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VGAM (version 0.7-4)

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

42,195

Version

0.7-4

License

GPL version 2

Maintainer

Thomas Yee

Last Published

February 12th, 2025

Functions in VGAM (0.7-4)

The Singh-Maddala Distribution

Beta-geometric Distribution Family Function

Computes Model Coefficients and Quantities

Bradley Terry Model With Ties

The Dagum Distribution

The Fisk Distribution

The Lomax Distribution

Density Plot for LMS Quantile Regression

Frank's Bivariate Distribution Family Function

2-parameter Gamma Distribution

Exponential Distribution

The Generalized Pareto Distribution

Returns Important Matrices etc. of a QO Object

2-parameter Gamma Distribution

The Pareto Distribution

Laplace Distribution

Vector Generalized Linear and Additive Models

The Two-parameter Beta Distribution Family Function

Benini Distribution Family Function

Beta-binomial Distribution Family Function

The Beta-Binomial Distribution

McKay's Bivariate Gamma Distribution

Fitting Constrained Additive Ordination (CAO)

Control Function for RR-VGAMs (CAO)

Bivariate Probit Model

The Birnbaum-Saunders Distribution

Chi-squared Distribution

Body Mass Index of New Zealand Adults

Model Calibrations

The AA-Aa-aa Blood Group System

The AB-Ab-aB-ab2 Blood Group System

Complementary Log-log Link Function

Constraint Matrices

Double Exponential Binomial Distribution Family Function

Gamma Hyperbola Bivariate Distribution

Mixture of Two Poisson Distributions

The AB-Ab-aB-ab Blood Group System

plotvgam.control

Control Function for plotvgam()

Positive Negative Binomial Distribution Family Function

Positive Poisson Distribution Family Function

Ordinal Regression with Continuation Ratios

Positive Normal Distribution Family Function

The Two-stage Sequential Binomial Distribution Family Function

Coef.qrrvglm-class

Class ``Coef.qrrvglm''

The Inverse Lomax Distribution

Short-tailed Symmetric Distribution Family Function

Folded Square Root Link Function

Farlie-Gumbel-Morgenstern's Bivariate Distribution Family Function

Triangle Distribution Family Function

Gaussian (normal) Family Function

The Generalized Gamma Distribution

The Rayleigh Distribution

Fitting Vector Generalized Additive Models

Haight's Zeta Function

Asymmetric Least Squares Quantile Regression

Inputting Data to fit a Bradley Terry Model

Hunting Spider Data

Zero-Inflated Binomial Distribution Family Function

Generalized Extreme Value Distribution Family Function

Gumbel Distribution Family Function

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

Logit Link Function

Bivariate Logistic Regression

Invparalogistic

The Inverse Paralogistic Distribution

The G1G2G3 Blood Group System

Biplot of Constrained Regression Models

Bivariate Logistic Distribution

Extract Model Constrained/Canonical Coefficients

Index from Array to Matrix

Lognormal Distribution

The Beta-Prime Distribution

The Pareto(IV/III/II) Distributions

Leipnik Distribution Family Function

LMS Quantile Regression with a Yeo-Johnson Transformation to Normality

Acute Myelogenous Leukemia Survival Data

Constrained (Canonical) Coefficients

Loglinear Model for Three Binary Responses

Fitting a Dirichlet-Multinomial Distribution

Log-log Link Function

General Electric and Westinghouse Data

The Frechet Distribution

F Distribution Family Function

Beta-binomial Distribution Family Function

Redirects the user to rrvglm

Breathlessness and Wheeze Amongst Coalminers

Zero-Inflated Poisson Distribution

Poisson-Ordinal Link Function

Log-gamma Distribution Family Function

Univariate Normal Distribution with Double Censoring

Michaelis-Menten Model

The Beta-Normal Distribution

Cauchy Distribution Family Function

Nakagami Distribution Family Function

Generalized Gamma distribution family function

The Positive-Normal Distribution

GARMA (Generalized Autoregressive Moving-Average) Models

Pareto and Truncated Pareto Distribution Family Functions

Redirects the user to cqo

Reciprocal link function

Quasi-Poisson Family Function

Fitting a Dirichlet Distribution

Latent Variables

The Zeta Distribution

Upper Record Values from a 1-parameter Exponential Distribution

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

Creates a Matrix of Appropriate Dimension

Test For a Smart Object

1-parameter Gamma Distribution

Levy Distribution Family Function

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

Negative Binomial-Ordinal Link Function

Logarithmic Distribution

Construct the Model Frame of a VLM Object

Mixture of Two Univariate Normal Distributions

Log link function with an offset

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

Identity Link Function

Quantile Plot for LMS Quantile Regression

Paralogistic Distribution Family Function

Cleans Up After Smart Prediction

Zero-Altered Poisson Distribution

Extract Model Coefficients for VLM Objects

Trajectory plot for QRR-VGLMs

Negative Binomial Distribution Family Function

Log link function

Link functions for VGLM/VGAM/etc. families

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

The Inverse Gaussian Distribution

The Maxwell Distribution

McCullagh (1989) Distribution Family Function

Univariate Skew-Normal Distribution Family Function

Beta Distribution of the Second Kind

Zero-Inflated Poisson Distribution Family Function

Model Diagnostic Plots for QRR-VGLMs

Multinomial Logit Model

Power Link Function

Censored Gumbel Distribution

Simplex distribution

Positive-Poisson Distribution

Skew-Normal Distribution

qrrvglm.control

Control function for QRR-VGLMs (CQO)

Control function for rrvglm

Morgenstern's Bivariate Distribution Family Function

Rhobit Link Function

Prentice (1974) Log-gamma Distribution

Ordinal Regression with Stopping Ratios

Chest Pain in NZ Adults

The MNSs Blood Group System

Trajectory Plot

Upper Record Values from a Univariate Normal Distribution

Defining smooths in VGAM formulae

smart.expression

S Expression for Smart Functions

Control function for vgam

Ordinal Poisson Family Function

Determine What Mode the Smart Prediction is In

Create a Survival Object

Prior and Working Weights of a VGLM fit

von Mises Distribution Family Function

Bivariate Logistic Distribution Family Function

Censored Normal Distribution

Weibull Distribution Family Function

calibrate.qrrvglm

Calibration for CQO, UQO and CAO models

Ordinal Regression with Cumulative Probabilities

Generalized Beta Distribution of the Second Kind

Fitting Constrained Quadratic Ordination (CQO)

The zero Argument in VGAM Family Functions

get.smart.prediction

Retrieves ``.smart.prediction''

The Generalized Extreme Value Distribution

Hyperbolic Secant Distribution Family Function

Exponentiated Exponential Distribution

Gamma-Ordinal Link Function

Latent Variable Plot for QO models

Fisher's Z Link Function

Control Function for UQO models

Venice Maximum Sea Levels

Latent Variable Plot for RR-VGLMs

Fitting Vector Generalized Linear Models

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

The Zipf Distribution

Zero-Inflated Binomial Distribution

Mean Excess Plot

Fitted Values of a VLM object

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

notdocumentedyet

Undocumented and Internally Used Functions and Classes

Generalized Pareto Distribution Family Function

Positive Binomial Distribution Family Function

Poisson Family Function

Quantile Plot for Gumbel Regression

The Gumbel Distribution

Zero-Altered Negative Binomial Distribution

Logarithmic Distribution

Logistic Distribution Family Function

Zeta Distribution Family Function

Fitting Goodman's RC Association Model

Latent Variable Plot

Univariate normal distribution

The ABO Blood Group System

Perspective plot for QRR-VGLMs

Complementary-log Link Function

Chinese Population in New Zealand 1867--2001

Predict Method for a VGLM fit

Coef.rrvglm-class

Class ``Coef.rrvglm''

Ordinal Regression with Adjacent Categories Probabilities

calibrate-methods

Calibration for Constrained Regression Models

Reciprocal Inverse Gaussian distribution

Cauchit Link Function

Exponentiated Exponential Distribution

Positive-negative binomial distribution random variates

Smart Prediction Setup

Nested reduced-rank autoregressive models for multiple time series

Fitting a Dirichlet-Multinomial Distribution

Geometric Distribution

Smart Prediction

Gumbel's Type I Bivariate Distribution Family Function

Inverse Gaussian Distribution Family Function

undocumented-methods

Undocumented Methods Functions

Vector cubic smoothing spline

The Laplace Distribution

Generalized Beta Distribution Family Function

Low-iron Rat Teratology Data

Loglinear Model for Two Binary Responses

The Log-Gamma Distribution

Lerch Phi Function

model.matrixvlm

Construct the Design Matrix of a VLM Object

The Dirichlet distribution

Class ``rrvglm''

rrvglm.optim.control

Control function for rrvglm() calling optim()

Toxoplasmosis Data

Yeo-Johnson Transformation

Wald Distribution Family Function

Returns Important Matrices etc. of a RR-VGLM Object

Auckland University Undergraduate Counts

The Beta-Geometric Distribution

calibrate.qrrvglm.control

Control function for CQO/UQO/CAO calibration

Binomial Family Function

Cumulative Distribution Function for LMS Quantile Regression

Erlang Distribution

Generalized Poisson distribution

LMS Quantile Regression with a Box-Cox Transformation to Normality

Oxford Temperature Data

Hypergeometric Family Function

plotdeplot.lmscreg

Density Plot for LMS Quantile Regression

plotqtplot.lmscreg

Quantile Plot for LMS Quantile Regression

The Poisson Lognormal Distribution

Positive-Binomial Distribution

Default VGAM Plotting

Probit Link Function

Constrained Quadratic Ordination

quasibinomialff

Quasi-Binomial Family Function

Student t Distribution

The Truncated Pareto Distribution

Fitting Unconstrained Quadratic Ordination (UQO)

Return Level Plot for GEV Fits

Class ``vglmff''

Control function for vglm

Waitakere Ranges Data

Pneumoconiosis amongst a group of coalminers

USA grain prices

Hunua Ranges Data

Rutherford-Geiger Polonium Data