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Research Article Open access CC BY 4.0

The Characterization of the Cubic Rank Inverse Weibull Distribution

Adebisi Ade Ogunde, Angela Unna Chukwu, Samuel obi-Nnamdi Agwuegbo

Asian Research Journal of Mathematics · pp. 20–33 · Published 29 May 2020

10.9734/arjom/2020/v16i730200

Abstract

This work provides a new statistical distribution named Cubic rank transmuted Inverse Weibull distribution which was developed using the cubic transmutation map. Various statistical properties of the new distribution which includes: hazard function, moments, moment generating function, skewness, kurtosis, Renyl entropy and the order statistics were studied. A maximum likelihood estimation method was used in estimating the parameters of the distribution. Applications to real data set show the tractability of the distribution over other distributions and its sub-model.

Cubic transmutation map Renyl entropy moment kurtosis order statistics

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