Open AccessThe Equilibrium Renewal Burr XII Distribution: Properties and Applications
Author(s) -
Abdulzeid Yen Anafo,
Lewis Brew,
Suleman Nasiru
Publication year - 2021
Publication title -
asian journal of probability and statistics
Language(s) - English
Resource type - Journals
ISSN - 2582-0230
DOI - 10.9734/ajpas/2021/v15i230349
Subject(s) - moment (physics) , moment generating function , mathematics , statistics , lorenz curve , order statistic , distribution (mathematics) , function (biology) , distribution function , probability density function , hazard , statistical physics , econometrics , mathematical analysis , physics , thermodynamics , gini coefficient , classical mechanics , evolutionary biology , economic inequality , inequality , biology , chemistry , organic chemistry
In this paper, we propose a three-parameter probability distribution called equilibrium renewal Burr XII distribution using the equilibrium renewal process. The statistical properties of the distribution such as moment, mean deviation, order statistics, moment generating function, Beforroni and Lorenz curve, survival function, reversed hazard rate and hazard function were derived. The method of maximum likelihood is used for estimating the distribution's parameters and a simulation study is conducted to assess the performance of the parameters. We provide two applications in eld of health to demonstrate the importance of the proposed distribution.