Characterizations of Certain Recently Introduced Distributions

Various characterizations of the Beta Weibull Geometric distribution of Bidram et al. (2011), the New Generalized Exponential distribution of Bidram et al. (2012), and the Gamma Exponentiated Weibull distribution of Pinho et al. (2012) are presented. These characterizations are based on: (i) a simpl...

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Bibliographic Details
Published in:	Journal of statistical theory and applications Vol. 12; no. 1; pp. 11 - 20
Main Author:	Hamedani, G. G.
Format:	Journal Article
Language:	English
Published:	Dordrecht Springer Netherlands 01-05-2013 Springer Nature B.V Springer
Subjects:	Beta exponential distribution; Beta Weibull geometric distribution; Gamma exponentiated distribution; Gamma geometric distribution; Generalized exponential distribution; Weibull geometric distribution Probability distribution functions Research Article Statistical analysis Weibull distribution Weibull geometric distribution Beta exponential distribution Beta Weibull geometric distribution Gamma exponentiated distribution Gamma geometric distribution Generalized exponential distribution
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Summary:	Various characterizations of the Beta Weibull Geometric distribution of Bidram et al. (2011), the New Generalized Exponential distribution of Bidram et al. (2012), and the Gamma Exponentiated Weibull distribution of Pinho et al. (2012) are presented. These characterizations are based on: (i) a simple relationship between two truncated moments (ii) certain functions of the n th order statistic, and (iii) certain functions of the 1 st order statistics.
ISSN:	1538-7887 2214-1766 1538-7887
DOI:	10.2991/jsta.2013.12.1.2