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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North West Univ, Subject Grp Stat, Potchefstroom, South AfricaNorth West Univ, Subject Grp Stat, Potchefstroom, South Africa
Visagie, I. J. H.
de Waal, D. J.
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Univ Pretoria, Dept Stat, Pretoria, South Africa
Univ Free State, Dept Math Stat & Actuarial Sci, Bloemfontein, South AfricaNorth West Univ, Subject Grp Stat, Potchefstroom, South Africa
de Waal, D. J.
Makgai, S. L.
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Univ Pretoria, Dept Stat, Pretoria, South AfricaNorth West Univ, Subject Grp Stat, Potchefstroom, South Africa
Makgai, S. L.
Bekker, A.
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Univ Pretoria, Dept Stat, Pretoria, South AfricaNorth West Univ, Subject Grp Stat, Potchefstroom, South Africa