Open AccessGeneralized Bur X Lomax Distribution: Properties, Inference and Application to Aircraft Data
Author(s) -
Ogunde Adebisi Ade,
Oseghale Innocent Osezuwa,
Oyebimpe Emmanuel Adeniji,
Olalude Adelekan Gbenga
Publication year - 2022
Publication title -
journal of mathematics research
Language(s) - English
Resource type - Journals
eISSN - 1916-9809
pISSN - 1916-9795
DOI - 10.5539/jmr.v14n2p52
Subject(s) - lomax distribution , mathematics , quantile , order statistic , quantile function , moment generating function , statistics , moment (physics) , distribution (mathematics) , entropy (arrow of time) , probability density function , maximum likelihood , mathematical analysis , physics , classical mechanics , quantum mechanics
We proposed and studied a flexible distribution with wider applications called Generalized Burr X Lomax (GBX-L) distribution. Some well-known mathematical properties such as ordinary moments, incomplete moment probability weighted moments, stress-strength model, mean residual lifetime, characteristic function, quantile function, order statistics and Renyi entropy of GBX-L distribution are investigated. The expressions of order statistics are derived. Parameters of the derived distribution are obtained using the maximum likelihood method and simulation studied is carried out to examine the validity of the method of estimation. The applicability of the proposed distribution is exemplified using aircraft data.