descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2017 English Publisher:Springer Science and Business Media LLCJournal:Journal of Statistical Theory and Applications, volume 16, page 18 (eissn: 1538-7887,

Authors: G. G. , Hamedani; V. , Mameli;

doi: 10.2991/jsta.2017.16.1.2

handle: 10278/3690307 , 11390/1173082

Characterizations of the Generalized Beta-generated family of distributions

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Abstract

Several characterizations of Generalized Beta-generated family of distributions, introduced by Alexander et al. (2012), are presented, giving special emphasis to the Kumaraswamy skew-normal distribution and the Beta skew-normal distribution, special cases of this family. These characterizations are based on: (i) a simple relationship between two truncated moments; (ii) the hazard function; (iii) a single function of the random variable; (iv) truncated moments of a single function of the n-th order statistic.

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Keywords

Generalized Beta-generated family, Beta skew-normal, Kumaraswamy skew-normal UNIVARIATE CONTINUOUS DISTRIBUTIONS, TRUNCATED MOMENTS, ORDER-STATISTICS, Generalized Beta-generated family; Beta skew-normal; Kumaraswamy skew-normal., Generalized Beta-generated family; Beta skew-normal; Kumaraswamy skew-normal UNIVARIATE CONTINUOUS DISTRIBUTIONS; TRUNCATED MOMENTS; ORDER-STATISTICS, Probabilities. Mathematical statistics, QA273-280

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