# Vector Generalized Linear and Additive Models

## Documentation for package ‘VGAM’ version 1.0-2

- DESCRIPTION file.
- User guides, package vignettes and other documentation.
- 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

## -- 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
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
alaplace1 | Asymmetric Laplace Distribution Family Functions
alaplace2 | Asymmetric Laplace Distribution Family Functions
alaplace3 | Asymmetric Laplace Distribution Family Functions
alclevels | Crashes on New Zealand Roads in 2009
alcoff | Crashes on New Zealand Roads in 2009
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
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
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)
beggs | Bacon and Eggs Data
Benford | Benford's Distribution
Benini | The Benini Distribution
benini1 | Benini Distribution Family Function
Betabinom | The Beta-Binomial Distribution
betabinomial | Beta-binomial Distribution Family Function
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
bigamma.mckay | Bivariate Gamma: McKay's Distribution
bigumbelIexp | Gumbel's Type I Bivariate Distribution Family Function
bilogis | Bivariate Logistic Distribution
bilogistic | Bivariate Logistic Distribution Family Function
Binom2.or | Bivariate Binary Regression with an Odds Ratio
binom2.or | Bivariate Binary Regression with an Odds Ratio (Family Function)
Binom2.rho | Bivariate Probit Model
binom2.Rho | Bivariate Probit Model (Family Function)
binom2.rho | Bivariate Probit Model (Family Function)
binomialff | Binomial Family Function
Binorm | Bivariate Normal Distribution Cumulative Distribution Function
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 Distribution Family Function
Bistudentt | Bivariate Student-t distribution cumulative distribution 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

## -- 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
cao | Fitting Constrained Additive Ordination (CAO)
cao.control | Control Function for RR-VGAMs (CAO)
Card | Cardioid Distribution
cardioid | Cardioid Distribution Family Function
cauchit | 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 Distribution 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 Distribution
clo | Redirects the User to rrvglm()
cloglog | Complementary Log-log Link Function
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
confint | Confidence Intervals for VGLM Parameters
confintrrvglm | Confidence Intervals for VGLM Parameters
confintvgam | Confidence Intervals for VGLM Parameters
confintvglm | Confidence Intervals for VGLM Parameters
constraints | Constraint Matrices
constraints.vlm | Constraint Matrices
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
dalap | The Laplace Distribution
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 Binary Regression with an Odds Ratio
dbinom2.rho | Bivariate Probit Model
dbinorm | Bivariate Normal Distribution Cumulative Distribution Function
dbinormcop | Gaussian Copula (Bivariate) Distribution
dbiplackcop | Plackett's Bivariate Copula
dbisa | The Birnbaum-Saunders Distribution
dbistudentt | Bivariate Student-t distribution cumulative distribution function
dbort | The Borel-Tanner Distribution
dcard | Cardioid Distribution
ddagum | The Dagum Distribution
deermice | Captures of Peromyscus maniculatus, also known as deer mice.
deexp | Expectiles of the Exponential Distribution
denorm | Expectiles of the Normal Distribution
deplot.lmscreg | Density Plot for LMS Quantile Regression
depvar | Response Variable Extracted
deunif | Expectiles of the Uniform Distribution
dexpgeom | The Exponential Geometric Distribution
dexplog | The Exponential Logarithmic Distribution
dexppois | The Exponential Poisson 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
dgenbetaII | The Generalized Beta II Distribution
dgengamma.stacy | The Generalized Gamma Distribution
dgenpois | The Generalized Poisson Distribution
dgenray | The Generalized Rayleigh Distribution
dgev | The Generalized Extreme Value Distribution
dgompertz | The Gompertz Distribution
dgpd | The Generalized Pareto Distribution
dgumbel | The Gumbel Distribution
dgumbelII | The Gumbel-II Distribution
dhuber | Huber's Least Favourable Distribution
dhzeta | Haight's Zeta Distribution
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
dloglap | The Log-Laplace Distribution
dlomax | The Lomax Distribution
dmakeham | The Makeham Distribution
dmaxwell | The Maxwell Distribution
dnaka | Nakagami Distribution
doiposbinom | One-Inflated Positive Binomial Distribution
doipospois | One-Inflated Positive Poisson 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
dposbinom | Positive-Binomial Distribution
dposgeom | Positive-Geometric Distribution
dposnegbin | Positive-Negative Binomial Distribution
dposnorm | The Positive-Normal Distribution
dpospois | Positive-Poisson Distribution
drayleigh | The Rayleigh Distribution
drice | The Rice Distribution
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
dtikuv | A Short-tailed Symmetric Distribution
dtobit | The Tobit Distribution
dtriangle | The Triangle Distribution
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
dzipois | Zero-Inflated Poisson Distribution
dzoabeta | The Zero/One-Inflated Beta Distribution
dzoibetabinom | The Beta-Binomial Distribution
dzoibetabinom.ab | The Beta-Binomial Distribution

## -- E --

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
extlogit | Logit Link Function

## -- F --

Felix | The Felix Distribution
felix | Felix Distribution Family Function
fff | F Distribution Family Function
fill | Creates a Matrix of Appropriate Dimension
fill1 | Creates a Matrix of Appropriate Dimension
finney44 | Toxicity trial for insects
fisherz | 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
flourbeetle | Mortality of Flour Beetles from Carbon Disulphide
Foldnorm | The Folded-Normal Distribution
foldnormal | Folded Normal Distribution Family Function
foldsqrt | Folded Square Root Link Function
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 --

gamma1 | 1-parameter Gamma Distribution
gamma2 | 2-parameter Gamma Distribution
gammahyperbola | Gamma Hyperbola Bivariate Distribution
gammaR | 2-parameter Gamma Distribution
garma | GARMA (Generalized Autoregressive Moving-Average) Models
gaussianff | Gaussian (Normal) Family Function
GenbetaII | The Generalized Beta II Distribution
genbetaII | Generalized Beta Distribution of the Second Kind
gengamma.stacy | Generalized Gamma distribution family function
gengammaUC | The Generalized Gamma Distribution
genpoisson | Generalized Poisson distribution
genray | The Generalized Rayleigh Distribution
genrayleigh | Generalized Rayleigh Distribution 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 Distribution Family Function
gevff | Generalized Extreme Value Distribution Family Function
gevUC | The Generalized Extreme Value Distribution
gew | General Electric and Westinghouse Data
golf | Gamma-Ordinal Link Function
Gompertz | The Gompertz Distribution
gompertz | Gompertz Distribution Family Function
gpd | Generalized Pareto Distribution 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 Distribution Family Function
Gumbel-II | The Gumbel-II Distribution
gumbelff | Gumbel Distribution Family Function
gumbelII | Gumbel-II Distribution 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
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
hyperg | Hypergeometric Family Function
hypersecant | Hyperbolic Secant Distribution Family Function
hypersecant01 | Hyperbolic Secant Distribution Family Function
Hzeta | Haight's Zeta Distribution
hzeta | Haight's Zeta Family Function

## -- I --

iam | Index from Array to Matrix
identitylink | Identity Link Function
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.buggy | Does the fitted object suffer from a known bug?
is.buggy.vlm | Does the fitted object suffer from a known bug?
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.zero | Zero Constraint Matrices
is.zero.matrix | Zero Constraint Matrices
is.zero.vglm | Zero Constraint Matrices

## -- K --

kendall.tau | Kendall's Tau Statistic
Kumar | The Kumaraswamy Distribution
kumar | Kumaraswamy Distribution Family Function

## -- L --

lakeO | Annual catches on Lake Otamangakau from October 1974 to October 1989
lambertW | The Lambert W function
laplace | Laplace Distribution
latvar | Latent Variables
leipnik | Leipnik Distribution 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 Gamma Distribution
linkfun | Link Functions
linkfun.vglm | 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
logc | Complementary-log Link Function
loge | Log Link Function, and Variants
logF | Natural Exponential Family Generalized Hyperbolic Secant Distribution Family Function
logff | Logarithmic Distribution
logistic | Logistic Distribution Family Function
logistic1 | Logistic Distribution Family Function
logit | Logit Link Function
logitlaplace1 | Log-Laplace and Logit-Laplace Distribution Family Functions
logitoffsetlink | Logit-with-an-Offset Link Function
loglaplace1 | Log-Laplace and Logit-Laplace Distribution Family Functions
logLik.vlm | Extract Log-likelihood for VGLMs/VGAMs/etc.
loglinb2 | Loglinear Model for Two Binary Responses
loglinb3 | Loglinear Model for Three Binary Responses
loglog | Log-log Link Function
logneg | Log Link Function, and Variants
lognormal | Lognormal Distribution
logoff | Log Link Function with an Offset
Lomax | The Lomax Distribution
lomax | Lomax Distribution Family Function
lqnorm | Minimizing the L-q norm Family Function
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 Distribution 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 Distribution Family Function
mccullagh89 | McCullagh (1989) Distribution Family Function
melbmaxtemp | Melbourne Daily Maximum Temperatures
meplot | Mean Excess Plot
meplot.default | Mean Excess Plot
meplot.vlm | Mean Excess Plot
micmen | Michaelis-Menten Model
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.framevlm | Construct the Model Frame of a VLM Object
model.matrixvlm | Construct the Design Matrix of a VLM Object
moffset | Matrix Offset
multilogit | Multi-logit Link Function
multinomial | Multinomial Logit Model

## -- N --

Nakagami | Nakagami Distribution
nakagami | Nakagami Distribution Family Function
nbcanlink | Negative Binomial Canonical Link Function
nbolf | Negative Binomial-Ordinal Link Function
nef.hs | Hyperbolic Secant Distribution Family Function
negbinomial | Negative Binomial Distribution Family Function
negbinomial.size | Negative Binomial Distribution Family Function With Known Size
negidentity | Identity Link Function
negloge | Log Link Function, and Variants
negreciprocal | Reciprocal Link Function
normal.vcm | Univariate Normal Distribution as a Varying-Coefficient Model
normal1 | Univariate Normal Distribution
nparam | 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 --

Oiposbinom | One-Inflated Positive Binomial Distribution
Oipospois | One-Inflated Positive Poisson Distribution
oipospoisson | One-inflated Positive Poisson Distribution Family Function
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
oxtemp | Oxford Temperature Data

## -- P --

palap | The Laplace Distribution
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 Cumulative Distribution Function
pbinormcop | Gaussian Copula (Bivariate) Distribution
pbiplackcop | Plackett's Bivariate Copula
pbisa | The Birnbaum-Saunders Distribution
pcard | Cardioid Distribution
pdagum | The Dagum 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
pfisk | The Fisk Distribution
pfoldnorm | The Folded-Normal Distribution
pfrechet | The Frechet Distribution
pgamma.deriv | Derivatives of the Incomplete Gamma Integral
pgamma.deriv.unscaled | Derivatives of the Incomplete Gamma Integral (Unscaled Version)
pgengamma.stacy | The Generalized Gamma Distribution
pgenray | The Generalized Rayleigh Distribution
pgev | The Generalized Extreme Value Distribution
pgompertz | The 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
ploglap | The Log-Laplace Distribution
plomax | The Lomax Distribution
plot.vgam | Default VGAM Plotting
plotdeplot.lmscreg | Density Plot for LMS Quantile Regression
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 Cumulative Distribution Function
poiposbinom | One-Inflated Positive Binomial Distribution
poipospois | One-Inflated Positive Poisson Distribution
poisson.points | Poisson-points-on-a-plane/volume Distances Distribution
poissonff | Poisson Family Function
PoissonPoints | Poisson Points Distribution
polf | Poisson-Ordinal Link Function
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
Posbinom | Positive-Binomial Distribution
posbinomial | Positive Binomial Distribution Family Function
Posgeom | Positive-Geometric Distribution
Posnegbin | Positive-Negative Binomial Distribution
posnegbinomial | Positive Negative Binomial Distribution Family Function
Posnorm | The Positive-Normal Distribution
posnormal | Positive Normal Distribution Family Function
Pospois | Positive-Poisson Distribution
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
pposbinom | Positive-Binomial Distribution
pposgeom | Positive-Geometric Distribution
pposnegbin | Positive-Negative Binomial Distribution
pposnorm | The Positive-Normal Distribution
ppospois | Positive-Poisson Distribution
prats | Pregnant Rats Toxological Experiment Data
prayleigh | The 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
probit | Probit Link Function
propodds | Proportional Odds Model for Ordinal Regression
prplot | Probability Plots for Categorical Data Analysis
prplot.control | Probability Plots for Categorical Data Analysis
ps | Defining Penalized Spline Smooths in VGAM Formulas
psc.t2 | Expectiles/Quantiles of the Scaled Student t Distribution with 2 Df
psinmad | The Singh-Maddala Distribution
pslash | Slash Distribution
ptikuv | A Short-tailed Symmetric Distribution
ptobit | The Tobit 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
pzibinom | Zero-Inflated Binomial Distribution
pzigeom | Zero-Inflated Geometric Distribution
pzinegbin | Zero-Inflated Negative Binomial Distribution
pzipf | The Zipf 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 --

qalap | The Laplace Distribution
qbenf | Benford's Distribution
qbenini | The Benini Distribution
qbetanorm | The Beta-Normal Distribution
qbisa | The Birnbaum-Saunders Distribution
qcard | Cardioid Distribution
qdagum | The Dagum 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
qfisk | The Fisk Distribution
qfoldnorm | The Folded-Normal Distribution
qfrechet | The Frechet Distribution
qgengamma.stacy | The Generalized Gamma Distribution
qgenray | The Generalized Rayleigh Distribution
qgev | The Generalized Extreme Value Distribution
qgompertz | The 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)
qloglap | The Log-Laplace Distribution
qlomax | The Lomax Distribution
qmakeham | The Makeham Distribution
qmaxwell | The Maxwell Distribution
qnaka | Nakagami Distribution
qoiposbinom | One-Inflated Positive Binomial Distribution
qoipospois | One-Inflated Positive Poisson 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
qposbinom | Positive-Binomial Distribution
qposgeom | Positive-Geometric Distribution
qposnegbin | Positive-Negative Binomial Distribution
qposnorm | The Positive-Normal Distribution
qpospois | Positive-Poisson Distribution
qrayleigh | The 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
qtikuv | A Short-tailed Symmetric Distribution
qtobit | The Tobit 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
quasibinomialff | Quasi-Binomial Family Function
quasipoissonff | Quasi-Poisson Family Function
Qvar | Quasi-variances Preprocessing Function
qvar | Quasi-variances Extraction Function
qzabinom | Zero-Altered Binomial Distribution
qzageom | Zero-Altered Geometric Distribution
qzanegbin | Zero-Altered Negative Binomial Distribution
qzapois | Zero-Altered Poisson Distribution
qzibinom | Zero-Inflated Binomial Distribution
qzigeom | Zero-Inflated Geometric Distribution
qzinegbin | Zero-Inflated Negative Binomial Distribution
qzipois | Zero-Inflated Poisson Distribution
qzoabeta | The Zero/One-Inflated Beta Distribution

## -- R --

ralap | The Laplace Distribution
Rayleigh | The Rayleigh Distribution
rayleigh | Rayleigh Distribution 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 Binary Regression with an Odds Ratio
rbinom2.rho | Bivariate Probit Model
rbinorm | Bivariate Normal Distribution Cumulative Distribution Function
rbinormcop | Gaussian Copula (Bivariate) Distribution
rbiplackcop | Plackett's Bivariate Copula
rbisa | The Birnbaum-Saunders Distribution
rbort | The Borel-Tanner Distribution
rcard | 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
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
reciprocal | Reciprocal Link Function
reexp | Expectiles of the Exponential Distribution
renorm | Expectiles of the Normal Distribution
reunif | Expectiles of the Uniform Distribution
rexpgeom | The Exponential Geometric Distribution
rexplog | The Exponential Logarithmic Distribution
rexppois | The Exponential Poisson Distribution
rfisk | The Fisk Distribution
rfoldnorm | The Folded-Normal Distribution
rfrechet | The Frechet Distribution
rgengamma.stacy | The Generalized Gamma Distribution
rgenray | The Generalized Rayleigh Distribution
rgev | The Generalized Extreme Value Distribution
rgompertz | The Gompertz Distribution
rgpd | The Generalized Pareto Distribution
rgumbel | The Gumbel Distribution
rgumbelII | The Gumbel-II Distribution
rhobit | 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
rloglap | The Log-Laplace 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
rnaka | Nakagami Distribution
roiposbinom | One-Inflated Positive Binomial Distribution
roipospois | One-Inflated Positive Poisson Distribution
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
rposbinom | Positive-Binomial Distribution
rposgeom | Positive-Geometric Distribution
rposnegbin | Positive-Negative Binomial Distribution
rposnorm | The Positive-Normal Distribution
rpospois | Positive-Poisson Distribution
rrar | Nested reduced-rank autoregressive models for multiple time series
rrayleigh | The Rayleigh Distribution
rrice | The Rice Distribution
rrvglm | Fitting Reduced-Rank Vector Generalized Linear Models (RR-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
rtikuv | A Short-tailed Symmetric Distribution
rtobit | The Tobit Distribution
rtriangle | The Triangle Distribution
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
rzibinom | Zero-Inflated Binomial Distribution
rzigeom | Zero-Inflated Geometric Distribution
rzinegbin | Zero-Inflated Negative Binomial 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
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.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
sm.bs | Smart Prediction
sm.ns | Smart Prediction
sm.poly | Smart Prediction
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
sratio | Ordinal Regression with Stopping Ratios
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.SurvS4 | Create a Survival Object
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
Tikuv | A Short-tailed Symmetric Distribution
tikuv | Short-tailed Symmetric Distribution Family Function
Tobit | The Tobit Distribution
tobit | Tobit Model
Tol | Tolerances
toxop | Toxoplasmosis Data
Triangle | The Triangle Distribution
triangle | Triangle Distribution Family Function
trplot | Trajectory Plot
trplot.qrrvglm | Trajectory plot for QRR-VGLMs
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
vcov | Calculate Variance-Covariance Matrix for a Fitted VLM or RR-VGLM Object
vcovrrvglm | Calculate Variance-Covariance Matrix for a Fitted VLM or RR-VGLM Object
vcovvlm | Calculate Variance-Covariance Matrix for a Fitted VLM or RR-VGLM Object
venice | Venice Maximum Sea Levels Data
venice90 | Venice Maximum Sea Levels Data
VGAM | Vector Generalized Linear and Additive 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
vsmooth.spline | Vector cubic smoothing spline

## -- W --

waitakere | Waitakere Ranges Data
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

## -- Y --

yeo.johnson | Yeo-Johnson Transformation
yip88 | Zero-Inflated Poisson Distribution (Yip (1988) algorithm)
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 Zeta Function
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
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