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• W3206983062 abstract "Abstract: The mathematical properties of a family of generalized beta dis-tribution, including beta-normal, skewed-t, log-F, beta-exponential, beta-Weibull distributions have recently been studied in several publications.This paper applies these distributions to the modeling of the size distribu-tion of income and computes the maximum likelihood estimation estimatesof parameters. Their performances are compared to the widely used gener-alized beta distributions of the first and second types in terms of measuresof goodness of fit.AMS 2000 subject classifications: Primary 62P20, 62F07.Keywords and phrases: generalized beta distribution, skewed-t distri-bution, log-F distribution, Weibull distribution. Contents1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12 The Models . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33 Maximum Likelihood Estimation . . . . . . . . . . . . . . . . . . . . . 64 Estimation and Comparisons . . . . . . . . . . . . . . . . . . . . . . . 7References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 111. IntroductionConsider the distribution function of a beta random variable given byG(y) = [B(α,β)]" @default.
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• W3206983062 modified "2023-09-26" @default.
• W3206983062 title "A Family of Generalized Beta Distributions for Income" @default.
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