Summary
A family of univariate distributions, generated by beta random variables, has been proposed by Jones [9]. This broad family of univariate distributions has received considerable attention in the recent literature since it possesses great flexibility while fitting symmetric as well as skewed models with varying tail weights. This paper introduces and studies a new broad class of univariate distributions which is defined by means of a generalized beta distribution and includes Jones family as a particular case. Some properties of the proposed class of distributions are discussed. These properties include its moments, generalized moments, representation and relationship with other distributions, expressions for Shannon entropy. Two examples are given and the paper is completed with some conclusions.
This paper is devoted to the memory of Maria Luisa Menéndez, an exceptional scientist and an outstanding human personality. The long standing friendship and research collaboration with Marisa it was an inexhaustible source of knowledge and of humaneness to me.
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Zografos, K. (2011). Generalized Beta Generated-II Distributions. In: Pardo, L., Balakrishnan, N., Gil, M.Á. (eds) Modern Mathematical Tools and Techniques in Capturing Complexity. Understanding Complex Systems. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-20853-9_11
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DOI: https://doi.org/10.1007/978-3-642-20853-9_11
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