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VGAM (version 0.7-3)

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

0.7-3

License

GPL version 2

Maintainer

Thomas Yee

Last Published

February 12th, 2025

Functions in VGAM (0.7-3)

The Inverse Gaussian Distribution

The Lomax Distribution

Control Function for RR-VGAMs (CAO)

The Pareto(IV/III/II) Distributions

The MNSs Blood Group System

The Benini Distribution

Bradley Terry Model

The AA-Aa-aa Blood Group System

The Rayleigh Distribution

get.smart.prediction

Retrieves ``.smart.prediction''

Fisk Distribution family function

1-parameter Gamma Distribution

Exponentiated Exponential Distribution

Exponential Distribution

F Distribution Family Function

Log link function with an offset

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

Computes Model Coefficients and Quantities

The Dagum Distribution

Coef.rrvglm-class

Class ``Coef.rrvglm''

The AB-Ab-aB-ab2 Blood Group System

Nested reduced-rank autoregressive models for multiple time series

Trajectory Plot

Zero-Inflated Poisson Distribution Family Function

Ordinal Regression with Adjacent Categories Probabilities

Bivariate Logistic Distribution

Invparalogistic

The Inverse Paralogistic Distribution

The Maxwell Distribution

Beta-geometric Distribution Family Function

The Poisson Lognormal Distribution

Univariate Skew-Normal Distribution Family Function

Zeta Distribution Family Function

Returns Important Matrices etc. of a QO Object

The ABO Blood Group System

The AB-Ab-aB-ab Blood Group System

Bradley Terry Model With Ties

The Pareto Distribution

The Singh-Maddala Distribution

calibrate.qrrvglm

Calibration for CQO, UQO and CAO models

Beta-binomial Distribution Family Function

Biplot of Constrained Regression Models

Beta-binomial Distribution Family Function

Coef.qrrvglm-class

Class ``Coef.qrrvglm''

The Inverse Lomax Distribution

Bivariate Logistic Distribution Family Function

Ordinal Regression with Cumulative Probabilities

Constrained (Canonical) Coefficients

Beta Distribution of the Second Kind

Redirects the user to cqo

The Beta-Geometric Distribution

Link functions for VGLM/VGAM/etc. families

Bivariate Probit Model

The G1G2G3 Blood Group System

Model Calibrations

Fitting a Dirichlet-Multinomial Distribution

Extract Model Constrained/Canonical Coefficients

Binomial Family Function

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

The Birnbaum-Saunders Distribution

The Paralogistic Distribution

Returns Important Matrices etc. of a RR-VGLM Object

Bivariate Logistic Regression

Chi-squared Distribution

The Beta-Prime Distribution

The Two-parameter Beta Distribution Family Function

Chest Pain in NZ Adults

calibrate-methods

Calibration for Constrained Regression Models

Cumulative Distribution Function for LMS Quantile Regression

Extract Model Coefficients for VLM Objects

Constraint Matrices

The Beta-Normal Distribution

Cauchy Distribution Family Function

Fitting Constrained Additive Ordination (CAO)

Redirects the user to rrvglm

Censored Normal Distribution

Body Mass Index of New Zealand Adults

The Beta-Binomial Distribution

Generalized Gamma distribution family function

Frechet Distribution Family Function

Haight's Zeta Family Function

Ordinal Regression with Continuation Ratios

Fitted Values of a VLM object

Fitting Constrained Quadratic Ordination (CQO)

Hunting Spider Data

Gaussian (normal) Family Function

Folded Square Root Link Function

Farlie-Gumbel-Morgenstern's Bivariate Distribution Family Function

Breathlessness and Wheeze Amongst Coalminers

Exponentiated Exponential Distribution

Gamma Hyperbola Bivariate Distribution

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

The Laplace Distribution

Censored Exponential Distribution

Lognormal Distribution

The Generalized Extreme Value Distribution

Generalized Beta Distribution Family Function

Mean Excess Plot

Michaelis-Menten Model

GARMA (Generalized Autoregressive Moving-Average) Models

Gamma-Ordinal Link Function

Generalized Pareto Distribution Family Function

Test For a Smart Object

Inverse Gaussian Distribution Family Function

Density Plot for LMS Quantile Regression

Complementary Log-log Link Function

Univariate Normal Distribution with Double Censoring

Fitting a Dirichlet Distribution

Erlang Distribution

model.matrixvlm

Construct the Design Matrix of a VLM Object

Creates a Matrix of Appropriate Dimension

2-parameter Gamma Distribution

Frank's Bivariate Distribution

Nakagami Distribution Family Function

Fisher's Z Link Function

Mixture of Two Poisson Distributions

Logit Link Function

Lerch Phi Function

Generalized Poisson distribution

Hyperbolic Secant Distribution Family Function

Construct the Model Frame of a VLM Object

Default VGAM Plotting

2-parameter Gamma Distribution

Negative Binomial-Ordinal Link Function

The Log-Gamma Distribution

General Electric and Westinghouse Data

Univariate normal distribution

notdocumentedyet

Undocumented and Internally Used Functions and Classes

LMS Quantile Regression with a Box-Cox Transformation to Normality

Hypergeometric Family Function

Identity Link Function

Morgenstern's Bivariate Distribution Family Function

Ordinal Poisson Family Function

Log-gamma Distribution Family Function

Positive-negative binomial distribution random variates

Generalized Extreme Value Distribution Family Function

Leipnik Distribution Family Function

Mixture of Two Univariate Normal Distributions

Gumbel Distribution Family Function

Generalized Beta Distribution of the Second Kind

plotvgam.control

Control Function for plotvgam()

Low-iron Rat Teratology Data

Loglinear Model for Three Binary Responses

Latent Variable Plot for RR-VGLMs

Complementary-log Link Function

Logistic Distribution Family Function

Log link function

Index from Array to Matrix

Fitting Vector Generalized Linear Models

Positive Negative Binomial Distribution Family Function

Fitting Goodman's RC Association Model

Multinomial Logit Model

Geometric Distribution

von Mises Distribution Family Function

Skew-Normal Distribution

Negative Binomial Distribution Family Function

Logarithmic Distribution

LMS Quantile Regression with a Yeo-Johnson Transformation to Normality

Perspective plot for QRR-VGLMs

Levy Distribution Family Function

plotdeplot.lmscreg

Density Plot for LMS Quantile Regression

The zero Argument in VGAM Family Functions

Pareto and Truncated Pareto Distribution Family Functions

Positive Poisson Distribution Family Function

Logarithmic Distribution

Quantile Plot for LMS Quantile Regression

Class ``rrvglm''

Positive-Binomial Distribution

Trajectory plot for QRR-VGLMs

Zipf Distribution Family Function

Student t Distribution

Quantile Plot for Gumbel Regression

Upper Record Values from a Univariate Normal Distribution

Control function for vglm

Zero-Altered Negative Binomial Distribution

Chinese Population in New Zealand 1867--2001

Model Diagnostic Plots for QRR-VGLMs

Log-log Link Function

Control Function for UQO models

Poisson-Ordinal Link Function

McKay's Bivariate Gamma Distribution

smart.expression

S Expression for Smart Functions

Latent Variable Plot for QO models

A Short-tailed Symmetric Distribution

Class ``vglmff''

Poisson Family Function

qrrvglm.control

Control function for QRR-VGLMs (CQO)

Upper Record Values from a 1-parameter Exponential Distribution

Power Link Function

Quasi-Poisson Family Function

Smart Prediction

Positive Binomial Distribution Family Function

Oxford Temperature Data

plotqtplot.lmscreg

Quantile Plot for LMS Quantile Regression

Ordinal Regression with Stopping Ratios

Prentice (1974) Log-gamma Distribution

Zero-Altered Poisson Distribution

Positive Normal Distribution Family Function

Reciprocal link function

quasibinomialff

Quasi-Binomial Family Function

Cleans Up After Smart Prediction

Probit Link Function

The Dirichlet distribution

Constrained Quadratic Ordination

The Truncated Pareto Distribution

Fitting Vector Generalized Additive Models

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

Smart Prediction Setup

Zero-Inflated Poisson Distribution

Defining smooths in VGAM formulae

Control function for vgam

Control function for rrvglm

Venice Maximum Sea Levels

Predict Method for a VGLM fit

Rhobit Link Function

Prior and Working Weights of a VGLM fit

Yeo-Johnson Transformation

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

Simplex distribution

Zero-Inflated Binomial Distribution Family Function

rrvglm.optim.control

Control function for rrvglm() calling optim()

undocumented-methods

Undocumented Methods Functions

Loglinear Model for Two Binary Responses

Wald Distribution Family Function

Zero-Inflated Binomial Distribution

Auckland University Undergraduate Counts

calibrate.qrrvglm.control

Control function for CQO/UQO/CAO calibration

Cauchit Link Function

Censored Gumbel Distribution

The Zeta Distribution

Fitting a Dirichlet-Multinomial Distribution

The Generalized Gamma Distribution

The Generalized Pareto Distribution

The Gumbel Distribution

Gumbel's Type I Bivariate Distribution Family Function

Latent Variable Plot

Latent Variables

McCullagh (1989) Distribution Family Function

The Positive-Normal Distribution

Positive-Poisson Distribution

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

Reciprocal Inverse Gaussian distribution

Determine What Mode the Smart Prediction is In

Return Level Plot for GEV Fits

Fitting Unconstrained Quadratic Ordination (UQO)

Weibull Distribution Family Function

Vector cubic smoothing spline

Waitakere Ranges data

Rutherford-Geiger polonium data

Pneumoconiosis amongst a group of coalminers

USA grain prices

Hunua Ranges data