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


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Documentation for package ‘GB2’ version 1.0

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arpr.gb2 Monetary Laeken Indicators under the GB2
arpt.gb2 Monetary Laeken Indicators under the GB2
combiopt Maximum Excess Representation of a Generalized Hypergeometric Function Using Thomae's Theorem
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
d2logf.gb2 Log Density of the GB2 Distribution
derivind.gb2 Variance Estimation of the Parameters of the GB2 Distribution
dgb2 The Generalized Beta Distribution of the Second Kind
dlogf.gb2 Log Density of the GB2 Distribution
el.gb2 Moments and Other Properties of a GB2 Random Variable
fisk Maximum Likelihood Estimation of the GB2 Based on the Full Log-likelihood
fiskh Maximum Likelihood Estimation of the GB2 Based on the Full Log-likelihood
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.
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
kl.gb2 Moments and Other Properties of a GB2 Random Variable
LogDensity Log Density of the GB2 Distribution
logf.gb2 Log Density of the GB2 Distribution
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
main.emp Fitting the GB2 by the Method of Maximum Likelihood Estimation
main.gb2 Monetary Laeken Indicators under the GB2
main2.gb2 Monetary Laeken Indicators under the GB2
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
MLfitGB2 Fitting the GB2 by the Method of Maximum Likelihood Estimation
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.gb2 Moments and Other Properties of a GB2 Random Variable
Moments Moments and Other Properties of a GB2 Random Variable
nlsfit.gb2 Fitting the GB2 by Minimizing the Distance Between a Set of Indicators and Their GB2 Expressions
nlsfit2.gb2 Fitting the GB2 by Minimizing the Distance Between a Set of Indicators and Their GB2 Expressions
NonlinearFit Fitting the GB2 by Minimizing the Distance Between a Set of Indicators and Their GB2 Expressions
pgb2 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
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
qgb2 The Generalized Beta Distribution of the Second Kind
qsr.gb2 Monetary Laeken Indicators under the GB2
rgb2 The Generalized Beta Distribution of the Second Kind
rmpg.gb2 Monetary Laeken Indicators under the GB2
saveplot Cumulative Distribution Plot and Kernel Density Plot for the Fitted GB2
scoresh.gb2 Full Log-likelihood of the GB2 Distribution
scoresp.gb2 Full Log-likelihood of the GB2 Distribution
sl.gb2 Moments and Other Properties of a GB2 Random Variable
Thomae Maximum Excess Representation of a Generalized Hypergeometric Function Using Thomae's Theorem
ULg Maximum Excess Representation of a Generalized Hypergeometric Function Using Thomae's Theorem
Varest Variance Estimation of the Parameters of the GB2 Distribution
varscore.gb2 Variance Estimation of the Parameters of the GB2 Distribution
veind.gb2 Variance Estimation of the Parameters of the GB2 Distribution
vepar.gb2 Variance Estimation of the Parameters of the GB2 Distribution
vl.gb2 Moments and Other Properties of a GB2 Random Variable