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VGAM (version 0.8-1)

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

42,087

Version

0.8-1

License

GPL-2

Maintainer

Last Published

June 22nd, 2010

Functions in VGAM (0.8-1)

Dagum

The Dagum Distribution
G1G2G3

The G1G2G3 Blood Group System
AB.Ab.aB.ab

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

Poisson Regression by Asymmetric Maximum Likelihood Estimation
AB.Ab.aB.ab2

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

The Lomax Distribution
Pareto

The Pareto Distribution
Coef.vlm

Extract Model Coefficients for VLM Objects
Coef.qrrvglm

Returns Important Matrices etc. of a QO Object
bilogis4

Bivariate Logistic Distribution
alaplace

Asymmetric Laplace Distribution Family Functions
AA.Aa.aa

The AA-Aa-aa Blood Group System
DeLury

DeLury's Method for Population Size Estimation
bilogistic4

Bivariate Logistic Distribution Family Function
Coef.rrvglm-class

Class ``Coef.rrvglm''
Coef.rrvglm

Returns Important Matrices etc. of a RR-VGLM Object
binom2.rho

Bivariate Probit Model (Family Function)
fnormal1

Folded Normal Distribution Family Function
Fisk

The Fisk Distribution
bivgamma.mckay

Bivariate Gamma: McKay's Distribution
Brat

Inputting Data to fit a Bradley Terry Model
cdf.lmscreg

Cumulative Distribution Function for LMS Quantile Regression
CommonVGAMffArguments

Common VGAM family function Arguments
auuc

Auckland University Undergraduate Counts Data
exponential

Exponential Distribution
beta.ab

The Two-parameter Beta Distribution Family Function
chisq

Chi-squared Distribution
Betanorm

The Beta-Normal Distribution
Paralogistic

The Paralogistic Distribution
Bort

The Borel-Tanner Distribution
calibrate.qrrvglm.control

Control function for CQO/UQO/CAO calibration
Bisa

The Birnbaum-Saunders Distribution
Links

Link functions for VGLM/VGAM/etc. families
identity

Identity Link Function
erlang

Erlang Distribution
Coef

Computes Model Coefficients and Quantities
dcnormal1

Univariate Normal Distribution with Double Censoring
dirmul.old

Fitting a Dirichlet-Multinomial Distribution
amlbinomial

Binomial Logistic Regression by Asymmetric Maximum Likelihood Estimation
ABO

The ABO Blood Group System
cratio

Ordinal Regression with Continuation Ratios
bminz

Body Mass Index of New Zealand Adults Data
Coef.qrrvglm-class

Class ``Coef.qrrvglm''
Fgm

Farlie-Gumbel-Morgenstern's Bivariate Distribution
dirichlet

Fitting a Dirichlet Distribution
ccoef

Extract Model Constrained/Canonical Coefficients
fisherz

Fisher's Z Link Function
cenpoisson

Censored Poisson Family Function
Benini

The Benini Distribution
cao.control

Control Function for RR-VGAMs (CAO)
amlexponential

Exponential Regression by Asymmetric Maximum Likelihood Estimation
golf

Gamma-Ordinal Link Function
betaII

Beta Distribution of the Second Kind
gammahyp

Gamma Hyperbola Bivariate Distribution
Benford

Benford's Distribution
Max

Maxima
dirmultinomial

Fitting a Dirichlet-Multinomial Distribution
ParetoIV

The Pareto(IV/III/II) Distributions
Binom2.or

Bivariate Binary Regression with an Odds Ratio
Betabin

The Beta-Binomial Distribution
wffc

2008 World Fly Fishing Championships Data
MNSs

The MNSs Blood Group System
cgumbel

Censored Gumbel Distribution
Amh

Ali-Mikhail-Haq Distribution's Bivariate Distribution
gengamma

Generalized Gamma distribution family function
betabinomial

Beta-binomial Distribution Family Function
cumulative

Ordinal Regression with Cumulative Probabilities
calibrate.qrrvglm

Calibration for CQO, UQO and CAO models
SurvS4

Create a Survival Object
gamma2

2-parameter Gamma Distribution
constraints

Constraint Matrices
fff

F Distribution Family Function
acat

Ordinal Regression with Adjacent Categories Probabilities
hyperg

Hypergeometric Family Function
SurvS4-class

Class "SurvS4"
Invlomax

The Inverse Lomax Distribution
laplace

Laplace Distribution
calibrate

Model Calibrations
lms.bcn

LMS Quantile/Expectile Regression with a Box-Cox Transformation to Normality
ruge

Rutherford-Geiger Polonium Data
Sinmad

The Singh-Maddala Distribution
Opt

Maxima
cqo

Fitting Constrained Quadratic Ordination (CQO)
AICvlm

Akaike's Information Criterion
binomialff

Binomial Family Function
Rayleigh

The Rayleigh Distribution
Polono

The Poisson Lognormal Distribution
alaplaceUC

The Laplace Distribution
mix2exp

Mixture of Two Exponential Distributions
VGAM-package

Vector Generalized Linear and Additive Models
Invparalogistic

The Inverse Paralogistic Distribution
Inv.gaussian

The Inverse Gaussian Distribution
biplot-methods

Biplot of Constrained Regression Models
nzmarital

New Zealand Marital Data.
betaff

The Two-parameter Beta Distribution Family Function
grc

Fitting Goodman's RC Association Model
Tol

Tolerances
backPain

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

The Beta-Prime Distribution
cauchit

Cauchit Link Function
frechet

Frechet Distribution Family Function
ccoef-methods

Constrained (Canonical) Coefficients
bratt

Bradley Terry Model With Ties
lgammaUC

The Log-Gamma Distribution
expexp1

Exponentiated Exponential Distribution
lino

Generalized Beta Distribution Family Function
logit

Logit Link Function
cgo

Redirects the user to cqo
Expectiles-Normal

Expectiles of the Normal Distribution
gaussianff

Gaussian (normal) Family Function
gumbelUC

The Gumbel Distribution
Fnorm

The Folded-Normal Distribution
cardioid

Cardioid Distribution Family Function
fitted.vlm

Fitted Values of a VLM object
gengammaUC

The Generalized Gamma Distribution
lms.bcg

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

Cauchy Distribution Family Function
plotdeplot.lmscreg

Density Plot for LMS Quantile Regression
genbetaII

Generalized Beta Distribution of the Second Kind
lirat

Low-iron Rat Teratology Data
hypersecant

Hyperbolic Secant Distribution Family Function
lvplot

Latent Variable Plot
gamma1

1-parameter Gamma Distribution
cao

Fitting Constrained Additive Ordination (CAO)
loglinb3

Loglinear Model for Three Binary Responses
laplaceUC

The Laplace Distribution
dexpbinomial

Double Exponential Binomial Distribution Family Function
loglaplace

Log-Laplace and Logit-Laplace Distribution Family Functions
mccullagh89

McCullagh (1989) Distribution Family Function
betageometric

Beta-geometric Distribution Family Function
rig

Reciprocal Inverse Gaussian distribution
nakagami

Nakagami Distribution Family Function
loglinb2

Loglinear Model for Two Binary Responses
logc

Complementary-log Link Function
riceff

Rice Distribution Family Function
Card

Cardioid Distribution
Hzeta

Haight's Zeta Function
gumbel

Gumbel Distribution Family Function
persp.qrrvglm

Perspective plot for QRR-VGLMs
micmen

Michaelis-Menten Model
geometric

Geometric Distribution
ordpoisson

Ordinal Poisson Family Function
loglapUC

The Log-Laplace Distribution
polf

Poisson-Ordinal Link Function
logoff

Log link function with an offset
deplot.lmscreg

Density Plot for LMS Quantile Regression
get.smart.prediction

Retrieves ``.smart.prediction''
pareto1

Pareto and Truncated Pareto Distribution Family Functions
plackett

Plackett's Bivariate Distribution Family Function
hspider

Hunting Spider Data
mix2normal1

Mixture of Two Univariate Normal Distributions
rrvglm.control

Control function for rrvglm
mbinomial

The Matched Binomial Distribution Family Function
invbinomial

Inverse Binomial Distribution Family Function
gamma2.ab

2-parameter Gamma Distribution
toxop

Toxoplasmosis Data
Posnegbin

Positive-Negative Binomial Distribution
cloglog

Complementary Log-log Link Function
tikuv

Short-tailed Symmetric Distribution Family Function
expexp

Exponentiated Exponential Distribution
weightsvglm

Prior and Working Weights of a VGLM fit
model.matrixvlm

Construct the Design Matrix of a VLM Object
inv.gaussianff

Inverse Gaussian Distribution Family Function
plotqrrvglm

Model Diagnostic Plots for QRR-VGLMs
usagrain

USA Grain Prices Data
Expectiles-Exponential

Expectiles of the Exponential Distribution
gpdUC

The Generalized Pareto Distribution
logff

Logarithmic Distribution
nbolf

Negative Binomial-Ordinal Link Function
rrvglm.optim.control

Control function for rrvglm() calling optim()
maxwell

Maxwell Distribution Family Function
guplot

Gumbel Plot
coalminers

Breathlessness and Wheeze Amongst Coalminers Data
borel.tanner

Borel-Tanner Distribution Family Function
Expectiles-Uniform

Expectiles of the Uniform Distribution
s

Defining smooths in VGAM formulae
lqnorm

Minimizing the L-q norm Family Function
clo

Redirects the user to rrvglm
cnormal1

Censored Normal Distribution
lognormal

Lognormal Distribution
gevUC

The Generalized Extreme Value Distribution
genpoisson

Generalized Poisson distribution
pneumo

Pneumoconiosis in Coalminers Data
zipoisson

Zero-Inflated Poisson Distribution Family Function
gew

General Electric and Westinghouse Data
powl

Power Link Function
Zibinom

Zero-Inflated Binomial Distribution
Frank

Frank's Bivariate Distribution
gev

Generalized Extreme Value Distribution Family Function
fill

Creates a Matrix of Appropriate Dimension
loge

Log link function
freund61

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

Poisson Family Function
morgenstern

Morgenstern's Bivariate Distribution Family Function
garma

GARMA (Generalized Autoregressive Moving-Average) Models
posnegbinomial

Positive Negative Binomial Distribution Family Function
iam

Index from Array to Matrix
hunua

Hunua Ranges Data
nzc

Chinese Population in New Zealand 1867--2001 Data
mix2poisson

Mixture of Two Poisson Distributions
trplot

Trajectory Plot
gumbelIbiv

Gumbel's Type I Bivariate Distribution Family Function
zeta

Riemann's Zeta Function
zero

The zero Argument in VGAM Family Functions
rlplot.egev

Return Level Plot for GEV Fits
qtplot.gumbel

Quantile Plot for Gumbel Regression
kumar

Kumaraswamy Distribution Family Function
is.smart

Test For a Smart Object
probit

Probit Link Function
simplex

Simplex Distribution Family Function
uqo.control

Control Function for UQO models
meplot

Mean Excess Plot
trplot.qrrvglm

Trajectory plot for QRR-VGLMs
quasipoissonff

Quasi-Poisson Family Function
venice

Venice Maximum Sea Levels Data
vonmises

von Mises Distribution Family Function
wffc.indiv

2008 World Fly Fishing Championships (Individual results) Data
olympic

2008 Summer Olympic Final Medal Count Data
recexp1

Upper Record Values from a 1-parameter Exponential Distribution
notdocumentedyet

Undocumented and Internally Used Functions and Classes
smart.mode.is

Determine What Mode the Smart Prediction is In
lerch

Lerch Phi Function
lgammaff

Log-gamma Distribution Family Function
skellam

Skellam Distribution Family Function
Zapois

Zero-Altered Poisson Distribution
oxtemp

Oxford Temperature Data
leukemia

Acute Myelogenous Leukemia Survival Data
negbinomial

Negative Binomial Distribution Family Function
triangle

Triangle Distribution Family Function
rrvglm

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

Weibull Distribution Family Function
plotvgam

Default VGAM Plotting
zetaff

Zeta Distribution Family Function
zibinomial

Zero-Inflated Binomial Distribution Family Function
rdiric

The Dirichlet distribution
propodds

Proportional Odds Model for Ordinal Regression
waitakere

Waitakere Ranges Data
vsmooth.spline

Vector cubic smoothing spline
leipnik

Leipnik Distribution Family Function
prplot

Probability Plots for Categorical Data Analysis
multinomial

Multinomial Logit Model
yeo.johnson

Yeo-Johnson Transformation
Zanegbin

Zero-Altered Negative Binomial Distribution
loglog

Log-log Link Function
studentt

Student t Distribution
normal1

Univariate normal distribution
rhobit

Rhobit Link Function
Log

Logarithmic Distribution
posbinomial

Positive Binomial Distribution Family Function
qrrvglm.control

Control function for QRR-VGLMs (CQO)
poissonp

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

The Truncated Pareto Distribution
Posnorm

The Positive-Normal Distribution
rcqo

Constrained Quadratic Ordination
lvplot.qrrvglm

Latent Variable Plot for QO models
slash

Slash Distribution Family Function
undocumented-methods

Undocumented Methods Functions
wffc.teams

2008 World Fly Fishing Championships (Team results) Data
model.framevlm

Construct the Model Frame of a VLM Object
Rice

The Rice Distribution
put.smart

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

Zero-Altered Poisson Distribution
prentice74

Prentice (1974) Log-gamma Distribution
vgam

Fitting Vector Generalized Additive Models
uqo

Fitting Unconstrained Quadratic Ordination (UQO)
posnormal1

Positive Normal Distribution Family Function
predict.qrrvglm

Predict Method for a CQO fit
pospoisson

Positive Poisson Distribution Family Function
Zipf

The Zipf Distribution
Pospois

Positive-Poisson Distribution
quasibinomialff

Quasi-Binomial Family Function
tobit

Tobit Model
Zipois

Zero-Inflated Poisson Distribution
vglm.control

Control function for vglm
vgam-class

Class ``vgam''
vglmff-class

Class ``vglmff''
qtplot.lmscreg

Quantile Plot for LMS Quantile Regression
seq2binomial

The Two-stage Sequential Binomial Distribution Family Function
skewnormal1

Univariate Skew-Normal Distribution Family Function
zanegbinomial

Zero-Altered Negative Binomial Distribution
reciprocal

Reciprocal link function
vgam.control

Control function for vgam
smartpred

Smart Prediction
snorm

Skew-Normal Distribution
wrapup.smart

Cleans Up After Smart Prediction
vglm

Fitting Vector Generalized Linear Models
Yules

Yule-Simon Distribution
wffc.points

Point System for the 2008 World Fly Fishing Championships
recnormal1

Upper Record Values from a Univariate Normal Distribution
zipebcom

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

Zero-Inflated Negative Binomial Distribution Family Function
sratio

Ordinal Regression with Stopping Ratios
yip88

Zero-Inflated Poisson Distribution (Yip (1988) algorithm)
vglm-class

Class ``vglm''
Zinegbin

Zero-Inflated Negative Binomial Distribution
wald

Wald Distribution Family Function
yulesimon

Yule-Simon Family Function
plotvgam.control

Control Function for plotvgam()
Betageom

The Beta-Geometric Distribution
amlnormal

Asymmetric Least Squares Quantile Regression
calibrate-methods

Calibration for Constrained Regression Models
fsqrt

Folded Square Root Link Function
gpd

Generalized Pareto Distribution Family Function
get.smart

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

Levy Distribution Family Function
lms.yjn

LMS Quantile Regression with a Yeo-Johnson Transformation to Normality
lvplot.rrvglm

Latent Variable Plot for RR-VGLMs
lv

Latent Variables
plotqtplot.lmscreg

Quantile Plot for LMS Quantile Regression
predict.vglm

Predict Method for a VGLM fit
Posbinom

Positive-Binomial Distribution
rrvglm-class

Class ``rrvglm''
wffc.nc

2008 World Fly Fishing Championships (Number of captures) Data
betabin.ab

Beta-binomial Distribution Family Function
chestnz

Chest Pain in NZ Adults Data
enzyme

Enzyme Data
erf

Error Function
Felix

The Felix Distribution
logistic

Logistic Distribution Family Function
margeff

Marginal effects for the multinomial logit and cumulative models
rrar

Nested reduced-rank autoregressive models for multiple time series
setup.smart

Smart Prediction Setup
smart.expression

S Expression for Smart Functions