2017•Pakistan Journal of Statistics and Operation ResearchOpen access

The Beta Generalized Inverse Weibull Geometric Distribution

Ibrahim Elbatal, Yehia M. El Gebaly, Essam A. Amin

Abstract

A new six-parameter distribution called the beta generalized inverse Weibull-geometric distribution is proposed.The new distribution is generated from the logit of a beta random variable and includes the generalized inverse Weibull geometric distribution.Various structural properties of the new distribution including explicit expressions for the moments, moment generating function, mean deviation are derived.The estimation of the model parameters is performed by maximum likelihood method.

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Key concepts: Mathematics, Weibull distribution, Generalized beta distribution, Inverse distribution, Beta distribution, Geometric distribution, Generalized integer gamma distribution, Inverse