameter Space Distance for GLMs
copsd3.default | Centre of the Parameter Space Distance for GLMs
copsd3.glm | Centre of the Parameter Space Distance for GLMs
copsdvglm | Centre of the Parameter Space Distance
copsvglm | Centre of the Parameter Space
corbet | Corbet's Butterfly Data
cqo | Fitting Constrained Quadratic Ordination (CQO)
crashbc | Crashes on New Zealand Roads in 2009
crashf | Crashes on New Zealand Roads in 2009
crashi | Crashes on New Zealand Roads in 2009
crashmc | Crashes on New Zealand Roads in 2009
crashp | Crashes on New Zealand Roads in 2009
crashtr | Crashes on New Zealand Roads in 2009
cratio | Ordinal Regression with Continuation Ratios
cumulative | Ordinal Regression with Cumulative Probabilities

## -- D --

Dagum | The Dagum Distribution
dagum | Dagum Distribution Family Function
dAR1 | The AR-1 Autoregressive Process
dbenf | Benford's Distribution
dbenini | The Benini Distribution
dbetabinom | The Beta-Binomial Distribution
dbetabinom.ab | The Beta-Binomial Distribution
dbetageom | The Beta-Geometric Distribution
dbetanorm | The Beta-Normal Distribution
dbiamhcop | Ali-Mikhail-Haq Bivariate Distribution
dbiclaytoncop | Clayton Copula (Bivariate) Distribution
dbifgmcop | Farlie-Gumbel-Morgenstern's Bivariate Distribution
dbifrankcop | Frank's Bivariate Distribution
dbilogis | Bivariate Logistic Distribution
dbinom2.or | Bivariate Odds Ratio Model
dbinom2.rho | Bivariate Probit Model
dbinom3.or | Trivariate Odds Ratio Model
dbinorm | Bivariate Normal Distribution
dbinormcop | Gaussian Copula (Bivariate) Distribution
dbiplackcop | Plackett's Bivariate Copula
dbisa | The Birnbaum-Saunders Distribution
dbistudentt | Bivariate Student-t Distribution Density Function
dbort | The Borel-Tanner Distribution
dcard | Cardioid Distribution
dcard2 | Cardioid Distribution
ddagum | The Dagum Distribution
ddiffzeta | Differenced Zeta Distribution
deermice | Captures of Peromyscus maniculatus (Also Known as Deer Mice).
deexp | Expectiles of the Exponential Distribution
deflated | Altered, Inflated, Truncated and Deflated Values in GAITD Regression
denorm | Expectiles of the Normal Distribution
deplot.lmscreg | Density Plot for LMS Quantile Regression
depvar | Dependent (Response) Variable Extracted
deunif | Expectiles of the Uniform Distribution
dexpgeom | The Exponential Geometric Distribution
dexplog | The Exponential Logarithmic Distribution
dexppois | The Exponential Poisson Distribution
dextbetabinom | The Extended Beta-Binomial Distribution
dextlogF | Extended log-F Distribution
df.residual | Residual Degrees-of-Freedom
df.residual_vlm | Residual Degrees-of-Freedom
dfbeta | Hat Values and Regression Deletion Diagnostics
dfbetavlm | Hat Values and Regression Deletion Diagnostics
dfelix | The Felix Distribution
dfisk | The Fisk Distribution
dfoldnorm | The Folded-Normal Distribution
dfrechet | The Frechet Distribution
dgaitdbinom | Generally Altered, Inflated, Truncated and Deflated Binomial Distribution
dgaitdlog | Generally Altered, Inflated, Truncated and Deflated Logarithmic Distribution
dgaitdnbinom | Generally Altered, Inflated, Truncated and Deflated Negative Binomial Distribution
dgaitdplot | Plotting the GAITD Combo Density
dgaitdpois | Generally Altered, Inflated, Truncated and Deflated Poisson Distribution
dgaitdzeta | Generally Altered, Inflated and Truncated and Deflated Zeta Distribution
dgenbetaII | The Generalized Beta II Distribution
dgengamma.stacy | Generalized Gamma Distribution
dgenpois0 | Generalized Poisson Distribution (Original Parameterization)
dgenpois1 | Generalized Poisson Distribution (GP-1 and GP-2 Parameterizations of the Mean)
dgenpois2 | Generalized Poisson Distribution (GP-1 and GP-2 Parameterizations of the Mean)
dgenray | The Generalized Rayleigh Distribution
dgensh | Generalized Secant Hyperbolic Distribution
dgev | The Generalized Extreme Value Distribution
dgompertz | Gompertz Distribution
dgpd | The Generalized Pareto Distribution
dgumbel | The Gumbel Distribution
dgumbelII | The Gumbel-II Distribution
dhuber | Huber's Least Favourable Distribution
dhurea | The Husler-Reiss Angular Surface Distribution
dhzeta | Haight's Zeta Distribution
Diffzeta | Differenced Zeta Distribution
diffzeta | Differenced Zeta Distribution Family Function
dimm | Utility Functions for the VGAM Package
dinv.gaussian | The Inverse Gaussian Distribution
dinv.lomax | The Inverse Lomax Distribution
dinv.paralogistic | The Inverse Paralogistic Distribution
dirichlet | Fitting a Dirichlet Distribution
dirmul.old | Fitting a Dirichlet-Multinomial Distribution
dirmultinomial | Fitting a Dirichlet-Multinomial Distribution
dkumar | The Kumaraswamy Distribution
dlaplace | The Laplace Distribution
dlgamma | The Log-Gamma Distribution
dlind | The Lindley Distribution
dlino | The Generalized Beta Distribution (Libby and Novick, 1982)
dlog | Logarithmic Distribution
dlogF | log F Distribution
dlomax | The Lomax Distribution
dmakeham | The Makeham Distribution
dmaxwell | The Maxwell Distribution
dN1binom | Linear Model and Binomial Mixed Data Type Distribution
dN1pois | Linear Model and Poisson Mixed Data Type Distribution
dnaka | Nakagami Distribution
double.cens.normal | Univariate Normal Distribution with Double Censoring
double.expbinomial | Double Exponential Binomial Distribution Family Function
dparalogistic | The Paralogistic Distribution
dpareto | The Pareto Distribution
dparetoI | The Pareto(IV/III/II) Distributions
dparetoII | The Pareto(IV/III/II) Distributions
dparetoIII | The Pareto(IV/III/II) Distributions
dparetoIV | The Pareto(IV/III/II) Distributions
dperks | The Perks Distribution
dpois.points | Poisson Points Distribution
dpolono | The Poisson Lognormal Distribution
dposbern | Positive Bernoulli Sequence Model
dposgeom | Positive-Geometric Distribution
dposnorm | The Positive-Normal Distribution
drayleigh | Rayleigh Distribution
drice | The Rice Distribution
drop1.vglm | Add or Drop All Possible Single Terms to/from a Model
dsc.t2 | Expectiles/Quantiles of the Scaled Student t Distribution with 2 Df
dsimplex | Simplex Distribution
dsinmad | The Singh-Maddala Distribution
dskellam | The Skellam Distribution
dskewnorm | Skew-Normal Distribution
dslash | Slash Distribution
dtobit | The Tobit Distribution
dtopple | The Topp-Leone Distribution
dtriangle | The Triangle Distribution
dtrinorm | Trivariate Normal Distribution Density and Random Variates
dtruncpareto | The Truncated Pareto Distribution
ducklings | Relative Frequencies of Serum Proteins in White Pekin Ducklings
dyules | Yule-Simon Distribution
dzabinom | Zero-Altered Binomial Distribution
dzageom | Zero-Altered Geometric Distribution
dzanegbin | Zero-Altered Negative Binomial Distribution
dzapois | Zero-Altered Poisson Distribution
dzeta | The Zeta Distribution
dzibinom | Zero-Inflated Binomial Distribution
dzigeom | Zero-Inflated Geometric Distribution
dzinegbin | Zero-Inflated Negative Binomial Distribution
dzipf | The Zipf Distribution
dzipfmb | The Zipf-Mandelbrot Distribution
dzipois | Zero-Inflated Poisson Distribution
dzoabeta | The Zero/One-Inflated Beta Distribution
dzoibetabinom | The Beta-Binomial Distribution
dzoibetabinom.ab | The Beta-Binomial Distribution

## -- E --

eCDF | Empirical Cumulative Distribution Function
eCDF.vglm | Empirical Cumulative Distribution Function
edhuber | Huber's Least Favourable Distribution
eexp | Expectiles of the Exponential Distribution
enorm | Expectiles of the Normal Distribution
enzyme | Enzyme Data
erf | Error Function, and variants
erfc | Error Function, and variants
erlang | Erlang Distribution
eunif | Expectiles of the Uniform Distribution
Expectiles-Exponential | Expectiles of the Exponential Distribution
Expectiles-Normal | Expectiles of the Normal Distribution
Expectiles-sc.t2 | Expectiles/Quantiles of the Scaled Student t Distribution with 2 Df
Expectiles-Uniform | Expectiles of the Uniform Distribution
expexpff | Exponentiated Exponential Distribution
expexpff1 | Exponentiated Exponential Distribution
expexpint | The Exponential Integral and Variants
expgeom | The Exponential Geometric Distribution
expgeometric | Exponential Geometric Distribution Family Function
expint | The Exponential Integral and Variants
expint.E1 | The Exponential Integral and Variants
explink | Exponential Link Function
explog | The Exponential Logarithmic Distribution
explogff | Exponential Logarithmic Distribution Family Function
exponential | Exponential Distribution
exppois | The Exponential Poisson Distribution
exppoisson | Exponential Poisson Distribution Family Function
Extbetabinom | The Extended Beta-Binomial Distribution
extbetabinomial | Extended Beta-binomial Distribution Family Function
extlogF1 | Extended log-F Distribution Family Function
extlogitlink | Logit Link Function
eyed | Eye Disease Data: Diabetic Retinopathy

## -- F --

familyname | Family Function Name
familyname.vglmff | Family Function Name
familyname.vlm | Family Function Name
fbeetle | Mortality of Flour Beetles from Carbon Disulphide
Felix | The Felix Distribution
felix | Felix Distribution Family Function
fff | F Distribution Family Function
fill1 | Creates a Matrix of Appropriate Dimension
finney44 | Toxicity trial for insects
fisherzlink | Fisher's Z Link Function
Fisk | The Fisk Distribution
fisk | Fisk Distribution family function
fitted.values.vlm | Fitted Values of a VLM object
fittedvlm | Fitted Values of a VLM object
fix.crossing | Fixing a Quantile Regression having Crossing
fix.crossing.vglm | Fixing a Quantile Regression having Crossing
Foldnorm | The Folded-Normal Distribution
foldnormal | Folded Normal Distribution Family Function
foldsqrtlink | Square Root and Folded Square Root Link Functions
format.SurvS4 | Create a Survival Object
formula.vlm | Model Formulae and Term Names for VGLMs
formulavlm | Model Formulae and Term Names for VGLMs
Frank | Frank's Bivariate Distribution
Frechet | The Frechet Distribution
frechet | Frechet Distribution Family Function
freund61 | Freund's (1961) Bivariate Extension of the Exponential Distribution

## -- G --

Gaitdbinom | Generally Altered, Inflated, Truncated and Deflated Binomial Distribution
Gaitdlog | Generally Altered, Inflated, Truncated and Deflated Logarithmic Distribution
gaitdlog | Generally Altered, Inflated, Truncated and Deflated Logarithmic Regression
Gaitdnbinom | Generally Altered, Inflated, Truncated and Deflated Negative Binomial Distribution
gaitdnbinomial | Generally Altered, Inflated, Truncated and Deflated Negative Binomial Regression
Gaitdpois | Generally Altered, Inflated, Truncated and Deflated Poisson Distribution
gaitdpoisson | Generally Altered, Inflated, Truncated and Deflated Poisson Regression
Gaitdzeta | Generally Altered, Inflated and Truncated and Deflated Zeta Distribution
gaitdzeta | Generally Altered, Inflated, Truncated and Deflated Zeta Regression
gamma1 | 1-parameter Gamma Regression Family Function
gamma2 | 2-parameter Gamma Regression Family Function
gammaff.mm | Multivariate Gamma Family Function: Mathai and Moschopoulos (1992)
gammahyperbola | Gamma Hyperbola Bivariate Distribution
gammaR | 2-parameter Gamma Regression Family Function
garma | GARMA (Generalized Autoregressive Moving-Average) Models
gaussianff | Univariate Normal Distribution
GenbetaII | The Generalized Beta II Distribution
genbetaII | Generalized Beta Distribution of the Second Kind
gengamma.stacy | Generalized Gamma distribution family function
gengammaUC | Generalized Gamma Distribution
Genpois0 | Generalized Poisson Distribution (Original Parameterization)
Genpois1 | Generalized Poisson Distribution (GP-1 and GP-2 Parameterizations of the Mean)
Genpois2 | Generalized Poisson Distribution (GP-1 and GP-2 Parameterizations of the Mean)
genpoisson0 | Generalized Poisson Regression (Original Parameterization)
genpoisson1 | Generalized Poisson Regression (GP-1 Parameterization)
genpoisson2 | Generalized Poisson Regression (GP-2 Parameterization)
genray | The Generalized Rayleigh Distribution
genrayleigh | Generalized Rayleigh Distribution Family Function
Gensh | Generalized Secant Hyperbolic Distribution
gensh | Generalized Secant Hyperbolic Regression Family Function
geometric | Geometric (Truncated and Untruncated) Distributions
get.smart | Retrieve One Component of ".smart.prediction"
get.smart.prediction | Retrieves ".smart.prediction"
gev | Generalized Extreme Value Regression Family Function
gevff | Generalized Extreme Value Regression Family Function
gevUC | The Generalized Extreme Value Distribution
gew | General Electric and Westinghouse Data
goffset | GAITD Offset for the GTE Method
Gompertz | Gompertz Distribution
gompertz | Gompertz Regression Family Function
gpd | Generalized Pareto Distribution Regression Family Function
gpdUC | The Generalized Pareto Distribution
grain.us | Grain Prices Data in USA
grc | Row-Column Interaction Models including Goodman's RC Association Model and Unconstrained Quadratic Ordination
gumbel | Gumbel Regression Family Function
Gumbel-II | The Gumbel-II Distribution
gumbelff | Gumbel Regression Family Function
gumbelII | Gumbel-II Regression Family Function
guplot | Gumbel Plot
guplot.default | Gumbel Plot
guplot.vlm | Gumbel Plot

## -- H --

has.intercept | Has a Fitted VGLM Got an Intercept Term?
has.interceptvlm | Has a Fitted VGLM Got an Intercept Term?
hatplot | Hat Values and Regression Deletion Diagnostics
hatplot.vlm | Hat Values and Regression Deletion Diagnostics
hatvalues | Hat Values and Regression Deletion Diagnostics
hatvaluesvlm | Hat Values and Regression Deletion Diagnostics
hdeff | Hauck-Donner Effects: A Detection Test for Wald Tests
hdeff.matrix | Hauck-Donner Effects: A Detection Test for Wald Tests
hdeff.numeric | Hauck-Donner Effects: A Detection Test for Wald Tests
hdeff.vglm | Hauck-Donner Effects: A Detection Test for Wald Tests
hdeffsev | Hauck-Donner Effect: Severity Measures
hdeffsev0 | Hauck-Donner Effect: Severity Measures
hdeffsev2 | Hauck-Donner Effect: Severity Measures
hormone | Hormone Assay Data
hspider | Hunting Spider Data
huber1 | Huber's Least Favourable Distribution Family Function
huber2 | Huber's Least Favourable Distribution Family Function
Huggins89.t1 | Table 1 of Huggins (1989)
Huggins89table1 | Table 1 of Huggins (1989)
hunua | Hunua Ranges Data
Hurea | The Husler-Reiss Angular Surface Distribution
hurea | Husler-Reiss Angular Surface Distribution Family Function
hyperg | Hypergeometric Family Function
hypersecant | Hyperbolic Secant Regression Family Function
hypersecant01 | Hyperbolic Secant Regression Family Function
Hzeta | Haight's Zeta Distribution
hzeta | Haight's Zeta Family Function

## -- I --

iam | Index from Array to Matrix
identitylink | Identity Link Function
inflated | Altered, Inflated, Truncated and Deflated Values in GAITD Regression
Influence | Influence Function (S4 generic) of a Fitted Model
Influence.vglm | Influence Function (S4 generic) of a Fitted Model
interleave.VGAM | Utility Functions for the VGAM Package
inv.binomial | Inverse Binomial Distribution Family Function
Inv.gaussian | The Inverse Gaussian Distribution
inv.gaussianff | Inverse Gaussian Distribution Family Function
Inv.lomax | The Inverse Lomax Distribution
inv.lomax | Inverse Lomax Distribution Family Function
Inv.paralogistic | The Inverse Paralogistic Distribution
inv.paralogistic | Inverse Paralogistic Distribution Family Function
is.altered | Altered, Inflated, Truncated and Deflated Values in GAITD Regression
is.buggy | Does the Fitted Object Suffer from a Known Bug?
is.buggy.vlm | Does the Fitted Object Suffer from a Known Bug?
is.crossing | Quantile Crossing Detection
is.crossing.vglm | Quantile Crossing Detection
is.deflated | Altered, Inflated, Truncated and Deflated Values in GAITD Regression
is.inflated | Altered, Inflated, Truncated and Deflated Values in GAITD Regression
is.na.SurvS4 | Create a Survival Object
is.parallel | Parallelism Constraint Matrices
is.parallel.matrix | Parallelism Constraint Matrices
is.parallel.vglm | Parallelism Constraint Matrices
is.smart | Test For a Smart Object
is.SurvS4 | Create a Survival Object
is.truncated | Altered, Inflated, Truncated and Deflated Values in GAITD Regression
is.zero | Zero Constraint Matrices
is.zero.matrix | Zero Constraint Matrices
is.zero.vglm | Zero Constraint Matrices

## -- K --

kendall.tau | Kendall's Tau Statistic
KLD | Kullback-Leibler Divergence
KLDvglm | Kullback-Leibler Divergence
Kumar | The Kumaraswamy Distribution
kumar | Kumaraswamy Regression Family Function

## -- L --

lakeO | Annual catches on Lake Otamangakau from October 1974 to October 1989
lambertW | The Lambert W Function
laplace | Laplace Regression Family Function
latvar | Latent Variables
lcalogitlink | Arcsine-Logit Link Mixtures
lcsloglink | Square root-Log Link Mixtures
leipnik | Leipnik Regression Family Function
lerch | Lerch Phi Function
leukemia | Acute Myelogenous Leukemia Survival Data
levy | Levy Distribution Family Function
lgamma1 | Log-gamma Distribution Family Function
lgamma3 | Log-gamma Distribution Family Function
lgammaUC | The Log-Gamma Distribution
Lindley | The Lindley Distribution
lindley | 1-parameter Lindley Distribution
linkfun | Link Functions for VGLMs
linkfunvlm | Link Functions for VGLMs
Links | Link functions for VGLM/VGAM/etc. families
Lino | The Generalized Beta Distribution (Libby and Novick, 1982)
lino | Generalized Beta Distribution Family Function
lirat | Low-iron Rat Teratology Data
lms.bcg | LMS Quantile Regression with a Box-Cox transformation to a Gamma Distribution
lms.bcn | LMS Quantile Regression with a Box-Cox Transformation to Normality
lms.yjn | LMS Quantile Regression with a Yeo-Johnson Transformation to Normality
lms.yjn2 | LMS Quantile Regression with a Yeo-Johnson Transformation to Normality
Log | Logarithmic Distribution
log1mexp | Logarithms with an Unit Offset and Exponential Term
log1pexp | Logarithms with an Unit Offset and Exponential Term
log1plink | Log Link Function with an Offset
logclink | Complementary-log Link Function
logF | Natural Exponential Family Generalized Hyperbolic Secant Distribution Family Function
logff | Logarithmic Distribution
logistic | Logistic Distribution Family Function
logistic1 | Logistic Distribution Family Function
logitlink | Logit Link Function
logitoffsetlink | Logit-with-an-Offset Link Function
logLik.vlm | Extract Log-likelihood for VGLMs/VGAMs/etc.
loglinb2 | Loglinear Model for Two Binary Responses
loglinb3 | Loglinear Model for Three Binary Responses
loglinb4 | Loglinear Model for Four Binary Responses
loglink | Log Link Function, and Variants
loglog | Log-log and Log-log-log Link Functions
logloglink | Log-log and Log-log-log Link Functions
loglogloglink | Log-log and Log-log-log Link Functions
logneglink | Log Link Function, and Variants
lognormal | Lognormal Distribution
logofflink | Log Link Function with an Offset
Lomax | The Lomax Distribution
lomax | Lomax Distribution Family Function
lpossums | Leadbeater's Possums
lqnorm | Minimizing the L-q norm Family Function
lrt.stat | Likelihood Ratio Test Statistics Evaluated at the Null Values
lrt.stat.vlm | Likelihood Ratio Test Statistics Evaluated at the Null Values
lrtest | Likelihood Ratio Test of Nested Models
lrtest_vglm | Likelihood Ratio Test of Nested Models
lv | Latent Variables
lvplot | Latent Variable Plot
lvplot.qrrvglm | Latent Variable Plot for QO models
lvplot.rrvglm | Latent Variable Plot for RR-VGLMs

## -- M --

machinists | Machinists Accidents
Makeham | The Makeham Distribution
makeham | Makeham Regression Family Function
margeff | Marginal Effects for Several Categorical Response Models
marital.nz | New Zealand Marital Data
Math.SurvS4 | Create a Survival Object
Max | Maximums
Maxwell | The Maxwell Distribution
maxwell | Maxwell Regression Family Function
mccullagh89 | McCullagh (1989) Distribution Family Function
meangaitd | Mean of the GAITD Combo Density
melbmaxtemp | Melbourne Daily Maximum Temperatures
meplot | Mean Excess Plot
meplot.default | Mean Excess Plot
meplot.vlm | Mean Excess Plot
micmen | Michaelis-Menten Model
mills.ratio | Mills Ratio
mills.ratio2 | Mills Ratio
mix2exp | Mixture of Two Exponential Distributions
mix2normal | Mixture of Two Univariate Normal Distributions
mix2poisson | Mixture of Two Poisson Distributions
MNSs | The MNSs Blood Group System
model.frame.vlm | Construct the Model Frame of a VLM Object
model.framevlm | Construct the Model Frame of a VLM Object
model.matrixqrrvglm | Construct the Model Matrix of a QRR-VGLM Object
model.matrixvlm | Construct the Design Matrix of a VLM Object
moffset | Matrix Offset
multilogitlink | Multi-logit Link Function
multinomial | Multinomial Logit Model

## -- N --

N1binomial | Linear Model and Binomial Mixed Data Type Family Function
N1poisson | Linear Model and Poisson Mixed Data Type Family Function
Nakagami | Nakagami Distribution
nakagami | Nakagami Regression Family Function
nbcanlink | Negative Binomial Canonical Link Function
nef.hs | Hyperbolic Secant Regression Family Function
negbinomial | Negative Binomial Distribution Family Function
negbinomial.size | Negative Binomial Distribution Family Function With Known Size
negidentitylink | Identity Link Function
negloglink | Log Link Function, and Variants
negreciprocallink | Reciprocal Link Function
niters | Number of Iterations
niters.vlm | Number of Iterations
normal.vcm | Univariate Normal Distribution as a Varying-Coefficient Model
nparam | Number of Parameters
nparam.drrvglm | Number of Parameters
nparam.qrrvglm | Number of Parameters
nparam.rrvgam | Number of Parameters
nparam.rrvglm | Number of Parameters
nparam.vgam | Number of Parameters
nparam.vlm | Number of Parameters

## -- O --

olym08 | 2008 and 2012 Summer Olympic Final Medal Count Data
olym12 | 2008 and 2012 Summer Olympic Final Medal Count Data
Ops.SurvS4 | Create a Survival Object
Opt | Optimums
ordpoisson | Ordinal Poisson Family Function
ordsup | Ordinal Superiority Measures
ordsup.vglm | Ordinal Superiority Measures
oxtemp | Oxford Temperature Data

## -- P --

Paralogistic | The Paralogistic Distribution
paralogistic | Paralogistic Distribution Family Function
param.names | Utility Functions for the VGAM Package
Pareto | The Pareto Distribution
paretoff | Pareto and Truncated Pareto Distribution Family Functions
ParetoI | The Pareto(IV/III/II) Distributions
ParetoII | The Pareto(IV/III/II) Distributions
paretoII | Pareto(IV/III/II) Distribution Family Functions
ParetoIII | The Pareto(IV/III/II) Distributions
paretoIII | Pareto(IV/III/II) Distribution Family Functions
ParetoIV | The Pareto(IV/III/II) Distributions
paretoIV | Pareto(IV/III/II) Distribution Family Functions
pbenf | Benford's Distribution
pbenini | The Benini Distribution
pbetabinom | The Beta-Binomial Distribution
pbetabinom.ab | The Beta-Binomial Distribution
pbetageom | The Beta-Geometric Distribution
pbetanorm | The Beta-Normal Distribution
pbiamhcop | Ali-Mikhail-Haq Bivariate Distribution
pbifgmcop | Farlie-Gumbel-Morgenstern's Bivariate Distribution
pbifrankcop | Frank's Bivariate Distribution
pbilogis | Bivariate Logistic Distribution
pbinorm | Bivariate Normal Distribution
pbinormcop | Gaussian Copula (Bivariate) Distribution
pbiplackcop | Plackett's Bivariate Copula
pbisa | The Birnbaum-Saunders Distribution
pcard | Cardioid Distribution
pcard2 | Cardioid Distribution
pdagum | The Dagum Distribution
pdiffzeta | Differenced Zeta Distribution
peexp | Expectiles of the Exponential Distribution
penorm | Expectiles of the Normal Distribution
Perks | The Perks Distribution
perks | Perks Distribution Family Function
perspqrrvglm | Perspective plot for QRR-VGLMs
peunif | Expectiles of the Uniform Distribution
pexpgeom | The Exponential Geometric Distribution
pexplog | The Exponential Logarithmic Distribution
pexppois | The Exponential Poisson Distribution
pextbetabinom | The Extended Beta-Binomial Distribution
pfisk | The Fisk Distribution
pfoldnorm | The Folded-Normal Distribution
pfrechet | The Frechet Distribution
pgaitdbinom | Generally Altered, Inflated, Truncated and Deflated Binomial Distribution
pgaitdlog | Generally Altered, Inflated, Truncated and Deflated Logarithmic Distribution
pgaitdnbinom | Generally Altered, Inflated, Truncated and Deflated Negative Binomial Distribution
pgaitdpois | Generally Altered, Inflated, Truncated and Deflated Poisson Distribution
pgaitdzeta | Generally Altered, Inflated and Truncated and Deflated Zeta Distribution
pgamma.deriv | Derivatives of the Incomplete Gamma Integral
pgamma.deriv.unscaled | Derivatives of the Incomplete Gamma Integral (Unscaled Version)
pgengamma.stacy | Generalized Gamma Distribution
pgenpois0 | Generalized Poisson Distribution (Original Parameterization)
pgenpois1 | Generalized Poisson Distribution (GP-1 and GP-2 Parameterizations of the Mean)
pgenpois2 | Generalized Poisson Distribution (GP-1 and GP-2 Parameterizations of the Mean)
pgenray | The Generalized Rayleigh Distribution
pgensh | Generalized Secant Hyperbolic Distribution
pgev | The Generalized Extreme Value Distribution
pgompertz | Gompertz Distribution
pgpd | The Generalized Pareto Distribution
pgumbel | The Gumbel Distribution
pgumbelII | The Gumbel-II Distribution
phuber | Huber's Least Favourable Distribution
phzeta | Haight's Zeta Distribution
pinv.gaussian | The Inverse Gaussian Distribution
pinv.lomax | The Inverse Lomax Distribution
pinv.paralogistic | The Inverse Paralogistic Distribution
pkumar | The Kumaraswamy Distribution
plaplace | The Laplace Distribution
plgamma | The Log-Gamma Distribution
plind | The Lindley Distribution
plino | The Generalized Beta Distribution (Libby and Novick, 1982)
plog | Logarithmic Distribution
plomax | The Lomax Distribution
plot.vgam | Default VGAM Plotting
plotdeplot.lmscreg | Density Plot for LMS Quantile Regression
plotdgaitd | Plotting the GAITD Combo Density from a GAITD Regression Object
plotdgaitd.vglm | Plotting the GAITD Combo Density from a GAITD Regression Object
plotqrrvglm | Model Diagnostic Plots for QRR-VGLMs
plotqtplot.lmscreg | Quantile Plot for LMS Quantile Regression
plotrcim0 | Main Effects Plot for a Row-Column Interaction Model (RCIM)
plotvgam | Default VGAM Plotting
plotvgam.control | Control Function for plotvgam()
plotvglm | Plots for VGLMs
pmakeham | The Makeham Distribution
pmaxwell | The Maxwell Distribution
pnaka | Nakagami Distribution
pneumo | Pneumoconiosis in Coalminers Data
pnorm2 | Bivariate Normal Distribution
poisson.points | Poisson-points-on-a-plane/volume Distances Distribution
poissonff | Poisson Regression
PoissonPoints | Poisson Points Distribution
Polono | The Poisson Lognormal Distribution
polya | Negative Binomial Distribution Family Function
polyaR | Negative Binomial Distribution Family Function
posbernoulli.b | Positive Bernoulli Family Function with Behavioural Effects
posbernoulli.t | Positive Bernoulli Family Function with Time Effects
posbernoulli.tb | Positive Bernoulli Family Function with Time and Behavioural Effects
posbernUC | Positive Bernoulli Sequence Model
posbinomial | Positive Binomial Distribution Family Function
Posgeom | Positive-Geometric Distribution
posnegbinomial | Positive Negative Binomial Distribution Family Function
Posnorm | The Positive-Normal Distribution
posnormal | Positive Normal Distribution Family Function
pospoisson | Positive Poisson Distribution Family Function
powerlink | Power Link Function
pparalogistic | The Paralogistic Distribution
ppareto | The Pareto Distribution
pparetoI | The Pareto(IV/III/II) Distributions
pparetoII | The Pareto(IV/III/II) Distributions
pparetoIII | The Pareto(IV/III/II) Distributions
pparetoIV | The Pareto(IV/III/II) Distributions
pperks | The Perks Distribution
ppolono | The Poisson Lognormal Distribution
pposgeom | Positive-Geometric Distribution
pposnorm | The Positive-Normal Distribution
prats | Pregnant Rats Toxological Experiment Data
prayleigh | Rayleigh Distribution
predictqrrvglm | Predict Method for a CQO fit
predictvglm | Predict Method for a VGLM fit
prentice74 | Prentice (1974) Log-gamma Distribution
price | The Rice Distribution
prinia | Yellow-bellied Prinia
probitlink | Probit Link Function
profilevglm | Method for Profiling vglm Objects
propodds | Proportional Odds Model for Ordinal Regression
prplot | Probability Plots for Categorical Data Analysis
prplot.control | Probability Plots for Categorical Data Analysis
psc.t2 | Expectiles/Quantiles of the Scaled Student t Distribution with 2 Df
psinmad | The Singh-Maddala Distribution
pslash | Slash Distribution
ptobit | The Tobit Distribution
ptopple | The Topp-Leone Distribution
ptriangle | The Triangle Distribution
ptruncpareto | The Truncated Pareto Distribution
put.smart | Adds a List to the End of the List ".smart.prediction"
pyules | Yule-Simon Distribution
pzabinom | Zero-Altered Binomial Distribution
pzageom | Zero-Altered Geometric Distribution
pzanegbin | Zero-Altered Negative Binomial Distribution
pzapois | Zero-Altered Poisson Distribution
pzeta | The Zeta Distribution
pzibinom | Zero-Inflated Binomial Distribution
pzigeom | Zero-Inflated Geometric Distribution
pzinegbin | Zero-Inflated Negative Binomial Distribution
pzipf | The Zipf Distribution
pzipfmb | The Zipf-Mandelbrot Distribution
pzipois | Zero-Inflated Poisson Distribution
pzoabeta | The Zero/One-Inflated Beta Distribution
pzoibetabinom | The Beta-Binomial Distribution
pzoibetabinom.ab | The Beta-Binomial Distribution

## -- Q --

qbenf | Benford's Distribution
qbenini | The Benini Distribution
qbetanorm | The Beta-Normal Distribution
qbisa | The Birnbaum-Saunders Distribution
qcard | Cardioid Distribution
qcard2 | Cardioid Distribution
qdagum | The Dagum Distribution
qdiffzeta | Differenced Zeta Distribution
qeexp | Expectiles of the Exponential Distribution
qenorm | Expectiles of the Normal Distribution
qeunif | Expectiles of the Uniform Distribution
qexpgeom | The Exponential Geometric Distribution
qexplog | The Exponential Logarithmic Distribution
qexppois | The Exponential Poisson Distribution
qextbetabinom | The Extended Beta-Binomial Distribution
qfisk | The Fisk Distribution
qfoldnorm | The Folded-Normal Distribution
qfrechet | The Frechet Distribution
qgaitdbinom | Generally Altered, Inflated, Truncated and Deflated Binomial Distribution
qgaitdlog | Generally Altered, Inflated, Truncated and Deflated Logarithmic Distribution
qgaitdnbinom | Generally Altered, Inflated, Truncated and Deflated Negative Binomial Distribution
qgaitdpois | Generally Altered, Inflated, Truncated and Deflated Poisson Distribution
qgaitdzeta | Generally Altered, Inflated and Truncated and Deflated Zeta Distribution
qgengamma.stacy | Generalized Gamma Distribution
qgenpois0 | Generalized Poisson Distribution (Original Parameterization)
qgenpois1 | Generalized Poisson Distribution (GP-1 and GP-2 Parameterizations of the Mean)
qgenpois2 | Generalized Poisson Distribution (GP-1 and GP-2 Parameterizations of the Mean)
qgenray | The Generalized Rayleigh Distribution
qgensh | Generalized Secant Hyperbolic Distribution
qgev | The Generalized Extreme Value Distribution
qgompertz | Gompertz Distribution
qgpd | The Generalized Pareto Distribution
qgumbel | The Gumbel Distribution
qgumbelII | The Gumbel-II Distribution
qhuber | Huber's Least Favourable Distribution
qhzeta | Haight's Zeta Distribution
qinv.lomax | The Inverse Lomax Distribution
qinv.paralogistic | The Inverse Paralogistic Distribution
qkumar | The Kumaraswamy Distribution
qlaplace | The Laplace Distribution
qlgamma | The Log-Gamma Distribution
qlino | The Generalized Beta Distribution (Libby and Novick, 1982)
qlog | Logarithmic Distribution
qlomax | The Lomax Distribution
qmakeham | The Makeham Distribution
qmaxwell | The Maxwell Distribution
qnaka | Nakagami Distribution
qparalogistic | The Paralogistic Distribution
qpareto | The Pareto Distribution
qparetoI | The Pareto(IV/III/II) Distributions
qparetoII | The Pareto(IV/III/II) Distributions
qparetoIII | The Pareto(IV/III/II) Distributions
qparetoIV | The Pareto(IV/III/II) Distributions
qperks | The Perks Distribution
qposgeom | Positive-Geometric Distribution
qposnorm | The Positive-Normal Distribution
qrayleigh | Rayleigh Distribution
qrice | The Rice Distribution
qrrvglm.control | Control Function for QRR-VGLMs (CQO)
qsc.t2 | Expectiles/Quantiles of the Scaled Student t Distribution with 2 Df
qsinmad | The Singh-Maddala Distribution
qtobit | The Tobit Distribution
qtopple | The Topp-Leone Distribution
qtplot.gumbel | Quantile Plot for Gumbel Regression
qtplot.gumbelff | Quantile Plot for Gumbel Regression
qtplot.lmscreg | Quantile Plot for LMS Quantile Regression
qtriangle | The Triangle Distribution
qtruncpareto | The Truncated Pareto Distribution
Qvar | Quasi-variances Preprocessing Function
qvar | Quasi-variances Extraction Function
qyules | Yule-Simon Distribution
qzabinom | Zero-Altered Binomial Distribution
qzageom | Zero-Altered Geometric Distribution
qzanegbin | Zero-Altered Negative Binomial Distribution
qzapois | Zero-Altered Poisson Distribution
qzeta | The Zeta Distribution
qzibinom | Zero-Inflated Binomial Distribution
qzigeom | Zero-Inflated Geometric Distribution
qzinegbin | Zero-Inflated Negative Binomial Distribution
qzipf | The Zipf Distribution
qzipfmb | The Zipf-Mandelbrot Distribution
qzipois | Zero-Inflated Poisson Distribution
qzoabeta | The Zero/One-Inflated Beta Distribution

## -- R --

R2latvar | R-squared for Latent Variable Models
Rank | Rank
Rank.qrrvglm | Rank
Rank.rrvgam | Rank
Rank.rrvglm | Rank
Rayleigh | Rayleigh Distribution
rayleigh | Rayleigh Regression Family Function
rbenf | Benford's Distribution
rbenini | The Benini Distribution
rbetabinom | The Beta-Binomial Distribution
rbetabinom.ab | The Beta-Binomial Distribution
rbetageom | The Beta-Geometric Distribution
rbetanorm | The Beta-Normal Distribution
rbiamhcop | Ali-Mikhail-Haq Bivariate Distribution
rbiclaytoncop | Clayton Copula (Bivariate) Distribution
rbifgmcop | Farlie-Gumbel-Morgenstern's Bivariate Distribution
rbifrankcop | Frank's Bivariate Distribution
rbilogis | Bivariate Logistic Distribution
rbinom2.or | Bivariate Odds Ratio Model
rbinom2.rho | Bivariate Probit Model
rbinom3.or | Trivariate Odds Ratio Model
rbinorm | Bivariate Normal Distribution
rbinormcop | Gaussian Copula (Bivariate) Distribution
rbiplackcop | Plackett's Bivariate Copula
rbisa | The Birnbaum-Saunders Distribution
rbort | The Borel-Tanner Distribution
rcard | Cardioid Distribution
rcard2 | Cardioid Distribution
Rcim | Mark the Baseline of Row and Column on a Matrix data
rcim | Row-Column Interaction Models including Goodman's RC Association Model and Unconstrained Quadratic Ordination
rcqo | Constrained Quadratic Ordination
rdagum | The Dagum Distribution
rdiffzeta | Differenced Zeta Distribution
rdiric | The Dirichlet distribution
rec.exp1 | Upper Record Values from a 1-parameter Exponential Distribution
rec.normal | Upper Record Values from a Univariate Normal Distribution
reciprocallink | Reciprocal Link Function
reexp | Expectiles of the Exponential Distribution
renorm | Expectiles of the Normal Distribution
residualsvglm | Residuals for a VGLM fit
reunif | Expectiles of the Uniform Distribution
rexpgeom | The Exponential Geometric Distribution
rexplog | The Exponential Logarithmic Distribution
rexppois | The Exponential Poisson Distribution
rextbetabinom | The Extended Beta-Binomial Distribution
rfisk | The Fisk Distribution
rfoldnorm | The Folded-Normal Distribution
rfrechet | The Frechet Distribution
rgaitdbinom | Generally Altered, Inflated, Truncated and Deflated Binomial Distribution
rgaitdlog | Generally Altered, Inflated, Truncated and Deflated Logarithmic Distribution
rgaitdnbinom | Generally Altered, Inflated, Truncated and Deflated Negative Binomial Distribution
rgaitdpois | Generally Altered, Inflated, Truncated and Deflated Poisson Distribution
rgaitdzeta | Generally Altered, Inflated and Truncated and Deflated Zeta Distribution
rgengamma.stacy | Generalized Gamma Distribution
rgenpois0 | Generalized Poisson Distribution (Original Parameterization)
rgenpois1 | Generalized Poisson Distribution (GP-1 and GP-2 Parameterizations of the Mean)
rgenpois2 | Generalized Poisson Distribution (GP-1 and GP-2 Parameterizations of the Mean)
rgenray | The Generalized Rayleigh Distribution
rgensh | Generalized Secant Hyperbolic Distribution
rgev | The Generalized Extreme Value Distribution
rgompertz | Gompertz Distribution
rgpd | The Generalized Pareto Distribution
rgumbel | The Gumbel Distribution
rgumbelII | The Gumbel-II Distribution
rhobitlink | Rhobit Link Function
rhuber | Huber's Least Favourable Distribution
rhzeta | Haight's Zeta Distribution
Rice | The Rice Distribution
riceff | Rice Distribution Family Function
rigff | Reciprocal Inverse Gaussian distribution
rinv.gaussian | The Inverse Gaussian Distribution
rinv.lomax | The Inverse Lomax Distribution
rinv.paralogistic | The Inverse Paralogistic Distribution
rkumar | The Kumaraswamy Distribution
rlaplace | The Laplace Distribution
rlgamma | The Log-Gamma Distribution
rlind | The Lindley Distribution
rlino | The Generalized Beta Distribution (Libby and Novick, 1982)
rlog | Logarithmic Distribution
rlomax | The Lomax Distribution
rlplot.gev | Return Level Plot for GEV Fits
rlplot.gevff | Return Level Plot for GEV Fits
rmakeham | The Makeham Distribution
rmaxwell | The Maxwell Distribution
rN1binom | Linear Model and Binomial Mixed Data Type Distribution
rN1pois | Linear Model and Poisson Mixed Data Type Distribution
rnaka | Nakagami Distribution
rootogram4 | Rootograms (S4 generic) for Assessing Goodness of Fit of Probability Models
rootogram4vglm | Rootograms (S4 generic) for Assessing Goodness of Fit of Probability Models
round2 | Rounding of Numbers to Base 2
rparalogistic | The Paralogistic Distribution
rpareto | The Pareto Distribution
rparetoI | The Pareto(IV/III/II) Distributions
rparetoII | The Pareto(IV/III/II) Distributions
rparetoIII | The Pareto(IV/III/II) Distributions
rparetoIV | The Pareto(IV/III/II) Distributions
rperks | The Perks Distribution
rpois.points | Poisson Points Distribution
rpolono | The Poisson Lognormal Distribution
rposbern | Positive Bernoulli Sequence Model
rposgeom | Positive-Geometric Distribution
rposnorm | The Positive-Normal Distribution
rrar | Nested Reduced-rank Autoregressive Models for Multiple Time Series
rrayleigh | Rayleigh Distribution
rrice | The Rice Distribution
rrvglm | Fitting Reduced-Rank Vector Generalized Linear Models (RR-VGLMs) and Doubly Constrained RR-VGLMs (DRR-VGLMs)
rrvglm-class | Class "rrvglm"
rrvglm.control | Control Function for rrvglm()
rrvglm.optim.control | Control Function for rrvglm() Calling optim()
rsc.t2 | Expectiles/Quantiles of the Scaled Student t Distribution with 2 Df
rsimplex | Simplex Distribution
rsinmad | The Singh-Maddala Distribution
rskellam | The Skellam Distribution
rskewnorm | Skew-Normal Distribution
rslash | Slash Distribution
rtobit | The Tobit Distribution
rtopple | The Topp-Leone Distribution
rtriangle | The Triangle Distribution
rtrinorm | Trivariate Normal Distribution Density and Random Variates
rtruncpareto | The Truncated Pareto Distribution
ruge | Rutherford-Geiger Polonium Data
ryules | Yule-Simon Distribution
rzabinom | Zero-Altered Binomial Distribution
rzageom | Zero-Altered Geometric Distribution
rzanegbin | Zero-Altered Negative Binomial Distribution
rzapois | Zero-Altered Poisson Distribution
rzeta | The Zeta Distribution
rzibinom | Zero-Inflated Binomial Distribution
rzigeom | Zero-Inflated Geometric Distribution
rzinegbin | Zero-Inflated Negative Binomial Distribution
rzipf | The Zipf Distribution
rzipfmb | The Zipf-Mandelbrot Distribution
rzipois | Zero-Inflated Poisson Distribution
rzoabeta | The Zero/One-Inflated Beta Distribution
rzoibetabinom | The Beta-Binomial Distribution
rzoibetabinom.ab | The Beta-Binomial Distribution

## -- S --

s | Defining Smooths in VGAM Formulas
sc.studentt2 | Scaled Student t Distribution with 2 df Family Function
score.stat | Rao's Score Test Statistics Evaluated at the Null Values
score.stat.vlm | Rao's Score Test Statistics Evaluated at the Null Values
seglines | Hauck-Donner Effects: Segmented Lines Plot
Select | Select Variables for a Formula Response or the RHS of a Formula
seq2binomial | The Two-stage Sequential Binomial Distribution Family Function
setup.smart | Smart Prediction Setup
show-method | Class "SurvS4"
show.summary.drrvglm | Summarizing Reduced Rank Vector Generalized Linear Model (RR-VGLM) and Doubly constrained RR-VGLM Fits
show.summary.pvgam | Summarizing Penalized Vector Generalized Additive Model Fits
show.summary.rrvglm | Summarizing Reduced Rank Vector Generalized Linear Model (RR-VGLM) and Doubly constrained RR-VGLM Fits
show.summary.vgam | Summarizing Vector Generalized Additive Model Fits
show.summary.vglm | Summarizing Vector Generalized Linear Model Fits
show.SurvS4 | Create a Survival Object
simplex | Simplex Distribution Family Function
simulate.vlm | Simulate Responses for VGLMs and VGAMs
Sinmad | The Singh-Maddala Distribution
sinmad | Singh-Maddala Distribution Family Function
Skellam | The Skellam Distribution
skellam | Skellam Distribution Family Function
skewnorm | Skew-Normal Distribution
skewnormal | Univariate Skew-Normal Distribution Family Function
Slash | Slash Distribution
slash | Slash Distribution Family Function
sloglink | Square root-Log Link Mixtures
sm.bs | Smart Prediction
sm.ns | Smart Prediction
sm.os | Defining O'Sullivan Spline Smooths in VGAM Formulas
sm.poly | Smart Prediction
sm.ps | Defining Penalized Spline Smooths in VGAM Formulas
sm.scale | Smart Prediction
sm.scale.default | Smart Prediction
smart.expression | S Expression for Smart Functions
smart.mode.is | Determine What Mode the Smart Prediction is In
smartpred | Smart Prediction
specials | Special Values or Quantities in a Fitted Object
specialsvglm | Special Values or Quantities in a Fitted Object
spikeplot | Spike Plot
sqrtlink | Square Root and Folded Square Root Link Functions
sratio | Ordinal Regression with Stopping Ratios
step4 | Choose a model by AIC in a Stepwise Algorithm
step4vglm | Choose a model by AIC in a Stepwise Algorithm
studentt | Student t Distribution
studentt2 | Student t Distribution
studentt3 | Student t Distribution
subsetcol | Select Variables for a Formula Response or the RHS of a Formula
summary.drrvglm | Summarizing Reduced Rank Vector Generalized Linear Model (RR-VGLM) and Doubly constrained RR-VGLM Fits
summary.rrvglm | Summarizing Reduced Rank Vector Generalized Linear Model (RR-VGLM) and Doubly constrained RR-VGLM Fits
Summary.SurvS4 | Create a Survival Object
summary.vglm | Summarizing Vector Generalized Linear Model Fits
summarypvgam | Summarizing Penalized Vector Generalized Additive Model Fits
summaryvgam | Summarizing Vector Generalized Additive Model Fits
summaryvglm | Summarizing Vector Generalized Linear Model Fits
SURff | Seemingly Unrelated Regressions Family Function
SurvS4 | Create a Survival Object
SurvS4-class | Class "SurvS4"

## -- T --

term.names | Model Formulae and Term Names for VGLMs
term.namesvlm | Model Formulae and Term Names for VGLMs
TIC | Takeuchi's Information Criterion
TICvlm | Takeuchi's Information Criterion
Tobit | The Tobit Distribution
tobit | Tobit Regression
Tol | Tolerances
Topple | The Topp-Leone Distribution
topple | Topp-Leone Distribution Family Function
toxop | Toxoplasmosis Data
Triangle | The Triangle Distribution
trim.constraints | Trimmed Constraint Matrices
Trinorm | Trivariate Normal Distribution Density and Random Variates
trinormal | Trivariate Normal Distribution Family Function
trplot | Trajectory Plot
trplot.qrrvglm | Trajectory plot for QRR-VGLMs
Trunc | Truncated Values for the GT-Expansion Method
truncated | Altered, Inflated, Truncated and Deflated Values in GAITD Regression
truncgeometric | Geometric (Truncated and Untruncated) Distributions
Truncpareto | The Truncated Pareto Distribution
truncpareto | Pareto and Truncated Pareto Distribution Family Functions
truncweibull | Truncated Weibull Distribution Family Function
TypicalVGAMfamilyFunction | Common VGAM Family Function Arguments
TypicalVGAMlink | Link functions for VGLM/VGAM/etc. families

## -- U --

ucberk | University California Berkeley Graduate Admissions
uninormal | Univariate Normal Distribution
uqo | Row-Column Interaction Models including Goodman's RC Association Model and Unconstrained Quadratic Ordination
UtilitiesVGAM | Utility Functions for the VGAM Package

## -- V --

V1 | V1 Flying-Bombs Hits in London
V2 | V2 Missile Hits in London
vcovdrrvglm | Calculate Variance-Covariance Matrix for a Fitted VLM or RR-VGLM or DRR-VGLM or QRR-VGLM Object
vcovqrrvglm | Calculate Variance-Covariance Matrix for a Fitted VLM or RR-VGLM or DRR-VGLM or QRR-VGLM Object
vcovrrvglm | Calculate Variance-Covariance Matrix for a Fitted VLM or RR-VGLM or DRR-VGLM or QRR-VGLM Object
vcovvlm | Calculate Variance-Covariance Matrix for a Fitted VLM or RR-VGLM or DRR-VGLM or QRR-VGLM Object
venice | Venice Maximum Sea Levels Data
venice90 | Venice Maximum Sea Levels Data
VGAM | Vector Generalized Linear and Additive Models and Other Associated Models
vgam | Fitting Vector Generalized Additive Models
vgam-class | Class "vgam"
vgam.control | Control Function for vgam()
vglm | Fitting Vector Generalized Linear Models
vglm-class | Class "vglm"
vglm.control | Control Function for vglm()
vglmff-class | Class "vglmff"
vonmises | von Mises Distribution Family Function
vpairs.profile | Plotting Functions for 'profile' Objects
vplot.profile | Plotting Functions for 'profile' Objects
vsmooth.spline | Vector Cubic Smoothing Spline

## -- W --

waitakere | Waitakere Ranges Data
wald.stat | Wald Test Statistics Evaluated at the Null Values
wald.stat.vlm | Wald Test Statistics Evaluated at the Null Values
waldff | Wald Distribution Family Function
weibull.mean | Weibull Distribution Family Function, Parameterized by the Mean
weibullR | Weibull Distribution Family Function
weightsvglm | Prior and Working Weights of a VGLM fit
wine | Bitterness in Wine Data
wrapup.smart | Cleans Up After Smart Prediction
wsdm | The WSDM Function
wsdm3 | The WSDM Function for GLMs
wsdm3.default | The WSDM Function for GLMs
wsdm3.glm | The WSDM Function for GLMs

## -- Y --

yeo.johnson | Yeo-Johnson Transformation
Yules | Yule-Simon Distribution
yulesimon | Yule-Simon Family Function

## -- Z --

Zabinom | Zero-Altered Binomial Distribution
zabinomial | Zero-Altered Binomial Distribution
zabinomialff | Zero-Altered Binomial Distribution
Zageom | Zero-Altered Geometric Distribution
zageometric | Zero-Altered Geometric Distribution
zageometricff | Zero-Altered Geometric Distribution
Zanegbin | Zero-Altered Negative Binomial Distribution
zanegbinomial | Zero-Altered Negative Binomial Distribution
zanegbinomialff | Zero-Altered Negative Binomial Distribution
Zapois | Zero-Altered Poisson Distribution
zapoisson | Zero-Altered Poisson Distribution
zapoissonff | Zero-Altered Poisson Distribution
zero | The zero Argument in VGAM Family Functions
Zeta | The Zeta Distribution
zeta | Riemann's (and the Hurwitz) Zeta Function, With Derivatives
zetaff | Zeta Distribution Family Function
Zibinom | Zero-Inflated Binomial Distribution
zibinomial | Zero-Inflated Binomial Distribution Family Function
zibinomialff | Zero-Inflated Binomial Distribution Family Function
Zigeom | Zero-Inflated Geometric Distribution
zigeometric | Zero-Inflated Geometric Distribution Family Function
zigeometricff | Zero-Inflated Geometric Distribution Family Function
Zinegbin | Zero-Inflated Negative Binomial Distribution
zinegbinomial | Zero-Inflated Negative Binomial Distribution Family Function
zinegbinomialff | Zero-Inflated Negative Binomial Distribution Family Function
zipebcom | Exchangeable Bivariate cloglog Odds-ratio Model From a Zero-inflated Poisson Distribution
Zipf | The Zipf Distribution
zipf | Zipf Distribution Family Function
Zipfmb | The Zipf-Mandelbrot Distribution
Zipois | Zero-Inflated Poisson Distribution
zipoisson | Zero-Inflated Poisson Distribution Family Function
zipoissonff | Zero-Inflated Poisson Distribution Family Function
Zoabeta | The Zero/One-Inflated Beta Distribution
zoabetaR | Zero- and One-Inflated Beta Distribution Family Function

## -- misc --

[.SurvS4 | Create a Survival Object