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GB2 (version 1.0)

Generalized Beta Distribution of the Second Kind: properties, likelihood, estimation.

Description

GB2 is a simple package that calculates the basic properties of the Generalized Beta distribution of the second kind - density, distribution function, quantiles, moments. Functions for the full loglikelihood, the profile loglikelihood and the scores are provided. Formulae for various Laeken indicators under the GB2 are implemented. It performs maximum likelihood estimation and non-linear least squares eastimation of the model parameters. It provides various polots for the vizualization and analysis of the results.

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Version

Install

install.packages('GB2')

Monthly Downloads

2,167

Version

1.0

License

GPL (>= 2)

Maintainer

Desislava Nedyalkova

Last Published

January 6th, 2011

Functions in GB2 (1.0)

Full Log-likelihood of the GB2 Distribution

Moments and Other Properties of a GB2 Random Variable

Log Density of the GB2 Distribution

Contour Plot of the Profile Log-likelihood of the GB2 Distribution

Cumulative Distribution Plot and Kernel Density Plot for the Fitted GB2

ProfLogLikelihood

Profile Log-likelihood of the GB2 Distribution

Sensitivity Analysis of Laeken Indicators on GB2 Parameters

Maximum Excess Representation of a Generalized Hypergeometric Function Using Thomae's Theorem

Computation of the Gini Coefficient for the GB2 Distribution and its Particular Cases.

Fitting the GB2 by Minimizing the Distance Between a Set of Indicators and Their GB2 Expressions

Variance Estimation of the Parameters of the GB2 Distribution

Monetary Laeken Indicators under the GB2

The Generalized Beta Distribution of the Second Kind

Maximum Likelihood Estimation of the GB2 Based on the Profile Log-likelihood

Maximum Likelihood Estimation of the GB2 Based on the Full Log-likelihood

Fitting the GB2 by the Method of Maximum Likelihood Estimation