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Research Article Open access CC BY 4.0

On Beta Exponentiated Moment Exponential Distribution with Mathematical Characteristics and Application to Engineering Sectors

Zafar Iqbal, Muhammad Rashad, Iram Rauf, Muhammad Salman

Asian Journal of Probability and Statistics · pp. 35–57 · Published 13 Nov 2021

10.9734/ajpas/2021/v15i330356

Abstract

A new BEME distribution known as beta Exponentiated moment exponential (BEME) distribution is proposed. We provide here some shape properties, moments in the form of special functions, mean deviations of BEME distribution. We derive mathematical properties of the BEME distribution including the reliability measures, the Bonferroni and the Lorenz curves, rth order statistics, measures of uncertainty: the Shannon entropy measure and the s-entropy measure. The parameters of the BEME distribution are estimated by the method of maximum likelihood estimation and estimated non-linear equations for these estimates are presented. The application of BEME distribution is explored in three different fields of engineering.

BEME distribution EME distribution Bonferroni curve Lorenz curve Renyi’s entropy s-entropy

References (9)

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