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

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Documentation for package ‘GB2’ version 2.1.1

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A C D E F G H I K L M N P Q R S T U V

-- A --

arpr.cgb2 Indicators of Poverty and Social Exclusion under the Compound Distribution based on the GB2
arpr.gb2 Monetary Laeken Indicators under the GB2
arpt.cgb2 Indicators of Poverty and Social Exclusion under the Compound Distribution based on the GB2
arpt.gb2 Monetary Laeken Indicators under the GB2

-- C --

combiopt Maximum Excess Representation of a Generalized Hypergeometric Function Using Thomae's Theorem
Compound Compound Distribution based on the Generalized Beta Distribution of the Second Kind
CompoundAuxDensPlot Comparison of the compound GB2 and kernel densities by group
CompoundAuxFit Fitting the Compound Distribution based on the GB2 by the Method of Pseudo Maximum Likelihood Estimation using Auxiliary Information
CompoundAuxVarest Variance Estimation under the Compound GB2 Distribution Using Auxiliary Information
CompoundDensPlot Comparison of the GB2, compound GB2 and kernel densities
CompoundFit Fitting the Compound Distribution based on the GB2 by the Method of Maximum Likelihood Estimation
CompoundIndicators Indicators of Poverty and Social Exclusion under the Compound Distribution based on the GB2
CompoundQuantiles Quantiles and random generation of the Compound Distribution based on the GB2
CompoundVarest Variance Estimation of the Compound GB2 Distribution
Contindic Sensitivity Analysis of Laeken Indicators on GB2 Parameters
contindic.gb2 Sensitivity Analysis of Laeken Indicators on GB2 Parameters
Contprof Contour Plot of the Profile Log-likelihood of the GB2 Distribution
contprof.gb2 Contour Plot of the Profile Log-likelihood of the GB2 Distribution

-- D --

d2logf.gb2 Log Density of the GB2 Distribution
dcgb2 Compound Distribution based on the Generalized Beta Distribution of the Second Kind
derivind.cgb2 Variance Estimation of the Compound GB2 Distribution
derivind.gb2 Variance Estimation of the Parameters of the GB2 Distribution
desvar.cavgb2 Variance Estimation under the Compound GB2 Distribution Using Auxiliary Information
desvar.cgb2 Variance Estimation of the Compound GB2 Distribution
dgb2 The Generalized Beta Distribution of the Second Kind
dl.cgb2 Compound Distribution based on the Generalized Beta Distribution of the Second Kind
dlogf.gb2 Log Density of the GB2 Distribution
dplot.cavgb2 Comparison of the compound GB2 and kernel densities by group
dplot.cgb2 Comparison of the GB2, compound GB2 and kernel densities

-- E --

el.gb2 Moments and Other Properties of a GB2 Random Variable

-- F --

fg.cgb2 Compound Distribution based on the Generalized Beta Distribution of the Second Kind
Fisk Parameters of the Fisk Distribution
fisk Parameters of the Fisk Distribution
fiskh Parameters of the Fisk Distribution

-- G --

gb2 The Generalized Beta Distribution of the Second Kind
gb2.gini Maximum Excess Representation of a Generalized Hypergeometric Function Using Thomae's Theorem
Gini Computation of the Gini Coefficient for the GB2 Distribution and its Particular Cases.
gini.b2 Computation of the Gini Coefficient for the GB2 Distribution and its Particular Cases.
gini.dag Computation of the Gini Coefficient for the GB2 Distribution and its Particular Cases.
gini.gb2 Computation of the Gini Coefficient for the GB2 Distribution and its Particular Cases.
gini.sm Computation of the Gini Coefficient for the GB2 Distribution and its Particular Cases.

-- H --

hess.cavgb2 Variance Estimation under the Compound GB2 Distribution Using Auxiliary Information
hess.cgb2 Variance Estimation of the Compound GB2 Distribution

-- I --

incompl.cgb2 Moments of the Compound Distribution based on the GB2
incompl.gb2 Moments and Other Properties of a GB2 Random Variable
Indicators Monetary Laeken Indicators under the GB2
info.gb2 Full Log-likelihood of the GB2 Distribution

-- K --

kl.gb2 Moments and Other Properties of a GB2 Random Variable

-- L --

lambda0.cavgb2 Fitting the Compound Distribution based on the GB2 by the Method of Pseudo Maximum Likelihood Estimation using Auxiliary Information
LogDensity Log Density of the GB2 Distribution
logf.gb2 Log Density of the GB2 Distribution
logl.cavgb2 Fitting the Compound Distribution based on the GB2 by the Method of Pseudo Maximum Likelihood Estimation using Auxiliary Information
logl.cgb2 Fitting the Compound Distribution based on the GB2 by the Method of Maximum Likelihood Estimation
loglh.gb2 Full Log-likelihood of the GB2 Distribution
LogLikelihood Full Log-likelihood of the GB2 Distribution
loglp.gb2 Full Log-likelihood of the GB2 Distribution

-- M --

main.cgb2 Indicators of Poverty and Social Exclusion under the Compound Distribution based on the GB2
main.emp Fitting the GB2 by the Method of Maximum Likelihood Estimation and Comparison of the Fitted Indicators with the Empirical Indicators
main.gb2 Monetary Laeken Indicators under the GB2
main2.gb2 Monetary Laeken Indicators under the GB2
mkl.cgb2 Moments of the Compound Distribution based on the GB2
ml.cavgb2 Fitting the Compound Distribution based on the GB2 by the Method of Pseudo Maximum Likelihood Estimation using Auxiliary Information
ml.cgb2 Fitting the Compound Distribution based on the GB2 by the Method of Maximum Likelihood Estimation
ml.gb2 Maximum Likelihood Estimation of the GB2 Based on the Full Log-likelihood
mlfit.gb2 Fitting the GB2 by the Method of Maximum Likelihood Estimation and Comparison of the Fitted Indicators with the Empirical Indicators
MLfitGB2 Fitting the GB2 by the Method of Maximum Likelihood Estimation and Comparison of the Fitted Indicators with the Empirical Indicators
MLfullGB2 Maximum Likelihood Estimation of the GB2 Based on the Full Log-likelihood
mlh.gb2 Maximum Likelihood Estimation of the GB2 Based on the Full Log-likelihood
MLprofGB2 Maximum Likelihood Estimation of the GB2 Based on the Profile Log-likelihood
moment.cgb2 Moments of the Compound Distribution based on the GB2
moment.gb2 Moments and Other Properties of a GB2 Random Variable
Moments Moments and Other Properties of a GB2 Random Variable

-- N --

nlsfit.gb2 Fitting the GB2 by Minimizing the Distance Between a Set of Empirical Indicators and Their GB2 Expressions
NonlinearFit Fitting the GB2 by Minimizing the Distance Between a Set of Empirical Indicators and Their GB2 Expressions

-- P --

pcgb2 Compound Distribution based on the Generalized Beta Distribution of the Second Kind
pgb2 The Generalized Beta Distribution of the Second Kind
pkl.cavgb2 Fitting the Compound Distribution based on the GB2 by the Method of Pseudo Maximum Likelihood Estimation using Auxiliary Information
pl.cgb2 Compound Distribution based on the Generalized Beta Distribution of the Second Kind
PlotsML Cumulative Distribution Plot and Kernel Density Plot for the Fitted GB2
plotsML.gb2 Cumulative Distribution Plot and Kernel Density Plot for the Fitted GB2
pofv.cgb2 Fitting the Compound Distribution based on the GB2 by the Method of Maximum Likelihood Estimation
prcgb2 Compound Distribution based on the Generalized Beta Distribution of the Second Kind
prof.gb2 Profile Log-likelihood of the GB2 Distribution
proflogl.gb2 Profile Log-likelihood of the GB2 Distribution
ProfLogLikelihood Profile Log-likelihood of the GB2 Distribution
profml.gb2 Maximum Likelihood Estimation of the GB2 Based on the Profile Log-likelihood
profscores.gb2 Profile Log-likelihood of the GB2 Distribution

-- Q --

qcgb2 Quantiles and random generation of the Compound Distribution based on the GB2
qgb2 The Generalized Beta Distribution of the Second Kind
qsr.cgb2 Indicators of Poverty and Social Exclusion under the Compound Distribution based on the GB2
qsr.gb2 Monetary Laeken Indicators under the GB2

-- R --

rcgb2 Quantiles and random generation of the Compound Distribution based on the GB2
rgb2 The Generalized Beta Distribution of the Second Kind
rmpg.cgb2 Indicators of Poverty and Social Exclusion under the Compound Distribution based on the GB2
rmpg.gb2 Monetary Laeken Indicators under the GB2
RobustWeights Robustification of the sampling weights
robwts Robustification of the sampling weights

-- S --

saveplot Cumulative Distribution Plot and Kernel Density Plot for the Fitted GB2
scores.cavgb2 Fitting the Compound Distribution based on the GB2 by the Method of Pseudo Maximum Likelihood Estimation using Auxiliary Information
scores.cgb2 Fitting the Compound Distribution based on the GB2 by the Method of Maximum Likelihood Estimation
scoresh.gb2 Full Log-likelihood of the GB2 Distribution
scoresp.gb2 Full Log-likelihood of the GB2 Distribution
scoreU.cavgb2 Variance Estimation under the Compound GB2 Distribution Using Auxiliary Information
scoreU.cgb2 Variance Estimation of the Compound GB2 Distribution
scorez.cavgb2 Variance Estimation under the Compound GB2 Distribution Using Auxiliary Information
sl.gb2 Moments and Other Properties of a GB2 Random Variable

-- T --

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

-- U --

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

-- V --

Varest Variance Estimation of the Parameters of the GB2 Distribution
varscore.cavgb2 Variance Estimation under the Compound GB2 Distribution Using Auxiliary Information
varscore.cgb2 Variance Estimation of the Compound GB2 Distribution
varscore.gb2 Variance Estimation of the Parameters of the GB2 Distribution
veind.cavgb2 Variance Estimation under the Compound GB2 Distribution Using Auxiliary Information
veind.cgb2 Variance Estimation of the Compound GB2 Distribution
veind.gb2 Variance Estimation of the Parameters of the GB2 Distribution
vepar.cavgb2 Variance Estimation under the Compound GB2 Distribution Using Auxiliary Information
vepar.cgb2 Variance Estimation of the Compound GB2 Distribution
vepar.gb2 Variance Estimation of the Parameters of the GB2 Distribution
vl.gb2 Moments and Other Properties of a GB2 Random Variable
vofp.cgb2 Fitting the Compound Distribution based on the GB2 by the Method of Maximum Likelihood Estimation