On Beta Exponentiated Moment Exponential Distribution with Mathematical Characteristics and Application to Engineering Sectors
Zafar Iqbal
Department of Statistics, Government College, Gujranwala, Pakistan.
Muhammad Rashad *
Superior University, Lahore, Pakistan.
Iram Rauf
National College of Business Administration & Economics, Lahore, Pakistan.
Muhammad Salman
Crop Reporting Service, Department of Agriculture, Pakistan.
*Author to whom correspondence should be addressed.
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.
Keywords: BEME distribution, EME distribution, Bonferroni curve, Lorenz curve, Renyi’s entropy, s-entropy