Open AccessExponentiated Exponential-Exponentiated Weibull Linear Mixed Distribution: Properties and Applications
Author(s) -
Salman Abbas,
Muhammad Mohsin,
Saman Hanif Shahbaz,
Muhammad Shahbaz
Publication year - 2020
Publication title -
pakistan journal of statistics and operation research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.354
H-Index - 15
eISSN - 2220-5810
pISSN - 1816-2711
DOI - 10.18187/pjsor.v16i3.3415
Subject(s) - kurtosis , mathematics , exponentiated weibull distribution , weibull distribution , exponential function , statistics , skewness , exponential distribution , mathematical analysis
In this article we have discussed linear mixing of two exponentiated distribution. The proposed model is named as exponentiated exponential-exponentiated Weibull (EE-EW) distribution. The proposed distribution generalize several existing distributions. We study several characteristics of the proposed distribution including moment, moment generating function, reliability and hazard rate functions. An empirical study is presented for mean, variance, coefficient of skewness, and coefficient of kurtosis. The method of maximum likelihood is used for the estimation of parameters. For the illustration purpose, we have use two real-life data set for application. The results justify the capability of the new model.