Open AccessA New Compound Version of the Generalized Lomax Distribution for Modeling Failure and Service Times
Author(s) -
Saiful İslam Ansari,
Hoda Rezk,
Haitham M. Yousof
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.v16i1.2851
Subject(s) - lomax distribution , mathematics , quantile , moment generating function , moment (physics) , quantile function , residual , flexibility (engineering) , distribution (mathematics) , extension (predicate logic) , statistics , probability distribution , maximum likelihood , computer science , mathematical analysis , algorithm , physics , classical mechanics , programming language
The main goal of this article is to introduce a new extension of the continuous Lomax distribution with a strong physical motivation. Some of its statistical properties such as moments, incomplete moments, moment generating function, quantile function, random number generation, quantile spread ordering and moment of the reversed residual life are derived. Two applications are provided to illustrate the importance and flexibility of the new model.