# Vector Generalized Linear and Additive Models

## Documentation for package ‘VGAM’ version 0.8-4

- DESCRIPTION file.
- Overview of user guides and package vignettes; browse directory.
- 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 --

AA.Aa.aa | The AA-Aa-aa Blood Group System
AB.Ab.aB.ab | The AB-Ab-aB-ab Blood Group System
AB.Ab.aB.ab2 | The AB-Ab-aB-ab2 Blood Group System
ABO | The ABO Blood Group System
acat | Ordinal Regression with Adjacent Categories Probabilities
AICqrrvglm | 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
Amh | Ali-Mikhail-Haq Distribution's Bivariate Distribution
amh | Ali-Mikhail-Haq Distribution Distribution Family Function
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
as.character.SurvS4 | Create a Survival Object
as.data.frame.SurvS4 | Create a Survival Object
auuc | Auckland University Undergraduate Counts Data

## -- B --

backPain | Data on Back Pain Prognosis, from Anderson (1984)
Benford | Benford's Distribution
Benini | The Benini Distribution
benini | Benini Distribution Family Function
beta.ab | The Two-parameter Beta Distribution Family Function
Betabinom | The Beta-Binomial Distribution
betabinomial | Beta-binomial Distribution Family Function
betabinomial.ab | 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
bilogis4 | Bivariate Logistic Distribution
bilogistic4 | 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
binormal | Bivariate normal distribution
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
bivgamma.mckay | Bivariate Gamma: McKay's Distribution
bminz | 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, UQO and CAO models
calibrate.qrrvglm.control | Control function for CQO/UQO/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
ccoef | Extract Model Constrained/Canonical Coefficients
ccoef-method | Constrained (Canonical) Coefficients
cdf.lmscreg | Cumulative Distribution Function for LMS Quantile Regression
cennormal1 | Censored Normal Distribution
cenpoisson | Censored Poisson Family Function
cenrayleigh | Rayleigh Distribution Family Function
cgo | Redirects the user to cqo
cgumbel | Censored Gumbel Distribution
chestnz | Chest Pain in NZ Adults 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.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
CommonVGAMffArguments | Common VGAM family function Arguments
constraints | Constraint Matrices
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
damh | Ali-Mikhail-Haq Distribution's Bivariate Distribution
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
dbilogis4 | Bivariate Logistic Distribution
dbinom2.or | Bivariate Binary Regression with an Odds Ratio
dbinom2.rho | Bivariate Probit Model
dbisa | The Birnbaum-Saunders Distribution
dbort | The Borel-Tanner Distribution
dcard | Cardioid Distribution
dcennormal1 | Univariate Normal Distribution with Double Censoring
ddagum | The Dagum Distribution
deexp | Expectiles of the Exponential Distribution
DeLury | DeLury's Method for Population Size Estimation
denorm | Expectiles of the Normal Distribution
deplot.lmscreg | Density Plot for LMS Quantile Regression
depvar | Response variable extracted
deunif | Expectiles of the Uniform Distribution
dexpbinomial | Double Exponential Binomial Distribution Family Function
dexpgeom | The Exponential Geometric Distribution
dexplog | The Exponential Logarithmic Distribution
dexppois | The Exponential Poisson Distribution
dfelix | The Felix Distribution
dfgm | Farlie-Gumbel-Morgenstern's Bivariate Distribution
dfisk | The Fisk Distribution
dfnorm | The Folded-Normal Distribution
dfrank | Frank's Bivariate Distribution
dfrechet | The Frechet Distribution
dgengamma | The Generalized Gamma Distribution
dgenray | The Generalized Rayleigh Distribution
dgev | The Generalized Extreme Value Distribution
dgpd | The Generalized Pareto Distribution
dgumbel | The Gumbel Distribution
dhuber | Huber's least favourable distribution
dhuggins91 | Huggins (1991) Capture-recapture Model
dhzeta | Haight's Zeta Function
dinv.gaussian | The Inverse Gaussian Distribution
dinvlomax | The Inverse Lomax Distribution
dinvparalogistic | The Inverse Paralogistic Distribution
dirichlet | Fitting a Dirichlet Distribution
dirmul.old | Fitting a Dirichlet-Multinomial Distribution
dirmultinomial | Fitting a Dirichlet-Multinomial Distribution
dkoenker | Expectiles/Quantiles of the Koenker Distribution
dkumar | The Kumaraswamy Distribution
dlaplace | The Laplace Distribution
dlgamma | The Log-Gamma Distribution
dlino | The Generalized Beta Distribution (Libby and Novick, 1982)
dlog | Logarithmic Distribution
dloglap | The Log-Laplace Distribution
dlomax | The Lomax Distribution
dmaxwell | The Maxwell Distribution
dnaka | Nakagami Distribution
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
dplack | Plackett's Bivariate Distribution
dpolono | The Poisson Lognormal Distribution
dposbinom | Positive-Binomial Distribution
dposnegbin | Positive-Negative Binomial Distribution
dposnorm | The Positive-Normal Distribution
dpospois | Positive-Poisson Distribution
drayleigh | The Rayleigh Distribution
drice | The Rice Distribution
dsimplex | Simplex Distribution
dsinmad | The Singh-Maddala Distribution
dskellam | The Skellam Distribution
dslash | Slash Distribution
dsnorm | Skew-Normal Distribution
dtikuv | A Short-tailed Symmetric Distribution
dtobit | The Tobit Distribution
dtpareto | The Truncated Pareto Distribution
dtriangle | The Triangle Distribution
dyules | Yule-Simon 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

## -- E --

edhuber | Huber's least favourable distribution
eexp | Expectiles of the Exponential Distribution
egev | Generalized Extreme Value Distribution Family Function
egumbel | Gumbel Distribution Family Function
elogit | Logit Link Function
enorm | Expectiles of the Normal Distribution
enzyme | Enzyme Data
erf | Error Function
erlang | Erlang Distribution
eunif | Expectiles of the Uniform Distribution
Expectiles-Exponential | Expectiles of the Exponential Distribution
Expectiles-Koenker | Expectiles/Quantiles of the Koenker Distribution
Expectiles-Normal | Expectiles of the Normal Distribution
Expectiles-Uniform | Expectiles of the Uniform Distribution
expexp | Exponentiated Exponential Distribution
expexp1 | Exponentiated Exponential Distribution
expgeom | The Exponential Geometric Distribution
expgeometric | Exponential Geometric Distribution Family Function
explink | Exponential Link Function
explog | The Exponential Logarithmic Distribution
explogarithmic | Exponential Logarithmic Distribution Family Function
exponential | Exponential Distribution
exppois | The Exponential Poisson Distribution
exppoisson | Exponential Poisson Distribution Family Function

## -- F --

Felix | The Felix Distribution
felix | Felix Distribution Family Function
fff | F Distribution Family Function
Fgm | Farlie-Gumbel-Morgenstern's Bivariate Distribution
fgm | Farlie-Gumbel-Morgenstern's Bivariate 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
Fnorm | The Folded-Normal Distribution
fnormal1 | Folded Normal Distribution Family Function
format.SurvS4 | Create a Survival Object
Frank | Frank's Bivariate Distribution
frank | Frank's Bivariate Distribution Family Function
Frechet | The Frechet Distribution
frechet2 | Frechet Distribution Family Function
freund61 | Freund's (1961) Bivariate Extension of the Exponential Distribution
fsqrt | Folded Square Root Link Function

## -- G --

G1G2G3 | The G1G2G3 Blood Group System
gamma1 | 1-parameter Gamma Distribution
gamma2 | 2-parameter Gamma Distribution
gamma2.ab | 2-parameter Gamma Distribution
gammahyp | Gamma Hyperbola Bivariate Distribution
garma | GARMA (Generalized Autoregressive Moving-Average) Models
gaussianff | Gaussian (normal) Family Function
genbetaII | Generalized Beta Distribution of the Second Kind
gengamma | 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 Distribution
get.smart | Retrieve One Component of ".smart.prediction"
get.smart.prediction | Retrieves ".smart.prediction"
gev | Generalized Extreme Value Distribution Family Function
gevUC | The Generalized Extreme Value Distribution
gew | General Electric and Westinghouse Data
golf | Gamma-Ordinal Link Function
gpd | Generalized Pareto Distribution Family Function
gpdUC | The Generalized Pareto Distribution
grc | Row-Column Association Models including Goodman's RC Association Model
gumbel | Gumbel Distribution Family Function
gumbelIbiv | Gumbel's Type I Bivariate Distribution Family Function
guplot | Gumbel Plot
guplot.default | Gumbel Plot
guplot.vlm | Gumbel Plot

## -- H --

hspider | Hunting Spider Data
huber | Huber's least favourable distribution family function
huber1 | Huber's least favourable distribution family function
hued | Harvard University Degrees Conferred by Student Ethnicity
huggins91 | Huggins (1991) Capture-recapture Model Family Function (approximation only)
huggins91UC | Huggins (1991) Capture-recapture Model
huie | Harvard University International Enrollments
hunua | Hunua Ranges Data
huse | Harvard University Numbers of Ladder Faculty by School and Ethnicity
hyperg | Hypergeometric Family Function
hypersecant | Hyperbolic Secant Distribution Family Function
hypersecant.1 | Hyperbolic Secant Distribution Family Function
Hzeta | Haight's Zeta Function
hzeta | Haight's Zeta Family Function

## -- I --

iam | Index from Array to Matrix
identity | Identity Link Function
Inv.gaussian | The Inverse Gaussian Distribution
inv.gaussianff | Inverse Gaussian Distribution Family Function
invbinomial | Inverse Binomial Distribution Family Function
Invlomax | The Inverse Lomax Distribution
invlomax | Inverse Lomax Distribution Family Function
Invparalogistic | The Inverse Paralogistic Distribution
invparalogistic | Inverse Paralogistic Distribution Family Function
is.na.SurvS4 | Create a Survival Object
is.smart | Test For a Smart Object
is.SurvS4 | Create a Survival Object

## -- K --

koenker | Koenker's Distribution Family Function
Kumar | The Kumaraswamy Distribution
kumar | Kumaraswamy Distribution Family Function

## -- L --

lambertW | The Lambert W function
laplace | Laplace Distribution
leipnik | Leipnik Distribution Family Function
lerch | Lerch Phi Function
leukemia | Acute Myelogenous Leukemia Survival Data
levy | Levy Distribution Family Function
lgamma3ff | Log-gamma Distribution Family Function
lgammaff | Log-gamma Distribution Family Function
lgammaUC | The Log-Gamma Distribution
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/Expectile 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
logc | Complementary-log Link Function
loge | Log link function
logff | Logarithmic Distribution
logistic | Logistic Distribution Family Function
logistic1 | Logistic Distribution Family Function
logistic2 | Logistic Distribution Family Function
logit | Logit Link Function
logitlaplace1 | Log-Laplace and Logit-Laplace Distribution Family Functions
loglaplace1 | Log-Laplace and Logit-Laplace Distribution Family Functions
loglinb2 | Loglinear Model for Two Binary Responses
loglinb3 | Loglinear Model for Three Binary Responses
loglog | Log-log Link Function
lognormal | Lognormal Distribution
lognormal3 | 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
lv | Latent Variables
lvplot | Latent Variable Plot
lvplot.qrrvglm | Latent Variable Plot for QO models
lvplot.rrvglm | Latent Variable Plot for RR-VGLMs

## -- M --

margeff | Marginal effects for the multinomial logit and cumulative models
Math.SurvS4 | Create a Survival Object
Max | Maxima
Maxwell | The Maxwell Distribution
maxwell | Maxwell Distribution Family Function
mbinomial | The Matched Binomial Distribution Family Function
mccullagh89 | McCullagh (1989) Distribution Family Function
meplot | Mean Excess Plot
meplot.default | Mean Excess Plot
meplot.vlm | Mean Excess Plot
micmen | Michaelis-Menten Model
mix2exp | Mixture of Two Exponential Distributions
mix2normal1 | 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
morgenstern | Morgenstern's Bivariate Distribution Family Function
multinomial | Multinomial Logit Model

## -- N --

Nakagami | Nakagami Distribution
nakagami | Nakagami Distribution Family Function
nbolf | Negative Binomial-Ordinal Link Function
negbinomial | Negative Binomial Distribution Family Function
nidentity | Identity Link Function
nloge | Log link function
normal1 | Univariate Normal Distribution
nreciprocal | Reciprocal link function
nzc | Chinese Population in New Zealand 1867-2001 Data
nzmarital | New Zealand Marital Data.

## -- O --

olympic | 2008 Summer Olympic Final Medal Count Data
Ops.SurvS4 | Create a Survival Object
Opt | Maxima
ordpoisson | Ordinal Poisson Family Function
oxtemp | Oxford Temperature Data

## -- P --

palap | The Laplace Distribution
pamh | Ali-Mikhail-Haq Distribution's Bivariate Distribution
Paralogistic | The Paralogistic Distribution
paralogistic | Paralogistic Distribution Family Function
Pareto | The Pareto Distribution
pareto1 | 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
pbilogis4 | Bivariate Logistic Distribution
pbisa | The Birnbaum-Saunders Distribution
pcard | Cardioid Distribution
pdagum | The Dagum Distribution
peexp | Expectiles of the Exponential Distribution
penorm | Expectiles of the Normal Distribution
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
pfgm | Farlie-Gumbel-Morgenstern's Bivariate Distribution
pfisk | The Fisk Distribution
pfnorm | The Folded-Normal Distribution
pfrank | Frank's Bivariate Distribution
pfrechet | The Frechet Distribution
pgengamma | The Generalized Gamma Distribution
pgenray | The Generalized Rayleigh Distribution
pgev | The Generalized Extreme Value Distribution
pgpd | The Generalized Pareto Distribution
pgumbel | The Gumbel Distribution
phuber | Huber's least favourable distribution
phzeta | Haight's Zeta Function
pinv.gaussian | The Inverse Gaussian Distribution
pinvlomax | The Inverse Lomax Distribution
pinvparalogistic | The Inverse Paralogistic Distribution
pkoenker | Expectiles/Quantiles of the Koenker Distribution
pkumar | The Kumaraswamy Distribution
Plackett | Plackett's Bivariate Distribution
plackett | Plackett's Bivariate Distribution Family Function
plaplace | The Laplace Distribution
plgamma | The Log-Gamma Distribution
plino | The Generalized Beta Distribution (Libby and Novick, 1982)
plog | Logarithmic Distribution
ploglap | The Log-Laplace Distribution
plomax | The Lomax Distribution
plotdeplot.lmscreg | Density Plot for LMS Quantile Regression
plotqrrvglm | Model Diagnostic Plots for QRR-VGLMs
plotqtplot.lmscreg | Quantile Plot for LMS Quantile Regression
plotrcam0 | Main effects plot for a Row-Column Association Model (RCAM)
plotvgam | Default VGAM Plotting
plotvgam.control | Control Function for plotvgam()
pmaxwell | The Maxwell Distribution
pnaka | Nakagami Distribution
pneumo | Pneumoconiosis in Coalminers Data
poissonff | Poisson Family Function
poissonp | Poisson-points-on-a-plane/volume Distances Distribution
polf | Poisson-Ordinal Link Function
Polono | The Poisson Lognormal Distribution
polya | Negative Binomial Distribution Family Function
Posbinom | Positive-Binomial Distribution
posbinomial | Positive Binomial Distribution Family Function
Posnegbin | Positive-Negative Binomial Distribution
posnegbinomial | Positive Negative Binomial Distribution Family Function
Posnorm | The Positive-Normal Distribution
posnormal1 | Positive Normal Distribution Family Function
Pospois | Positive-Poisson Distribution
pospoisson | Positive Poisson Distribution Family Function
powl | 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
pplack | Plackett's Bivariate Distribution
ppolono | The Poisson Lognormal Distribution
pposbinom | Positive-Binomial Distribution
pposnegbin | Positive-Negative Binomial Distribution
pposnorm | The Positive-Normal Distribution
ppospois | Positive-Poisson Distribution
prayleigh | The Rayleigh Distribution
predictqrrvglm | Predict Method for a CQO fit
predictvglm | Predict Method for a VGLM fit
prentice74 | Prentice (1974) Log-gamma Distribution
print-method | Class "SurvS4"
print.SurvS4 | Create a Survival Object
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
psimplex | Simplex Distribution
psinmad | The Singh-Maddala Distribution
pslash | Slash Distribution
ptikuv | A Short-tailed Symmetric Distribution
ptobit | The Tobit Distribution
ptpareto | The Truncated Pareto Distribution
ptriangle | The Triangle Distribution
put.smart | Adds a List to the End of the List ".smart.prediction"
pyules | Yule-Simon 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

## -- 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
qfnorm | The Folded-Normal Distribution
qfrechet | The Frechet Distribution
qgengamma | The Generalized Gamma Distribution
qgenray | The Generalized Rayleigh Distribution
qgev | The Generalized Extreme Value Distribution
qgpd | The Generalized Pareto Distribution
qgumbel | The Gumbel Distribution
qhuber | Huber's least favourable distribution
qhzeta | Haight's Zeta Function
qinvlomax | The Inverse Lomax Distribution
qinvparalogistic | The Inverse Paralogistic Distribution
qkoenker | Expectiles/Quantiles of the Koenker 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
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
qposbinom | Positive-Binomial Distribution
qposnegbin | Positive-Negative Binomial Distribution
qposnorm | The Positive-Normal Distribution
qpospois | Positive-Poisson Distribution
qrayleigh | The Rayleigh Distribution
qrrvglm.control | Control function for QRR-VGLMs (CQO)
qsimplex | Simplex Distribution
qsinmad | The Singh-Maddala Distribution
qtikuv | A Short-tailed Symmetric Distribution
qtobit | The Tobit Distribution
qtpareto | The Truncated Pareto Distribution
qtplot.egumbel | Quantile Plot for Gumbel Regression
qtplot.gumbel | Quantile Plot for Gumbel Regression
qtplot.lmscreg | Quantile Plot for LMS Quantile Regression
qtriangle | The Triangle Distribution
quasibinomialff | Quasi-Binomial Family Function
quasipoissonff | Quasi-Poisson Family Function
Qvar | Quasi-variances Preprocessing Function
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

## -- R --

ralap | The Laplace Distribution
ramh | Ali-Mikhail-Haq Distribution's Bivariate 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
rbilogis4 | Bivariate Logistic Distribution
rbinom2.or | Bivariate Binary Regression with an Odds Ratio
rbinom2.rho | Bivariate Probit Model
rbisa | The Birnbaum-Saunders Distribution
rbort | The Borel-Tanner Distribution
Rcam | Mark the Baseline of Row and Column on a Matrix data
rcam | Row-Column Association Models including Goodman's RC Association Model
rcard | Cardioid Distribution
rcqo | Constrained Quadratic Ordination
rdagum | The Dagum Distribution
rdiric | The Dirichlet distribution
recexp1 | Upper Record Values from a 1-parameter Exponential Distribution
reciprocal | Reciprocal link function
recnormal1 | Upper Record Values from a Univariate Normal Distribution
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
rfgm | Farlie-Gumbel-Morgenstern's Bivariate Distribution
rfisk | The Fisk Distribution
rfnorm | The Folded-Normal Distribution
rfrank | Frank's Bivariate Distribution
rfrechet | The Frechet Distribution
rgengamma | The Generalized Gamma Distribution
rgenray | The Generalized Rayleigh Distribution
rgev | The Generalized Extreme Value Distribution
rgpd | The Generalized Pareto Distribution
rgumbel | The Gumbel Distribution
rhobit | Rhobit Link Function
rhuber | Huber's least favourable distribution
rhuggins91 | Huggins (1991) Capture-recapture Model
rhzeta | Haight's Zeta Function
Rice | The Rice Distribution
riceff | Rice Distribution Family Function
rig | Reciprocal Inverse Gaussian distribution
rinv.gaussian | The Inverse Gaussian Distribution
rinvlomax | The Inverse Lomax Distribution
rinvparalogistic | The Inverse Paralogistic Distribution
rkoenker | Expectiles/Quantiles of the Koenker Distribution
rkumar | The Kumaraswamy Distribution
rlaplace | The Laplace Distribution
rlgamma | The Log-Gamma Distribution
rlino | The Generalized Beta Distribution (Libby and Novick, 1982)
rlog | Logarithmic Distribution
rloglap | The Log-Laplace Distribution
rlomax | The Lomax Distribution
rlplot.egev | Return Level Plot for GEV Fits
rlplot.gev | Return Level Plot for GEV Fits
rmaxwell | The Maxwell Distribution
rnaka | Nakagami 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
rplack | Plackett's Bivariate Distribution
rpolono | The Poisson Lognormal Distribution
rposbinom | Positive-Binomial 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()
rsimplex | Simplex Distribution
rsinmad | The Singh-Maddala Distribution
rskellam | The Skellam Distribution
rslash | Slash Distribution
rsnorm | Skew-Normal Distribution
rtikuv | A Short-tailed Symmetric Distribution
rtobit | The Tobit Distribution
rtpareto | The Truncated Pareto Distribution
rtriangle | The Triangle Distribution
ruge | Rutherford-Geiger Polonium Data
ryules | Yule-Simon 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

## -- S --

s | Defining smooths in VGAM formulae
seq2binomial | The Two-stage Sequential Binomial Distribution Family Function
setup.smart | Smart Prediction Setup
show-method | Class "SurvS4"
simplex | Simplex Distribution Family Function
Sinmad | The Singh-Maddala Distribution
sinmad | Singh-Maddala Distribution Family Function
Skellam | The Skellam Distribution
skellam | Skellam Distribution Family Function
skewnormal1 | Univariate Skew-Normal Distribution Family Function
Slash | Slash Distribution
slash | Slash Distribution Family Function
smart.expression | S Expression for Smart Functions
smart.mode.is | Determine What Mode the Smart Prediction is In
smartpred | Smart Prediction
snorm | Skew-Normal Distribution
sratio | Ordinal Regression with Stopping Ratios
studentt | Student t Distribution
studentt2 | Student t Distribution
studentt3 | Student t Distribution
Summary.SurvS4 | Create a Survival Object
SurvS4 | Create a Survival Object
SurvS4-class | Class "SurvS4"

## -- T --

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
Tpareto | The Truncated Pareto Distribution
tpareto1 | Pareto and Truncated Pareto Distribution Family Functions
Triangle | The Triangle Distribution
triangle | Triangle Distribution Family Function
trplot | Trajectory Plot
trplot.qrrvglm | Trajectory plot for QRR-VGLMs
TypicalVGAMfamilyFunction | Common VGAM family function Arguments
TypicalVGAMlinkFunction | Link functions for VGLM/VGAM/etc. families

## -- U --

ugss | Undergraduate Statistics Students Lifestyle Questionnaire
uqo | Fitting Unconstrained Quadratic Ordination (UQO)
uqo.control | Control Function for UQO models
uscrime | Estimated Crime in 2009 in USA
usgrain | Grain Prices Data in USA

## -- V --

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
wald | Wald Distribution Family Function
weibull | Weibull Distribution Family Function
weightsvglm | Prior and Working Weights of a VGLM fit
wffc | 2008 World Fly Fishing Championships Data
wffc.indiv | 2008 World Fly Fishing Championships (Individual results) Data
wffc.nc | 2008 World Fly Fishing Championships (Number of captures) Data
wffc.P1 | Point System for the 2008 World Fly Fishing Championships
wffc.P1star | Point System for the 2008 World Fly Fishing Championships
wffc.P2 | Point System for the 2008 World Fly Fishing Championships
wffc.P2star | Point System for the 2008 World Fly Fishing Championships
wffc.P3 | Point System for the 2008 World Fly Fishing Championships
wffc.P3star | Point System for the 2008 World Fly Fishing Championships
wffc.teams | 2008 World Fly Fishing Championships (Team results) 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 --

Zanegbin | Zero-Altered Negative Binomial Distribution
zanegbinomial | Zero-Altered Negative Binomial Distribution
Zapois | Zero-Altered Poisson Distribution
zapoisson | 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
Zigeom | Zero-Inflated Geometric Distribution
zigeometric | Zero-Inflated Geometric Distribution Family Function
Zinegbin | Zero-Inflated Negative Binomial Distribution
zinegbinomial | 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

## -- misc --

[.SurvS4 | Create a Survival Object