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VGAM (version 1.1-9)

Vector Generalized Linear and Additive Models

Description

An implementation of about 6 major classes of statistical regression models. The central algorithm is Fisher scoring and iterative reweighted least squares. At the heart of this package are the vector generalized linear and additive model (VGLM/VGAM) classes. VGLMs can be loosely thought of as multivariate GLMs. VGAMs are data-driven VGLMs that use smoothing. The book "Vector Generalized Linear and Additive Models: With an Implementation in R" (Yee, 2015) gives details of the statistical framework and the package. Currently only fixed-effects models are implemented. Many (100+) models and distributions are estimated by maximum likelihood estimation (MLE) or penalized MLE. The other classes are RR-VGLMs (reduced-rank VGLMs), quadratic RR-VGLMs, reduced-rank VGAMs, RCIMs (row-column interaction models)---these classes perform constrained and unconstrained quadratic ordination (CQO/UQO) models in ecology, as well as constrained additive ordination (CAO). Hauck-Donner effect detection is implemented. Note that these functions are subject to change; see the NEWS and ChangeLog files for latest changes.

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Version

Install

install.packages('VGAM')

Monthly Downloads

39,040

Version

1.1-9

License

GPL-3

Maintainer

Last Published

September 19th, 2023

Functions in VGAM (1.1-9)

ABO

The ABO Blood Group System
AR1EIM

Computation of the Exact EIM of an Order-1 Autoregressive Process
AA.Aa.aa

The AA-Aa-aa Blood Group System
dAR1

The AR-1 Autoregressive Process
AB.Ab.aB.ab

The AB-Ab-aB-ab Blood Group System
BICvlm

Bayesian Information Criterion
AICvlm

Akaike's Information Criterion
A1A2A3

The A1A2A3 Blood Group System
Coef

Computes Model Coefficients and Quantities
AR1

Autoregressive Process with Order-1 Family Function
Coef.qrrvglm-class

Class ``Coef.qrrvglm''
Inv.gaussian

The Inverse Gaussian Distribution
Coef.rrvglm-class

Class ``Coef.rrvglm''
Coef.vlm

Extract Model Coefficients for VLM Objects
Influence

Influence Function (S4 generic) of a Fitted Model
CommonVGAMffArguments

Common VGAM Family Function Arguments
Coef.rrvglm

Returns Important Matrices etc. of a RR-VGLM Object
Huggins89.t1

Table 1 of Huggins (1989)
KLD

Kullback-Leibler Divergence
Coef.qrrvglm

Returns Important Matrices etc. of a QO Object
Max

Maximums
Pareto

The Pareto Distribution
Rank

Rank
Rcim

Mark the Baseline of Row and Column on a Matrix data
Opt

Optimums
MNSs

The MNSs Blood Group System
R2latvar

R-squared for Latent Variable Models
Links

Link functions for VGLM/VGAM/etc. families
Qvar

Quasi-variances Preprocessing Function
SURff

Seemingly Unrelated Regressions Family Function
SurvS4

Create a Survival Object
SurvS4-class

Class "SurvS4"
V1

V1 Flying-Bombs Hits in London
V2

V2 Missile Hits in London
Tol

Tolerances
Trunc

Truncated Values for the GT-Expansion Method
TIC

Takeuchi's Information Criterion
VGAM-package

Vector Generalized Linear and Additive Models and Associated Models
UtilitiesVGAM

Utility Functions for the VGAM Package
Select

Select Variables for a Formula Response or the RHS of a Formula
altered

Altered, Inflated, Truncated and Deflated Values in GAITD Regression
anova.vglm

Analysis of Deviance for Vector Generalized Linear Model Fits
amlpoisson

Poisson Regression by Asymmetric Maximum Likelihood Estimation
alaplaceUC

The Laplace Distribution
acat

Ordinal Regression with Adjacent Categories Probabilities
amlnormal

Asymmetric Least Squares Quantile Regression
auuc

Auckland University Undergraduate Counts Data
amlexponential

Exponential Regression by Asymmetric Maximum Likelihood Estimation
amlbinomial

Binomial Logistic Regression by Asymmetric Maximum Likelihood Estimation
alaplace

Asymmetric Laplace Distribution Family Functions
betaII

Beta Distribution of the Second Kind
Benini

The Benini Distribution
beggs

Bacon and Eggs Data
aux.posbernoulli.t

Auxiliary Function for the Positive Bernoulli Family Function with Time Effects
backPain

Data on Back Pain Prognosis, from Anderson (1984)
bell

The Bell Series of Integers
Betabinom

The Beta-Binomial Distribution
betaR

The Two-parameter Beta Distribution Family Function
Benford

Benford's Distribution
benini1

Benini Distribution Family Function
betabinomialff

Beta-binomial Distribution Family Function
Biamhcop

Ali-Mikhail-Haq Bivariate Distribution
biclaytoncop

Clayton Copula (Bivariate) Family Function
betaff

The Two-parameter Beta Distribution Family Function
betabinomial

Beta-binomial Distribution Family Function
biamhcop

Ali-Mikhail-Haq Distribution Family Function
Betanorm

The Beta-Normal Distribution
betageometric

Beta-geometric Distribution Family Function
betaprime

The Beta-Prime Distribution
Betageom

The Beta-Geometric Distribution
Biclaytoncop

Clayton Copula (Bivariate) Distribution
bifrankcop

Frank's Bivariate Distribution Family Function
bilogistic

Bivariate Logistic Distribution Family Function
binom2.or

Bivariate Binary Regression with an Odds Ratio (Family Function)
Frank

Frank's Bivariate Distribution
bifgmcop

Farlie-Gumbel-Morgenstern's Bivariate Distribution Family Function
Bifgmcop

Farlie-Gumbel-Morgenstern's Bivariate Distribution
bifgmexp

Bivariate Farlie-Gumbel-Morgenstern Exponential Distribution Family Function
bigumbelIexp

Gumbel's Type I Bivariate Distribution Family Function
bilogis

Bivariate Logistic Distribution
binormalcop

Gaussian Copula (Bivariate) Family Function
Binormcop

Gaussian Copula (Bivariate) Distribution
Binom2.rho

Bivariate Probit Model
biplackettcop

Plackett's Bivariate Copula Family Function
Binom2.or

Bivariate Odds Ratio Model
binom2.rho

Bivariate Probit Regression
Biplackett

Plackett's Bivariate Copula
binormal

Bivariate Normal Distribution Family Function
Binorm

Bivariate Normal Distribution Cumulative Distribution Function
Bisa

The Birnbaum-Saunders Distribution
biplot-methods

Biplot of Constrained Regression Models
brat

Bradley Terry Model
bisa

Birnbaum-Saunders Regression Family Function
bistudentt

Bivariate Student-t Family Function
Brat

Inputting Data to fit a Bradley Terry Model
borel.tanner

Borel-Tanner Distribution Family Function
Bort

The Borel-Tanner Distribution
binomialff

Binomial Family Function
calibrate.rrvglm

Calibration for CLO models (RR-VGLMs)
calibrate.rrvglm.control

Control Function for CLO (RR-VGLM) Calibration
calibrate-methods

Calibration for Constrained Regression Models
calibrate

Model Calibrations
bratt

Bradley Terry Model With Ties
cao

Fitting Constrained Additive Ordination (CAO)
budworm

Western Spuce Budworm
Bistudentt

Bivariate Student-t Distribution Density Function
cao.control

Control Function for RR-VGAMs (CAO)
cfibrosis

Cystic Fibrosis Data
cgo

Redirects the user to cqo
Card

Cardioid Distribution
cauchitlink

Cauchit Link Function
cardioid

Cardioid Distribution Family Function
cauchy

Cauchy Distribution Family Function
coefvgam

Extract Model Coefficients of a vgam() Object
coefvlm

Extract Model Coefficients
cdf.lmscreg

Cumulative Distribution Function for LMS Quantile Regression
cens.gumbel

Censored Gumbel Distribution
clogloglink

Complementary Log-log Link Function
coalminers

Breathlessness and Wheeze Amongst Coalminers Data
chisq

Chi-squared Distribution
bmi.nz

Body Mass Index of New Zealand Adults Data
calibrate.qrrvglm

Calibration for CQO and CAO models
chest.nz

Chest Pain in NZ Adults Data
clo

Redirects the User to rrvglm()
cratio

Ordinal Regression with Continuation Ratios
calibrate.qrrvglm.control

Control Function for CQO/CAO Calibration
chinese.nz

Chinese Population in New Zealand 1867--2001 Data
dagum

Dagum Distribution Family Function
cops

Centre of the Parameter Space
confintvglm

Confidence Intervals for Parameters of VGLMs
constraints

Constraint Matrices
Dagum

The Dagum Distribution
deermice

Captures of Peromyscus maniculatus (Also Known as Deer Mice).
cumulative

Ordinal Regression with Cumulative Probabilities
deplot.lmscreg

Density Plot for LMS Quantile Regression
eCDF

Empirical Cumulative Distribution Function
Diffzeta

Differenced Zeta Distribution
cens.normal

Censored Normal Distribution
dirichlet

Fitting a Dirichlet Distribution
cens.poisson

Censored Poisson Family Function
cqo

Fitting Constrained Quadratic Ordination (CQO)
crashes

Crashes on New Zealand Roads in 2009
depvar

Response Variable Extracted
Expectiles-Exponential

Expectiles of the Exponential Distribution
df.residual

Residual Degrees-of-Freedom
double.cens.normal

Univariate Normal Distribution with Double Censoring
concoef-methods

Constrained (Canonical) Coefficients
expgeom

The Exponential Geometric Distribution
concoef

Extract Model Constrained/Canonical Coefficients
corbet

Corbet's Butterfly Data
explink

Exponential Link Function
expint

The Exponential Integral and Variants
add1.vglm

Add or Drop All Possible Single Terms to/from a Model
dgaitdplot

Plotting the GAITD Combo Density
dextlogF

Extended log-F Distribution
double.expbinomial

Double Exponential Binomial Distribution Family Function
dirmul.old

Fitting a Dirichlet-Multinomial Distribution
explog

The Exponential Logarithmic Distribution
diffzeta

Differenced Zeta Distribution Family Function
dirmultinomial

Fitting a Dirichlet-Multinomial Distribution
ducklings

Relative Frequencies of Serum Proteins in White Pekin Ducklings
erf

Error Function, and variants
erlang

Erlang Distribution
expexpff1

Exponentiated Exponential Distribution
Expectiles-Uniform

Expectiles of the Uniform Distribution
extlogF1

Extended log-F Distribution Family Function
expgeometric

Exponential Geometric Distribution Family Function
Expectiles-Normal

Expectiles of the Normal Distribution
enzyme

Enzyme Data
Foldnorm

The Folded-Normal Distribution
expexpff

Exponentiated Exponential Distribution
fill1

Creates a Matrix of Appropriate Dimension
finney44

Toxicity trial for insects
Felix

The Felix Distribution
explogff

Exponential Logarithmic Distribution Family Function
exponential

Exponential Distribution
foldnormal

Folded Normal Distribution Family Function
exppois

The Exponential Poisson Distribution
exppoisson

Exponential Poisson Distribution Family Function
fix.crossing

Fixing a Quantile Regression having Crossing
Gaitdnbinom

Generally Altered, Inflated, Truncated and Deflated Negative Binomial Distribution
flourbeetle

Mortality of Flour Beetles from Carbon Disulphide
fisherzlink

Fisher's Z Link Function
gengamma.stacy

Generalized Gamma distribution family function
familyname

Family Function Name
gaitdnbinomial

Generally Altered, Inflated, Truncated and Deflated Negative Binomial Regression
fisk

Fisk Distribution family function
gammahyperbola

Gamma Hyperbola Bivariate Distribution
gengammaUC

Generalized Gamma Distribution
garma

GARMA (Generalized Autoregressive Moving-Average) Models
gaitdlog

Generally Altered, Inflated, Truncated and Deflated Logarithmic Regression
fff

F Distribution Family Function
foldsqrtlink

Folded Square Root Link Function
freund61

Freund's (1961) Bivariate Extension of the Exponential Distribution
formulavlm

Model Formulae and Term Names for VGLMs
get.smart

Retrieve One Component of ``.smart.prediction''
felix

Felix Distribution Family Function
get.smart.prediction

Retrieves ``.smart.prediction''
Fisk

The Fisk Distribution
genpoisson0

Generalized Poisson Regression (Original Parameterization)
genpoisson1

Generalized Poisson Regression (GP-1 Parameterization)
Gaitdbinom

Generally Altered, Inflated, Truncated and Deflated Binomial Distribution
frechet

Frechet Distribution Family Function
gaitdzeta

Generally Altered, Inflated, Truncated and Deflated Zeta Regression
Gaitdzeta

Generally Altered, Inflated and Truncated and Deflated Zeta Distribution
genpoisson2

Generalized Poisson Regression (GP-2 Parameterization)
Gaitdlog

Generally Altered, Inflated, Truncated and Deflated Logarithmic Distribution
gumbelUC

The Gumbel Distribution
fittedvlm

Fitted Values of a VLM object
gamma1

1-parameter Gamma Regression Family Function
Gaitdpois

Generally Altered, Inflated, Truncated and Deflated Poisson Distribution
guplot

Gumbel Plot
genrayleigh

Generalized Rayleigh Distribution Family Function
inv.gaussianff

Inverse Gaussian Distribution Family Function
Frechet

The Frechet Distribution
gamma2

2-parameter Gamma Regression Family Function
inv.lomax

Inverse Lomax Distribution Family Function
genray

The Generalized Rayleigh Distribution
gew

General Electric and Westinghouse Data
genbetaII

Generalized Beta Distribution of the Second Kind
leipnik

Leipnik Regression Family Function
GenbetaII

The Generalized Beta II Distribution
Hurea

The Husler-Reiss Angular Surface Distribution
gaitdpoisson

Generally Altered, Inflated, Truncated and Deflated Poisson Regression
gammaR

2-parameter Gamma Regression Family Function
Genpois0

Generalized Poisson Distribution (Original Parameterization)
gammaff.mm

Multivariate Gamma Family Function: Mathai and Moschopoulos (1992)
gordlink

Gamma-Ordinal Link Function
geometric

Geometric (Truncated and Untruncated) Distributions
goffset

GAITD Offset for the GTE Method
gev

Generalized Extreme Value Regression Family Function
Genpois1

Generalized Poisson Distribution (GP-1 and GP-2 Parameterizations of the Mean)
has.interceptvlm

Has a Fitted VGLM Got an Intercept Term?
gompertz

Gompertz Regression Family Function
hatvalues

Hat Values and Regression Deletion Diagnostics
lerch

Lerch Phi Function
Gompertz

Gompertz Distribution
hunua

Hunua Ranges Data
gpd

Generalized Pareto Distribution Regression Family Function
hurea

Husler-Reiss Angular Surface Distribution Family Function
gevUC

The Generalized Extreme Value Distribution
hypersecant

Hyperbolic Secant Regression Family Function
hyperg

Hypergeometric Family Function
gumbelII

Gumbel-II Regression Family Function
Hzeta

Haight's Zeta Distribution
grc

Row-Column Interaction Models including Goodman's RC Association Model and Unconstrained Quadratic Ordination
iam

Index from Array to Matrix
Gumbel-II

The Gumbel-II Distribution
gpdUC

The Generalized Pareto Distribution
kendall.tau

Kendall's Tau Statistic
gumbel

Gumbel Regression Family Function
hormone

Hormone Assay Data
hzeta

Haight's Zeta Family Function
kumar

Kumaraswamy Regression Family Function
hdeff

Hauck-Donner Effects: A Detection Test for Wald Tests
linkfun

Link Functions for VGLMs
hdeffsev

Hauck-Donner Effects: Severity Measures
Kumar

The Kumaraswamy Distribution
lino

Generalized Beta Distribution Family Function
logclink

Complementary-log Link Function
grain.us

Grain Prices Data in USA
huber2

Huber's Least Favourable Distribution Family Function
logff

Logarithmic Distribution
lakeO

Annual catches on Lake Otamangakau from October 1974 to October 1989
laplaceUC

The Laplace Distribution
dhuber

Huber's Least Favourable Distribution
loglinb3

Loglinear Model for Three Binary Responses
identitylink

Identity Link Function
hspider

Hunting Spider Data
Inv.lomax

The Inverse Lomax Distribution
latvar

Latent Variables
inv.paralogistic

Inverse Paralogistic Distribution Family Function
is.smart

Test For a Smart Object
Lino

The Generalized Beta Distribution (Libby and Novick, 1982)
is.zero

Zero Constraint Matrices
lms.yjn

LMS Quantile Regression with a Yeo-Johnson Transformation to Normality
inv.binomial

Inverse Binomial Distribution Family Function
lirat

Low-iron Rat Teratology Data
Inv.paralogistic

The Inverse Paralogistic Distribution
logitoffsetlink

Logit-with-an-Offset Link Function
is.crossing

Quantile Crossing Detection
lambertW

The Lambert W Function
laplace

Laplace Regression Family Function
logLik.vlm

Extract Log-likelihood for VGLMs/VGAMs/etc.
log1mexp

Logarithms with an Unit Offset and Exponential Term
logF

Natural Exponential Family Generalized Hyperbolic Secant Distribution Family Function
loglink

Log Link Function, and Variants
loglapUC

The Log-Laplace Distribution
lqnorm

Minimizing the L-q norm Family Function
is.buggy

Does the Fitted Object Suffer from a Known Bug?
Log

Logarithmic Distribution
lrt.stat

Likelihood Ratio Test Statistics Evaluated at the Null Values
logloglink

Log-log and Log-log-log Link Functions
lgammaUC

The Log-Gamma Distribution
lgamma1

Log-gamma Distribution Family Function
is.parallel

Parallelism Constraint Matrices
dlogF

log F Distribution
ordpoisson

Ordinal Poisson Family Function
ordsup

Ordinal Superiority Measures
leukemia

Acute Myelogenous Leukemia Survival Data
logofflink

Log Link Function with an Offset
lognormal

Lognormal Distribution
lomax

Lomax Distribution Family Function
lrtest

Likelihood Ratio Test of Nested Models
lms.bcg

LMS Quantile Regression with a Box-Cox transformation to a Gamma Distribution
levy

Levy Distribution Family Function
plotdgaitd.vglm

Plotting the GAITD Combo Density from a GAITD Regression Object
plotqrrvglm

Model Diagnostic Plots for QRR-VGLMs
machinists

Machinists Accidents
lvplot

Latent Variable Plot
makeham

Makeham Regression Family Function
loglaplace

Log-Laplace and Logit-Laplace Distribution Family Functions
loglinb2

Loglinear Model for Two Binary Responses
meplot

Mean Excess Plot
Posnorm

The Positive-Normal Distribution
mills.ratio

Mills Ratio
micmen

Michaelis-Menten Model
lms.bcn

LMS Quantile Regression with a Box-Cox Transformation to Normality
posnormal

Positive Normal Distribution Family Function
Makeham

The Makeham Distribution
profilevglm

Method for Profiling vglm Objects
mix2normal

Mixture of Two Univariate Normal Distributions
marital.nz

New Zealand Marital Data
mix2poisson

Mixture of Two Poisson Distributions
margeff

Marginal Effects for Several Categorical Response Models
negbinomial

Negative Binomial Distribution Family Function
propodds

Proportional Odds Model for Ordinal Regression
maxwell

Maxwell Regression Family Function
negbinomial.size

Negative Binomial Distribution Family Function With Known Size
oxtemp

Oxford Temperature Data
paralogistic

Paralogistic Distribution Family Function
rhobitlink

Rhobit Link Function
mix2exp

Mixture of Two Exponential Distributions
Lindley

The Lindley Distribution
nakagami

Nakagami Regression Family Function
model.matrixvlm

Construct the Design Matrix of a VLM Object
Rice

The Rice Distribution
plotvgam

Default VGAM Plotting
moffset

Matrix Offset
plotvgam.control

Control Function for plotvgam()
lindley

1-parameter Gamma Distribution
Maxwell

The Maxwell Distribution
nparam.vlm

Number of Parameters
Nakagami

Nakagami Distribution
poissonff

Poisson Regression
mccullagh89

McCullagh (1989) Distribution Family Function
normal.vcm

Univariate Normal Distribution as a Varying-Coefficient Model
Polono

The Poisson Lognormal Distribution
olympics

2008 and 2012 Summer Olympic Final Medal Count Data
logistic

Logistic Distribution Family Function
rrvglm.control

Control Function for rrvglm()
notdocumentedyet

Undocumented and Internally Used Functions and Classes
perspqrrvglm

Perspective plot for QRR-VGLMs
pospoisson

Positive Poisson Distribution Family Function
multilogitlink

Multi-logit Link Function
rrvglm.optim.control

Control Function for rrvglm() Calling optim()
logitlink

Logit Link Function
sc.studentt2

Scaled Student t Distribution with 2 df Family Function
multinomial

Multinomial Logit Model
pgamma.deriv

Derivatives of the Incomplete Gamma Integral
pordlink

Poisson-Ordinal Link Function
Paralogistic

The Paralogistic Distribution
paretoIV

Pareto(IV/III/II) Distribution Family Functions
plotvglm

Plots for VGLMs
posbernUC

Positive Bernoulli Sequence Model
Expectiles-sc.t2

Expectiles/Quantiles of the Scaled Student t Distribution with 2 Df
Lomax

The Lomax Distribution
Posgeom

Positive-Geometric Distribution
pneumo

Pneumoconiosis in Coalminers Data
poisson.points

Poisson-points-on-a-plane/volume Distances Distribution
lpossums

Leadbeater's Possums
perks

Perks Distribution Family Function
Perks

The Perks Distribution
plotrcim0

Main Effects Plot for a Row-Column Interaction Model (RCIM)
plotqtplot.lmscreg

Quantile Plot for LMS Quantile Regression
PoissonPoints

Poisson Points Distribution
simulate.vlm

Simulate Responses for VGLMs and VGAMs
sinmad

Singh-Maddala Distribution Family Function
posbernoulli.b

Positive Bernoulli Family Function with Behavioural Effects
lvplot.qrrvglm

Latent Variable Plot for QO models
posbernoulli.t

Positive Bernoulli Family Function with Time Effects
lvplot.rrvglm

Latent Variable Plot for RR-VGLMs
powerlink

Power Link Function
predictvglm

Predict Method for a VGLM fit
posnegbinomial

Positive Negative Binomial Distribution Family Function
meangaitd

Mean of the GAITD Combo Density
prinia

Yellow-bellied Prinia
melbmaxtemp

Melbourne Daily Maximum Temperatures
probitlink

Probit Link Function
rec.exp1

Upper Record Values from a 1-parameter Exponential Distribution
prentice74

Prentice (1974) Log-gamma Distribution
rec.normal

Upper Record Values from a Univariate Normal Distribution
prplot

Probability Plots for Categorical Data Analysis
qrrvglm.control

Control Function for QRR-VGLMs (CQO)
qtplot.lmscreg

Quantile Plot for LMS Quantile Regression
model.framevlm

Construct the Model Frame of a VLM Object
rrvglm-class

Class ``rrvglm''
toxop

Toxoplasmosis Data
qvar

Quasi-variances Extraction Function
triangle

Triangle Distribution Family Function
model.matrixqrrvglm

Construct the Model Matrix of a QRR-VGLM Object
rrvglm

Fitting Reduced-Rank Vector Generalized Linear Models (RR-VGLMs)
uninormal

Univariate Normal Distribution
vcovvlm

Calculate Variance-Covariance Matrix for a Fitted VLM or RR-VGLM or QRR-VGLM Object
put.smart

Adds a List to the End of the List ``.smart.prediction''
skewnormal

Univariate Skew-Normal Distribution Family Function
qtplot.gumbel

Quantile Plot for Gumbel Regression
nbcanlink

Negative Binomial Canonical Link Function
slash

Slash Distribution Family Function
riceff

Rice Distribution Family Function
rigff

Reciprocal Inverse Gaussian distribution
rcqo

Constrained Quadratic Ordination
vglm.control

Control Function for vglm()
vglmff-class

Class ``vglmff''
reciprocallink

Reciprocal Link Function
residualsvglm

Residuals for a VGLM fit
seq2binomial

The Two-stage Sequential Binomial Distribution Family Function
wald.stat

Wald Test Statistics Evaluated at the Null Values
rdiric

The Dirichlet distribution
setup.smart

Smart Prediction Setup
studentt

Student t Distribution
waldff

Wald Distribution Family Function
summarypvgam

Summarizing Penalized Vector Generalized Additive Model Fits
topple

Topp-Leone Distribution Family Function
round2

Rounding of Numbers to Base 2
rlplot.gevff

Return Level Plot for GEV Fits
yulesimon

Yule-Simon Family Function
rrar

Nested Reduced-rank Autoregressive Models for Multiple Time Series
Yules

Yule-Simon Distribution
nbordlink

Negative Binomial-Ordinal Link Function
Topple

The Topp-Leone Distribution
Truncpareto

The Truncated Pareto Distribution
Zeta

The Zeta Distribution
ParetoIV

The Pareto(IV/III/II) Distributions
zetaff

Zeta Distribution Family Function
paretoff

Pareto and Truncated Pareto Distribution Family Functions
Zipf

The Zipf Distribution
Zipfmb

The Zipf-Mandelbrot Distribution
rootogram4

Rootograms (S4 generic) for Assessing Goodness of Fit of Probability Models
specials

Special Values or Quantities in a Fitted Object
simplex

Simplex Distribution Family Function
truncweibull

Truncated Weibull Distribution Family Function
vglm-class

Class ``vglm''
pgamma.deriv.unscaled

Derivatives of the Incomplete Gamma Integral (Unscaled Version)
vglm

Fitting Vector Generalized Linear Models
score.stat

Rao's Score Test Statistics Evaluated at the Null Values
Simplex

Simplex Distribution
Sinmad

The Singh-Maddala Distribution
weightsvglm

Prior and Working Weights of a VGLM fit
plotdeplot.lmscreg

Density Plot for LMS Quantile Regression
seglines

Hauck-Donner Effects: Segmented Lines Plot
spikeplot

Spike Plot
summaryvgam

Summarizing Vector Generalized Additive Model Fits
wine

Bitterness in Wine Data
skellam

Skellam Distribution Family Function
posbernoulli.tb

Positive Bernoulli Family Function with Time and Behavioural Effects
Zabinom

Zero-Altered Binomial Distribution
summaryvglm

Summarizing Vector Generalized Linear Model Fits
zabinomial

Zero-Altered Binomial Distribution
sm.ps

Defining Penalized Spline Smooths in VGAM Formulas
Skellam

The Skellam Distribution
skewnorm

Skew-Normal Distribution
smart.expression

S Expression for Smart Functions
venice

Venice Maximum Sea Levels Data
smart.mode.is

Determine What Mode the Smart Prediction is In
vgam-class

Class ``vgam''
smartpred

Smart Prediction
tobit

Tobit Regression
Zibinom

Zero-Inflated Binomial Distribution
posbinomial

Positive Binomial Distribution Family Function
wrapup.smart

Cleans Up After Smart Prediction
Tobit

The Tobit Distribution
Triangle

The Triangle Distribution
trim.constraints

Trimmed Constraint Matrices
trinormal

Trivariate Normal Distribution Family Function
prats

Pregnant Rats Toxological Experiment Data
ucberk

University California Berkeley Graduate Admissions
yeo.johnson

Yeo-Johnson Transformation
zibinomial

Zero-Inflated Binomial Distribution Family Function
Trinorm

Trivariate Normal Distribution Density and Random Variates
weibull.mean

Weibull Distribution Family Function, Parameterized by the Mean
predictqrrvglm

Predict Method for a CQO fit
undocumented-methods

Undocumented Methods Functions
weibullR

Weibull Distribution Family Function
Zageom

Zero-Altered Geometric Distribution
zageometric

Zero-Altered Geometric Distribution
Zapois

Zero-Altered Poisson Distribution
vonmises

von Mises Distribution Family Function
zero

The zero Argument in VGAM Family Functions
vplot.profile

Plotting Functions for 'profile' Objects
zapoisson

Zero-Altered Poisson Distribution
vsmooth.spline

Vector Cubic Smoothing Spline
waitakere

Waitakere Ranges Data
Zanegbin

Zero-Altered Negative Binomial Distribution
rayleigh

Rayleigh Regression Family Function
Zigeom

Zero-Inflated Geometric Distribution
zanegbinomial

Zero-Altered Negative Binomial Distribution
zeta

Riemann's Zeta Function
zipebcom

Exchangeable Bivariate cloglog Odds-ratio Model From a Zero-inflated Poisson Distribution
Rayleigh

Rayleigh Distribution
ruge

Rutherford-Geiger Polonium Data
zigeometric

Zero-Inflated Geometric Distribution Family Function
zipf

Zipf Distribution Family Function
zoabetaR

Zero- and One-Inflated Beta Distribution Family Function
s

Defining Smooths in VGAM Formulas
Zoabeta

The Zero/One-Inflated Beta Distribution
Slash

Slash Distribution
sm.os

Defining O'Sullivan Spline Smooths in VGAM Formulas
sratio

Ordinal Regression with Stopping Ratios
step4

Choose a model by AIC in a Stepwise Algorithm
trplot

Trajectory Plot
trplot.qrrvglm

Trajectory plot for QRR-VGLMs
vgam

Fitting Vector Generalized Additive Models
vgam.control

Control Function for vgam()
Zinegbin

Zero-Inflated Negative Binomial Distribution
zinegbinomial

Zero-Inflated Negative Binomial Distribution Family Function
Zipois

Zero-Inflated Poisson Distribution
zipoisson

Zero-Inflated Poisson Distribution Family Function