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VGAM (version 0.7-9)

Vector Generalized Linear and Additive Models

Description

Vector generalized linear and additive models, and associated models (Reduced-Rank VGLMs, Quadratic RR-VGLMs, Reduced-Rank VGAMs). This package fits many models and distribution by maximum likelihood estimation (MLE) or penalized MLE. Also fits constrained ordination models in ecology.

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Version

Install

install.packages('VGAM')

Monthly Downloads

43,625

Version

0.7-9

License

GPL-2

Maintainer

Thomas Yee

Last Published

June 16th, 2009

Functions in VGAM (0.7-9)

ABO

The ABO Blood Group System
Invparalogistic

The Inverse Paralogistic Distribution
Brat

Inputting Data to fit a Bradley Terry Model
Opt

Maxima
betaII

Beta Distribution of the Second Kind
Coef

Computes Model Coefficients and Quantities
Coef.qrrvglm

Returns Important Matrices etc. of a QO Object
Surv

Create a Survival Object
SurvS4-class

Class "SurvS4"
Rayleigh

The Rayleigh Distribution
Lomax

The Lomax Distribution
CommonVGAMffArguments

Common VGAM family function Arguments
Betageom

The Beta-Geometric Distribution
AA.Aa.aa

The AA-Aa-aa Blood Group System
MNSs

The MNSs Blood Group System
Benford

Benford's Distribution
Betanorm

The Beta-Normal Distribution
beta.ab

The Two-parameter Beta Distribution Family Function
amlbinomial

Binomial Logistic Regression by Asymmetric Maximum Likelihood Estimation
gamma1

1-parameter Gamma Distribution
Binom2.or

Bivariate Binary Regression with an Odds Ratio
AICvlm

Akaike's Information Criterion
betaff

The Two-parameter Beta Distribution Family Function
Coef.vlm

Extract Model Coefficients for VLM Objects
Maxwell

The Maxwell Distribution
cardioid

Cardioid Distribution Family Function
Amh

Ali-Mikhail-Haq Distribution's Bivariate Distribution
cauchy

Cauchy Distribution Family Function
Dagum

The Dagum Distribution
Coef.rrvglm

Returns Important Matrices etc. of a RR-VGLM Object
calibrate.qrrvglm

Calibration for CQO, UQO and CAO models
amlnormal

Asymmetric Least Squares Quantile Regression
chisq

Chi-squared Distribution
betabin.ab

Beta-binomial Distribution Family Function
ParetoIV

The Pareto(IV/III/II) Distributions
Tol

Tolerances
fisk

Fisk Distribution family function
amlpoisson

Poisson Regression by Asymmetric Maximum Likelihood Estimation
betabinomial

Beta-binomial Distribution Family Function
fnormal1

Folded Normal Distribution Family Function
fitted.vlm

Fitted Values of a VLM object
amlexponential

Exponential Regression by Asymmetric Maximum Likelihood Estimation
VGAM-package

Vector Generalized Linear and Additive Models
bisa

Birnbaum-Saunders Distribution Family Function
cao.control

Control Function for RR-VGAMs (CAO)
erlang

Erlang Distribution
calibrate-methods

Calibration for Constrained Regression Models
Card

Cardioid Distribution
hspider

Hunting Spider Data
Fnorm

The Folded-Normal Distribution
betaprime

The Beta-Prime Distribution
AB.Ab.aB.ab2

The AB-Ab-aB-ab2 Blood Group System
ccoef

Extract Model Constrained/Canonical Coefficients
quasibinomialff

Quasi-Binomial Family Function
ccoef-methods

Constrained (Canonical) Coefficients
Invlomax

The Inverse Lomax Distribution
logit

Logit Link Function
Posnorm

The Positive-Normal Distribution
lino

Generalized Beta Distribution Family Function
yip88

Zero-Inflated Poisson Distribution (Yip (1988) algorithm)
alaplaceUC

The Laplace Distribution
enzyme

Enzyme Data
Felix

The Felix Distribution
Sinmad

The Singh-Maddala Distribution
Binom2.rho

Bivariate Probit Model
gew

General Electric and Westinghouse Data
bratt

Bradley Terry Model With Ties
cauchit

Cauchit Link Function
chest

Chest Pain in NZ Adults Data
iam

Index from Array to Matrix
constraints

Constraint Matrices
Betabin

The Beta-Binomial Distribution
cnormal1

Censored Normal Distribution
benini

Benini Distribution Family Function
fill

Creates a Matrix of Appropriate Dimension
AB.Ab.aB.ab

The AB-Ab-aB-ab Blood Group System
expexp1

Exponentiated Exponential Distribution
cratio

Ordinal Regression with Continuation Ratios
cgumbel

Censored Gumbel Distribution
hypersecant

Hyperbolic Secant Distribution Family Function
lms.bcg

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

Gumbel Plot
lerch

Lerch Phi Function
Coef.rrvglm-class

Class ``Coef.rrvglm''
gamma2

2-parameter Gamma Distribution
acat

Ordinal Regression with Adjacent Categories Probabilities
G1G2G3

The G1G2G3 Blood Group System
Paralogistic

The Paralogistic Distribution
bminz

Body Mass Index of New Zealand Adults Data
DeLury

DeLury's Method for Population Size Estimation
laplace

Laplace Distribution
clo

Redirects the user to rrvglm
Max

Maxima
auuc

Auckland University Undergraduate Counts Data
Links

Link functions for VGLM/VGAM/etc. families
Pareto

The Pareto Distribution
alaplace

Asymmetric Laplace Distribution Family Functions
Inv.gaussian

The Inverse Gaussian Distribution
Coef.qrrvglm-class

Class ``Coef.qrrvglm''
lvplot.rrvglm

Latent Variable Plot for RR-VGLMs
dirichlet

Fitting a Dirichlet Distribution
loglinb2

Loglinear Model for Two Binary Responses
loglapUC

The Log-Laplace Distribution
biplot-methods

Biplot of Constrained Regression Models
persp.qrrvglm

Perspective plot for QRR-VGLMs
cao

Fitting Constrained Additive Ordination (CAO)
frank

Frank's Bivariate Distribution Family Function
plackett

Plackett's Bivariate Distribution Family Function
ggamma

Generalized Gamma distribution family function
lognormal

Lognormal Distribution
cgo

Redirects the user to cqo
gumbel

Gumbel Distribution Family Function
borel.tanner

Borel-Tanner Distribution Family Function
gevUC

The Generalized Extreme Value Distribution
plotvgam.control

Control Function for plotvgam()
gev

Generalized Extreme Value Distribution Family Function
margeff

Marginal effects for the multinomial logit and cumulative models
model.framevlm

Construct the Model Frame of a VLM Object
loglinb3

Loglinear Model for Three Binary Responses
dexpbinomial

Double Exponential Binomial Distribution Family Function
pareto1

Pareto and Truncated Pareto Distribution Family Functions
dirmultinomial

Fitting a Dirichlet-Multinomial Distribution
cdf.lmscreg

Cumulative Distribution Function for LMS Quantile Regression
genbetaII

Generalized Beta Distribution of the Second Kind
Polono

The Poisson Lognormal Distribution
rrvglm.control

Control function for rrvglm
model.matrixvlm

Construct the Design Matrix of a VLM Object
prentice74

Prentice (1974) Log-gamma Distribution
dirmul.old

Fitting a Dirichlet-Multinomial Distribution
mckaygamma2

McKay's Bivariate Gamma Distribution
dcnormal1

Univariate Normal Distribution with Double Censoring
mix2normal1

Mixture of Two Univariate Normal Distributions
loge

Log link function
expexp

Exponentiated Exponential Distribution
fisherz

Fisher's Z Link Function
exponential

Exponential Distribution
levy

Levy Distribution Family Function
hyperg

Hypergeometric Family Function
is.smart

Test For a Smart Object
rdiric

The Dirichlet distribution
Kumar

The Kumaraswamy Distribution
garma

GARMA (Generalized Autoregressive Moving-Average) Models
Bort

The Borel-Tanner Distribution
slash

Slash Distribution Family Function
plotdeplot.lmscreg

Density Plot for LMS Quantile Regression
fgm

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

Rutherford-Geiger Polonium Data
lvplot.qrrvglm

Latent Variable Plot for QO models
lms.yjn

LMS Quantile Regression with a Yeo-Johnson Transformation to Normality
Tikuv

A Short-tailed Symmetric Distribution
normal1

Univariate normal distribution
geometric

Geometric Distribution
reciprocal

Reciprocal link function
fsqrt

Folded Square Root Link Function
posnegbinomial

Positive Negative Binomial Distribution Family Function
gpdUC

The Generalized Pareto Distribution
Frechet

The Frechet Distribution
hzeta

Haight's Zeta Family Function
loglaplace

Log-Laplace and Logit-Laplace Distribution Family Functions
coalminers

Breathlessness and Wheeze Amongst Coalminers Data
recexp1

Upper Record Values from a 1-parameter Exponential Distribution
mix2poisson

Mixture of Two Poisson Distributions
cloglog

Complementary Log-log Link Function
freund61

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

F Distribution Family Function
deplot.lmscreg

Density Plot for LMS Quantile Regression
rlplot.egev

Return Level Plot for GEV Fits
get.smart.prediction

Retrieves ``.smart.prediction''
morgenstern

Morgenstern's Bivariate Distribution Family Function
inv.gaussianff

Inverse Gaussian Distribution Family Function
golf

Gamma-Ordinal Link Function
oxtemp

Oxford Temperature Data
rhobit

Rhobit Link Function
nakagami

Nakagami Distribution Family Function
lms.bcn

LMS Quantile Regression with a Box-Cox Transformation to Normality
mccullagh89

McCullagh (1989) Distribution Family Function
lqnorm

Minimizing the L-q norm Family Function
olympic

2008 Summer Olympic Final Medal Count Data
plotvgam

Default VGAM Plotting
nbolf

Negative Binomial-Ordinal Link Function
gamma2.ab

2-parameter Gamma Distribution
zipoisson

Zero-Inflated Poisson Distribution Family Function
Posbinom

Positive-Binomial Distribution
hunua

Hunua Ranges Data
usagrain

USA Grain Prices Data
vgam.control

Control function for vgam
toxop

Toxoplasmosis Data
weightsvglm

Prior and Working Weights of a VGLM fit
plotqrrvglm

Model Diagnostic Plots for QRR-VGLMs
seq2binomial

The Two-stage Sequential Binomial Distribution Family Function
cumulative

Ordinal Regression with Cumulative Probabilities
get.smart

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

Undocumented and Internally Used Functions and Classes
lirat

Low-iron Rat Teratology Data
logistic

Logistic Distribution Family Function
invbinomial

Inverse Binomial Distribution Family Function
meplot

Mean Excess Plot
quasipoissonff

Quasi-Poisson Family Function
pneumo

Pneumoconiosis in Coalminers Data
Pospois

Positive-Poisson Distribution
Rice

The Rice Distribution
wffc.teams

2008 World Fly Fishing Championships (Team results) Data
Triangle

The Triangle Distribution
predict.vglm

Predict Method for a VGLM fit
mix2exp

Mixture of Two Exponential Distributions
pospoisson

Positive Poisson Distribution Family Function
multinomial

Multinomial Logit Model
lgammaff

Log-gamma Distribution Family Function
smartpred

Smart Prediction
poissonp

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

Student t Distribution
Skellam

The Skellam Distribution
zinegbinomial

Zero-Inflated Negative Binomial Distribution Family Function
lv

Latent Variables
recnormal1

Upper Record Values from a Univariate Normal Distribution
Posnegbin

Positive-Negative Binomial Distribution
ggammaUC

The Generalized Gamma Distribution
rcqo

Constrained Quadratic Ordination
Log

Logarithmic Distribution
logoff

Log link function with an offset
calibrate

Model Calibrations
zipf

Zipf Distribution Family Function
gammahyp

Gamma Hyperbola Bivariate Distribution
uqo

Fitting Unconstrained Quadratic Ordination (UQO)
poissonff

Poisson Family Function
Yules

Yule-Simon Distribution
skewnormal1

Univariate Skew-Normal Distribution Family Function
rig

Reciprocal Inverse Gaussian distribution
gpd

Generalized Pareto Distribution Family Function
grc

Fitting Goodman's RC Association Model
venice

Venice Maximum Sea Levels Data
tobit

Tobit Model
setup.smart

Smart Prediction Setup
undocumented-methods

Undocumented Methods Functions
rrvglm-class

Class ``rrvglm''
vglm

Fitting Vector Generalized Linear Models
Zanegbin

Zero-Altered Negative Binomial Distribution
vgam-class

Class ``vgam''
laplaceUC

The Laplace Distribution
vgam

Fitting Vector Generalized Additive Models
wrapup.smart

Cleans Up After Smart Prediction
rrar

Nested reduced-rank autoregressive models for multiple time series
vsmooth.spline

Vector cubic smoothing spline
qtplot.gumbel

Quantile Plot for Gumbel Regression
Zipois

Zero-Inflated Poisson Distribution
genpoisson

Generalized Poisson distribution
qtplot.lmscreg

Quantile Plot for LMS Quantile Regression
mbinomial

The Matched Binomial Distribution Family Function
wffc.nc

2008 World Fly Fishing Championships (Number of captures) Data
gaussianff

Gaussian (normal) Family Function
simplex

Simplex distribution
Zibinom

Zero-Inflated Binomial Distribution
posbinomial

Positive Binomial Distribution Family Function
wffc.indiv

2008 World Fly Fishing Championships (Individual results) Data
logc

Complementary-log Link Function
snorm

Skew-Normal Distribution
nzc

Chinese Population in New Zealand 1867--2001 Data
zanegbinomial

Zero-Altered Negative Binomial Distribution
zero

The zero Argument in VGAM Family Functions
leipnik

Leipnik Distribution Family Function
lvplot

Latent Variable Plot
weibull

Weibull Distribution Family Function
zetaff

Zeta Distribution Family Function
rrvglm.optim.control

Control function for rrvglm() calling optim()
yeo.johnson

Yeo-Johnson Transformation
wffc.points

Point System for the 2008 World Fly Fishing Championships
polf

Poisson-Ordinal Link Function
zapoisson

Zero-Altered Poisson Distribution
bilogistic4

Bivariate Logistic Distribution Family Function
plotqtplot.lmscreg

Quantile Plot for LMS Quantile Regression
zibinomial

Zero-Inflated Binomial Distribution Family Function
trplot

Trajectory Plot
uqo.control

Control Function for UQO models
Tpareto

The Truncated Pareto Distribution
gumbelIbiv

Gumbel's Type I Bivariate Distribution Family Function
yulesimon

Yule-Simon Family Function
wffc

2008 World Fly Fishing Championships Data
waitakere

Waitakere Ranges Data
cenpoisson

Censored Poisson Family Function
sratio

Ordinal Regression with Stopping Ratios
ordpoisson

Ordinal Poisson Family Function
vglm.control

Control function for vglm
predict.qrrvglm

Predict Method for a CQO fit
vglmff-class

Class ``vglmff''
rrvglm

Fitting Reduced-Rank Vector Generalized Linear Models (RR-VGLMs)
smart.expression

S Expression for Smart Functions
leukemia

Acute Myelogenous Leukemia Survival Data
erf

Error Function
s

Defining smooths in VGAM formulae
Zinegbin

Zero-Inflated Negative Binomial Distribution
lgammaUC

The Log-Gamma Distribution
trplot.qrrvglm

Trajectory plot for QRR-VGLMs
zeta

Riemann's Zeta Function
zipebcom

Exchangeable bivariate cloglog odds-ratio model from a zero-inflated Poisson distribution
vonmises

von Mises Distribution Family Function
Zapois

Zero-Altered Poisson Distribution
micmen

Michaelis-Menten Model
betageometric

Beta-geometric Distribution Family Function
posnormal1

Positive Normal Distribution Family Function
identity

Identity Link Function
logff

Logarithmic Distribution
loglog

Log-log Link Function
negbinomial

Negative Binomial Distribution Family Function
probit

Probit Link Function
put.smart

Adds a List to the End of the List ``.smart.prediction''
vglm-class

Class ``vglm''
bilogis4

Bivariate Logistic Distribution
calibrate.qrrvglm.control

Control function for CQO/UQO/CAO calibration
cqo

Fitting Constrained Quadratic Ordination (CQO)
gumbelUC

The Gumbel Distribution
powl

Power Link Function
qrrvglm.control

Control function for QRR-VGLMs (CQO)
riceff

Rice Distribution Family Function
smart.mode.is

Determine What Mode the Smart Prediction is In
wald

Wald Distribution Family Function
binomialff

Binomial Family Function