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VGAM (version 0.7-6)

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

37,782

Version

0.7-6

License

GPL-2

Maintainer

Thomas Yee

Last Published

February 12th, 2025

Functions in VGAM (0.7-6)

The AB-Ab-aB-ab Blood Group System

Returns Important Matrices etc. of a RR-VGLM Object

Link functions for VGLM/VGAM/etc. families

The MNSs Blood Group System

Coef.rrvglm-class

Class ``Coef.rrvglm''

The Two-parameter Beta Distribution Family Function

Beta-geometric Distribution Family Function

Birnbaum-Saunders Distribution Family Function

The Laplace Distribution

Extract Model Coefficients for VLM Objects

Folded Square Root Link Function

Ordinal Regression with Adjacent Categories Probabilities

Beta Distribution of the Second Kind

Exponentiated Exponential Distribution

Farlie-Gumbel-Morgenstern's Bivariate Distribution Family Function

2-parameter Gamma Distribution

Latent Variables

The Two-stage Sequential Binomial Distribution Family Function

Slash Distribution Family Function

Smart Prediction

The Triangle Distribution

Prior and Working Weights of a VGLM fit

Mean Excess Plot

The Pareto(IV/III/II) Distributions

calibrate.qrrvglm

Calibration for CQO, UQO and CAO models

Create a Survival Object

Borel-Tanner Distribution Family Function

The Rayleigh Distribution

Biplot of Constrained Regression Models

Model Calibrations

The Pareto Distribution

Returns Important Matrices etc. of a QO Object

The Inverse Gaussian Distribution

calibrate.qrrvglm.control

Control function for CQO/UQO/CAO calibration

Censored Normal Distribution

Double Exponential Binomial Distribution Family Function

Binomial Family Function

Poisson Regression by Asymmetric Maximum Likelihood Estimation

Ordinal Regression with Continuation Ratios

Ali-Mikhail-Haq Distribution's Bivariate Distribution

Chi-squared Distribution

The Beta-Normal Distribution

Chest Pain in NZ Adults

Bivariate Logistic Regression

The Beta-Binomial Distribution

Beta-binomial Distribution Family Function

The Singh-Maddala Distribution

The Two-parameter Beta Distribution Family Function

The Inverse Lomax Distribution

The AA-Aa-aa Blood Group System

Breathlessness and Wheeze Amongst Coalminers

Benini Distribution Family Function

Felix Distribution Family Function

The Generalized Gamma Distribution

The Beta-Prime Distribution

Bivariate Logistic Distribution

Redirects the user to cqo

Coef.qrrvglm-class

Class ``Coef.qrrvglm''

Vector Generalized Linear and Additive Models

Binomial Logistic Regression by Asymmetric Maximum Likelihood Estimation

Invparalogistic

The Inverse Paralogistic Distribution

CommonVGAMffArguments

Common VGAM family function Arguments

Fitting Constrained Quadratic Ordination (CQO)

The ABO Blood Group System

The Maxwell Distribution

The Dagum Distribution

The Borel-Tanner Distribution

Complementary Log-log Link Function

Bivariate Probit Model

The Fisk Distribution

Constraint Matrices

The AB-Ab-aB-ab2 Blood Group System

Asymmetric Least Squares Quantile Regression

Body Mass Index of New Zealand Adults

Computes Model Coefficients and Quantities

Auckland University Undergraduate Counts

Bradley Terry Model

The Beta-Geometric Distribution

Fitting a Dirichlet Distribution

Fitting Constrained Additive Ordination (CAO)

calibrate-methods

Calibration for Constrained Regression Models

Bradley Terry Model With Ties

Exponential Regression by Asymmetric Maximum Likelihood Estimation

get.smart.prediction

Retrieves ``.smart.prediction''

Cardioid Distribution Family Function

Asymmetric Laplace Distribution Family Functions

Laplace Distribution

Frechet Distribution Family Function

Gumbel's Type I Bivariate Distribution Family Function

Cauchit Link Function

Ordinal Regression with Cumulative Probabilities

Fitting a Dirichlet-Multinomial Distribution

Gaussian (normal) Family Function

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

Hypergeometric Family Function

Index from Array to Matrix

Beta-binomial Distribution Family Function

Density Plot for LMS Quantile Regression

Generalized Poisson distribution

The Zeta Distribution

Generalized Beta Distribution Family Function

Redirects the user to rrvglm

Leipnik Distribution Family Function

Logarithmic Distribution

Low-iron Rat Teratology Data

Univariate Normal Distribution with Double Censoring

Censored Poisson Family Function

Inverse Gaussian Distribution Family Function

2-parameter Gamma Distribution

Predict Method for a VGLM fit

Log link function

Log-gamma Distribution Family Function

Kumaraswamy Distribution Family Function

Mixture of Two Univariate Normal Distributions

The Generalized Extreme Value Distribution

quasibinomialff

Quasi-Binomial Family Function

General Electric and Westinghouse Data

Pareto and Truncated Pareto Distribution Family Functions

Construct the Model Frame of a VLM Object

Nakagami Distribution

Logit Link Function

Poisson-Ordinal Link Function

The Gumbel Distribution

Lerch Phi Function

Extract Model Constrained/Canonical Coefficients

Quasi-Poisson Family Function

The Skellam Distribution

Cumulative Distribution Function for LMS Quantile Regression

Censored Gumbel Distribution

Hyperbolic Secant Distribution Family Function

Power Link Function

The Positive-Normal Distribution

Erlang Distribution

Lognormal Distribution

Upper Record Values from a 1-parameter Exponential Distribution

Loglinear Model for Three Binary Responses

The Laplace Distribution

Exponential Distribution

Fisher's Z Link Function

The Folded-Normal Distribution

Folded Normal Distribution Family Function

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

Univariate normal distribution

Frank's Bivariate Distribution

F Distribution Family Function

Creates a Matrix of Appropriate Dimension

Fitting a Dirichlet-Multinomial Distribution

1-parameter Gamma Distribution

Haight's Zeta Function

Generalized Extreme Value Distribution Family Function

Poisson Family Function

The Dirichlet distribution

Positive-negative binomial distribution random variates

Gamma Hyperbola Bivariate Distribution

Fitted Values of a VLM object

Hunting Spider Data

Gumbel Distribution Family Function

Test For a Smart Object

plotdeplot.lmscreg

Density Plot for LMS Quantile Regression

Generalized Pareto Distribution Family Function

Positive Normal Distribution Family Function

Latent Variable Plot

Return Level Plot for GEV Fits

The Poisson Lognormal Distribution

Positive Poisson Distribution Family Function

Generalized Gamma distribution family function

A Short-tailed Symmetric Distribution

Levy Distribution Family Function

The Generalized Pareto Distribution

The Rice Distribution

Quantile Plot for Gumbel Regression

Hunua Ranges Data

Quantile Plot for LMS Quantile Regression

LMS Quantile Regression with a Box-Cox Transformation to Normality

Toxoplasmosis Data

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

Constrained Quadratic Ordination

Rice Distribution Family Function

Trajectory Plot

Rutherford-Geiger Polonium Data

Determine What Mode the Smart Prediction is In

Generalized Beta Distribution of the Second Kind

Acute Myelogenous Leukemia Survival Data

Log-log Link Function

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

LMS Quantile Regression with a Yeo-Johnson Transformation to Normality

Logistic Distribution Family Function

Zero-Inflated Binomial Distribution Family Function

Geometric Distribution

Wald Distribution Family Function

Skew-Normal Distribution

model.matrixvlm

Construct the Design Matrix of a VLM Object

notdocumentedyet

Undocumented and Internally Used Functions and Classes

The Log-Gamma Distribution

The Zipf Distribution

The Truncated Pareto Distribution

Zero-Inflated Negative Binomial Distribution

Minimizing the L-q norm Family Function

Zero-Inflated Negative Binomial Distribution Family Function

McCullagh (1989) Distribution Family Function

Lomax Distribution Family Function

McKay's Bivariate Gamma Distribution

Oxford Temperature Data

Mixture of Two Exponential Distributions

Log link function with an offset

Inverse Binomial Distribution Family Function

undocumented-methods

Undocumented Methods Functions

Negative Binomial-Ordinal Link Function

Zero-Altered Poisson Distribution

Paralogistic Distribution Family Function

Loglinear Model for Two Binary Responses

Ordinal Poisson Family Function

Control Function for UQO models

Mixture of Two Poisson Distributions

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

Latent Variable Plot for QO models

Chinese Population in New Zealand 1867--2001

Latent Variable Plot for RR-VGLMs

plotqtplot.lmscreg

Quantile Plot for LMS Quantile Regression

Perspective plot for QRR-VGLMs

Nested reduced-rank autoregressive models for multiple time series

The Matched Binomial Distribution Family Function

Reciprocal link function

USA grain prices

Identity Link Function

Pneumoconiosis amongst a group of coalminers

Model Diagnostic Plots for QRR-VGLMs

Logarithmic Distribution

Multinomial Logit Model

Control function for vglm

Positive-Poisson Distribution

Plackett's Bivariate Distribution Family Function

Positive Binomial Distribution Family Function

Negative Binomial Distribution Family Function

Class ``vglmff''

Ordinal Regression with Stopping Ratios

qrrvglm.control

Control function for QRR-VGLMs (CQO)

Cleans Up After Smart Prediction

Class ``rrvglm''

Yeo-Johnson Transformation

Fitting Vector Generalized Additive Models

Zero-Inflated Binomial Distribution

Rhobit Link Function

rrvglm.optim.control

Control function for rrvglm() calling optim()

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

Defining smooths in VGAM formulae

The zero Argument in VGAM Family Functions

Reciprocal Inverse Gaussian distribution

plotvgam.control

Control Function for plotvgam()

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

Zero-Inflated Poisson Distribution

Control function for rrvglm

Positive-Binomial Distribution

Univariate Skew-Normal Distribution Family Function

smart.expression

S Expression for Smart Functions

Prentice (1974) Log-gamma Distribution

Fitting Unconstrained Quadratic Ordination (UQO)

Probit Link Function

Yule-Simon Family Function

Venice Maximum Sea Levels

Upper Record Values from a Univariate Normal Distribution

Zero-Inflated Poisson Distribution Family Function

Smart Prediction Setup

Fitting Vector Generalized Linear Models

Weibull Distribution Family Function

Trajectory plot for QRR-VGLMs

Zeta Distribution Family Function

Waitakere Ranges Data

Yule-Simon Distribution

Zero-Altered Negative Binomial Distribution

Student t Distribution

Vector cubic smoothing spline

The G1G2G3 Blood Group System

Bivariate Logistic Distribution Family Function

Control Function for RR-VGAMs (CAO)

Cauchy Distribution Family Function

Constrained (Canonical) Coefficients

Cardioid Distribution

Exponentiated Exponential Distribution

GARMA (Generalized Autoregressive Moving-Average) Models

Gamma-Ordinal Link Function

Fitting Goodman's RC Association Model

Complementary-log Link Function

Michaelis-Menten Model

Default VGAM Plotting

Morgenstern's Bivariate Distribution Family Function

Positive Negative Binomial Distribution Family Function

Simplex distribution

Control function for vgam

von Mises Distribution Family Function