Two generalized beta distributions

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Abstract:

Two new distributions which contain several of the known generalizations of the beta distribution as particular cases are introduced. Various structural properties of each distribution are derived, including its cdf, moment generating function, characteristic function, moments, mean deviation about the mean, mean deviation about the median, entropy, asymptotic distribution of extreme order statistics, maximum-likelihood estimates and the Fisher information matrix.

Document Type: Research Article

DOI: http://dx.doi.org/10.1080/00036840500428062

Affiliations: 1: Department of Statistics, University of Nebraska, Lincoln, NE, USA 2: Department of Engineering, Management and Systems Engineering, The George Washington University, Washington, DC, USA

Publication date: August 1, 2007

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