Open AccessHarris Extended Power Lomax Distribution: Properties, Inference and Applications
Author(s) -
Adebisi Ade Ogunde,
Victoria Eshomomoh Laoye,
Ogbonnaya Nzie Ezichi,
Kayode Balogun
Publication year - 2021
Publication title -
international journal of statistics and probability
Language(s) - English
Resource type - Journals
eISSN - 1927-7040
pISSN - 1927-7032
DOI - 10.5539/ijsp.v10n4p77
Subject(s) - lomax distribution , mathematics , lorenz curve , pareto distribution , monte carlo method , moment (physics) , moment generating function , probability density function , distribution (mathematics) , principle of maximum entropy , statistics , estimator , statistical physics , mathematical analysis , physics , gini coefficient , classical mechanics , economic inequality , inequality
In this work, we present a five-parameter life time distribution called Harris power Lomax (HPL) distribution which is obtained by convoluting the Harris-G distribution and the Power Lomax distribution. When compared to the existing distributions, the new distribution exhibits a very flexible probability functions; which may be increasing, decreasing, J, and reversed J shapes been observed for the probability density and hazard rate functions. The structural properties of the new distribution are studied in detail which includes: moments, incomplete moment, Renyl entropy, order statistics, Bonferroni curve, and Lorenz curve etc. The HPL distribution parameters are estimated by using the method of maximum likelihood. Monte Carlo simulation was carried out to investigate the performance of MLEs. Aircraft wind shield data and Glass fibre data applications demonstrate the applicability of the proposed model.