Contprof

contprof.gb2

Produces a contour plot of the profile log-likelihood, which is a function of two parameters only.

distribution

The GB2 package explores the Generalized Beta distribution of the second kind. Density, cumulative distribution function, quantiles and moments of the distribution are given. Functions for the full log-likelihood, the profile log-likelihood and the scores are provided. Formulas for various indicators of inequality and poverty under the GB2 are implemented. The GB2 is fitted by the methods of maximum pseudo-likelihood estimation using the full and profile log-likelihood, and non-linear least squares estimation of the model parameters. Various plots for the visualization and analysis of the results are provided. Variance estimation of the parameters is provided for the method of maximum pseudo-likelihood estimation. A mixture distribution based on the compounding property of the GB2 is presented (denoted as "compound" in the documentation). This mixture distribution is based on the discretization of the distribution of the underlying random scale parameter. The discretization can be left or right tail. Density, cumulative distribution function, moments and quantiles for the mixture distribution are provided. The compound mixture distribution is fitted using the method of maximum pseudo-likelihood estimation. The fit can also incorporate the use of auxiliary information. In this new version of the package, the mixture case is complemented with new functions for variance estimation by linearization and comparative density plots.

Desislava Nedyalkova

Generalized Beta Distribution of the Second Kind: Properties,
Likelihood, Estimation

Monique Graf

Desislava Nedyalkova.

Contprof function

<dl> <dt>z</dt>
<dd>numeric; vector of data values.</dd> <dt>w</dt>
<dd>numeric; vector of weights. Must have the same length as <code>z</code>. By default <code>w</code> is a vector of 1.</dd> <dt>resol</dt>
<dd>numeric; number of grid points horizontally and vertically. For better graph quality, we recommend a value of 100.</dd> <dt>low, high</dt>
<dd>numeric; lower and upper factors for scale.</dd></dl>

Arguments

Author

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

<dl>

 <dt>z</dt>
<dd>numeric; vector of data values.</dd>

 <dt>w</dt>
<dd>numeric; vector of weights. Must have the same length as <code>z</code>. By default <code>w</code> is a vector of 1.</dd>

 <dt>resol</dt>
<dd>numeric; number of grid points horizontally and vertically. For better graph quality, we recommend a value of 100.</dd>

 <dt>low, high</dt>
<dd>numeric; lower and upper factors for scale.</dd>

</dl>

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

Description

Usage

Value

Arguments

Author

Details

See Also