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VGAM (version 0.7-7)

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

0.7-7

License

GPL-2

Maintainer

Thomas Yee

Last Published

February 12th, 2025

Functions in VGAM (0.7-7)

Inputting Data to fit a Bradley Terry Model

The Dagum Distribution

The Beta-Normal Distribution

Birnbaum-Saunders Distribution Family Function

Borel-Tanner Distribution Family Function

The AB-Ab-aB-ab Blood Group System

The AA-Aa-aa Blood Group System

The AB-Ab-aB-ab2 Blood Group System

The Paralogistic Distribution

Returns Important Matrices etc. of a RR-VGLM Object

Asymmetric Laplace Distribution Family Functions

Fitting Constrained Additive Ordination (CAO)

calibrate.qrrvglm

Calibration for CQO, UQO and CAO models

The ABO Blood Group System

The Two-parameter Beta Distribution Family Function

The MNSs Blood Group System

The Singh-Maddala Distribution

Bivariate Logistic Distribution Family Function

The Pareto Distribution

The Rayleigh Distribution

Model Calibrations

Bivariate Probit Model

Redirects the user to rrvglm

Censored Poisson Family Function

Chi-squared Distribution

Censored Normal Distribution

Breathlessness and Wheeze Amongst Coalminers

Farlie-Gumbel-Morgenstern's Bivariate Distribution Family Function

Asymmetric Least Squares Quantile Regression

The Inverse Gaussian Distribution

Coef.qrrvglm-class

Class ``Coef.qrrvglm''

Complementary Log-log Link Function

Ordinal Regression with Continuation Ratios

Invparalogistic

The Inverse Paralogistic Distribution

2-parameter Gamma Distribution

Double Exponential Binomial Distribution Family Function

Fisk Distribution family function

Ordinal Regression with Adjacent Categories Probabilities

Binomial Logistic Regression by Asymmetric Maximum Likelihood Estimation

Beta-binomial Distribution Family Function

Returns Important Matrices etc. of a QO Object

Link functions for VGLM/VGAM/etc. families

1-parameter Gamma Distribution

Cardioid Distribution

Poisson Regression by Asymmetric Maximum Likelihood Estimation

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

Auckland University Undergraduate Counts

Ordinal Regression with Cumulative Probabilities

The Gumbel Distribution

The Lomax Distribution

Geometric Distribution

Generalized Beta Distribution of the Second Kind

Ali-Mikhail-Haq Distribution's Bivariate Distribution

The G1G2G3 Blood Group System

Censored Gumbel Distribution

Binomial Family Function

Bivariate Binary Regression with an Odds Ratio (Family Function)

Creates a Matrix of Appropriate Dimension

Erlang Distribution

Exponentiated Exponential Distribution

Index from Array to Matrix

calibrate.qrrvglm.control

Control function for CQO/UQO/CAO calibration

2-parameter Gamma Distribution

Control Function for RR-VGAMs (CAO)

Cauchit Link Function

Hunua Ranges Data

Computes Model Coefficients and Quantities

The Beta-Geometric Distribution

Haight's Zeta Family Function

Gaussian (normal) Family Function

Identity Link Function

Hypergeometric Family Function

CommonVGAMffArguments

Common VGAM family function Arguments

The Generalized Pareto Distribution

Cauchy Distribution Family Function

The Beta-Binomial Distribution

The Laplace Distribution

The Borel-Tanner Distribution

Constrained (Canonical) Coefficients

The Pareto(IV/III/II) Distributions

Gamma Hyperbola Bivariate Distribution

The Generalized Beta Distribution (Libby and Novick, 1982)

Extract Model Coefficients for VLM Objects

Levy Distribution Family Function

Fisher's Z Link Function

Beta Distribution of the Second Kind

Redirects the user to cqo

Log link function

Cumulative Distribution Function for LMS Quantile Regression

Inverse Lomax Distribution Family Function

Exponentiated Exponential Distribution

The Maxwell Distribution

Lognormal Distribution

The Generalized Extreme Value Distribution

The Matched Binomial Distribution Family Function

The Two-parameter Beta Distribution Family Function

GARMA (Generalized Autoregressive Moving-Average) Models

Test For a Smart Object

Michaelis-Menten Model

Body Mass Index of New Zealand Adults

Log link function with an offset

Mixture of Two Univariate Normal Distributions

Gumbel's Type I Bivariate Distribution Family Function

Chest Pain in NZ Adults

Inverse Binomial Distribution Family Function

Construct the Model Frame of a VLM Object

Morgenstern's Bivariate Distribution Family Function

Create a Survival Object

Log-gamma Distribution Family Function

Folded Square Root Link Function

Vector Generalized Linear and Additive Models

Chinese Population in New Zealand 1867--2001

Fitting a Dirichlet-Multinomial Distribution

Fitting a Dirichlet Distribution

The Laplace Distribution

Negative Binomial-Ordinal Link Function

Gamma-Ordinal Link Function

Biplot of Constrained Regression Models

plotdeplot.lmscreg

Density Plot for LMS Quantile Regression

Benini Distribution Family Function

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

LMS Quantile Regression with a Yeo-Johnson Transformation to Normality

The Zeta Distribution

F Distribution Family Function

Generalized Pareto Distribution Family Function

The Generalized Gamma Distribution

Frank's Bivariate Distribution

Fitting a Dirichlet-Multinomial Distribution

Logarithmic Distribution

Hyperbolic Secant Distribution Family Function

Loglinear Model for Three Binary Responses

Kumaraswamy Distribution Family Function

Log-log Link Function

Latent Variables

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

Loglinear Model for Two Binary Responses

get.smart.prediction

Retrieves ``.smart.prediction''

Beta-geometric Distribution Family Function

notdocumentedyet

Undocumented and Internally Used Functions and Classes

plotqtplot.lmscreg

Quantile Plot for LMS Quantile Regression

The Beta-Prime Distribution

Generalized Extreme Value Distribution Family Function

Extract Model Constrained/Canonical Coefficients

Plackett's Bivariate Distribution

Constraint Matrices

Generalized Gamma distribution family function

Minimizing the L-q norm Family Function

Acute Myelogenous Leukemia Survival Data

Default VGAM Plotting

Poisson Family Function

Upper Record Values from a Univariate Normal Distribution

Mean Excess Plot

The Rice Distribution

Multinomial Logit Model

Bradley Terry Model With Ties

Positive-Poisson Distribution

McKay's Bivariate Gamma Distribution

Defining smooths in VGAM formulae

Fitting Constrained Quadratic Ordination (CQO)

Skellam Distribution Family Function

Logarithmic Distribution

Low-iron Rat Teratology Data

Pneumoconiosis amongst a group of coalminers

General Electric and Westinghouse Data

Positive Binomial Distribution Family Function

Nakagami Distribution Family Function

Poisson-Ordinal Link Function

Quasi-Poisson Family Function

Positive Normal Distribution Family Function

The Felix Distribution

The Folded-Normal Distribution

Rice Distribution Family Function

Lerch Phi Function

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

qrrvglm.control

Control function for QRR-VGLMs (CQO)

Slash Distribution Family Function

McCullagh (1989) Distribution Family Function

Frechet Distribution Family Function

Nested reduced-rank autoregressive models for multiple time series

The Triangle Distribution

Folded Normal Distribution Family Function

The Log-Gamma Distribution

Control function for rrvglm

Venice Maximum Sea Levels

Fitting Vector Generalized Additive Models

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

Univariate Normal Distribution with Double Censoring

The Poisson Lognormal Distribution

Power Link Function

Predict Method for a VGLM fit

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

Generalized Poisson distribution

Trajectory plot for QRR-VGLMs

Ordinal Regression with Stopping Ratios

Hunting Spider Data

A Short-tailed Symmetric Distribution

Fitting Goodman's RC Association Model

Zero-Inflated Poisson Distribution Family Function

Gumbel Distribution Family Function

Positive Poisson Distribution Family Function

model.matrixvlm

Construct the Design Matrix of a VLM Object

Prentice (1974) Log-gamma Distribution

Waitakere Ranges Data

Leipnik Distribution Family Function

Logit Link Function

Ordinal Poisson Family Function

Control function for vgam

Quantile Plot for LMS Quantile Regression

predict.qrrvglm

Predict Method for a CQO fit

Upper Record Values from a 1-parameter Exponential Distribution

Yule-Simon Family Function

Wald Distribution Family Function

Inverse Gaussian Distribution Family Function

Vector cubic smoothing spline

Determine What Mode the Smart Prediction is In

Laplace Distribution

Rutherford-Geiger Polonium Data

Fitting Unconstrained Quadratic Ordination (UQO)

Simplex distribution

LMS Quantile Regression with a Box-Cox Transformation to Normality

Toxoplasmosis Data

Complementary-log Link Function

Pareto and Truncated Pareto Distribution Family Functions

Control Function for UQO models

The zero Argument in VGAM Family Functions

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

Zero-Inflated Negative Binomial Distribution

Return Level Plot for GEV Fits

Reciprocal link function

Zero-Inflated Poisson Distribution

Logistic Distribution Family Function

Positive-Binomial Distribution

smart.expression

S Expression for Smart Functions

Zero-Altered Negative Binomial Distribution

Skew-Normal Distribution

Class ``rrvglm''

Positive Negative Binomial Distribution Family Function

Control function for vglm

Mixture of Two Poisson Distributions

rrvglm.optim.control

Control function for rrvglm() calling optim()

von Mises Distribution Family Function

Smart Prediction Setup

Smart Prediction

Zeta Distribution Family Function

Yeo-Johnson Transformation

Fitting Vector Generalized Linear Models

Negative Binomial Distribution Family Function

Latent Variable Plot for QO models

Perspective plot for QRR-VGLMs

Zero-Altered Poisson Distribution

Zero-Inflated Binomial Distribution

Latent Variable Plot for RR-VGLMs

The Truncated Pareto Distribution

The Positive-Normal Distribution

Quantile Plot for Gumbel Regression

Zero-Inflated Binomial Distribution Family Function

The Dirichlet distribution

Rhobit Link Function

Positive-negative binomial distribution random variates

Yule-Simon Distribution

Zero-Inflated Negative Binomial Distribution Family Function

Zipf Distribution Family Function

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

quasibinomialff

Quasi-Binomial Family Function

Probit Link Function

Univariate Skew-Normal Distribution Family Function

Prior and Working Weights of a VGLM fit

undocumented-methods

Undocumented Methods Functions

Coef.rrvglm-class

Class ``Coef.rrvglm''

Exponential Regression by Asymmetric Maximum Likelihood Estimation

Beta-binomial Distribution Family Function

Bivariate Logistic Distribution

calibrate-methods

Calibration for Constrained Regression Models

Cardioid Distribution Family Function

Exponential Distribution

Fitted Values of a VLM object

Density Plot for LMS Quantile Regression

Latent Variable Plot

Mixture of Two Exponential Distributions

Model Diagnostic Plots for QRR-VGLMs

Univariate normal distribution

plotvgam.control

Control Function for plotvgam()

The Two-stage Sequential Binomial Distribution Family Function

Reciprocal Inverse Gaussian distribution

Oxford Temperature Data

Student t Distribution

Cleans Up After Smart Prediction

Trajectory Plot

Weibull Distribution Family Function

Constrained Quadratic Ordination

Class ``vglmff''

USA grain prices