Marshall–Olkin gamma–Weibull distribution with applications

Abdus Saboor and Tibor K. Pogány

Communications in Statistics - Theory and Methods, 2016, vol. 45, issue 5, 1550-1563

Abstract: A Marshall–Olkin variant of the Provost type gamma–Weibull probability distribution is being introduced in this paper. Some of its statistical functions and numerical characteristics among others characteristics function, moment generalizing function, central moments of real order are derived in the computational series expansion form and various illustrative special cases are discussed. This density function is utilized to model two real data sets. The new distribution provides a better fit than related distributions as measured by the Anderson–Darling and Cramér–von Mises statistics. The proposed distribution could find applications for instance in the physical and biological sciences, hydrology, medicine, meteorology, engineering, etc.

Date: 2016
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DOI: 10.1080/03610926.2014.953694

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