NED University Journal of Research
ISSN 2304-716X


E-ISSN 2706-5758


TOPP LEONE WEIBULL LOMAX DISTRIBUTION: PROPERTIES, REGRESSION MODEL AND APPLICATIONS

Author(s): Farrukh Jamal1, Hesham Mohammed Reyad2, Muhammad Arslan Nasir3, Christophe Chesneau4, Jamal Abdul Nasir5, Soha Othman Ahmed6
1 Assistant Professor, Department of Statistics, Islamia University of Bahawalpur, Pakistan, Ph. +92(0)321-6802194, Fax: +92(0)622272741, Email: drfarrukh1982@gmail.com.
2 Assistant Professor, Department of Statistics, College of Business and Economics, Qassim University, Kingdom of Saudi Arabia, Ph. +92(0)331-4094341, Email: hesham_reyad@yahoo.com.
3 Lecturer, Department of Statistics, Government SE College Bahawalpur, Pakistan, Ph. +92(0)3326364451, Fax: +92(0)629250136, Email: arslannasir147@gmail.com.
4 Associate Professor, Department of Mathematics, University of Caen, France, Ph. +92-303-3393926, Fax: +9255466, Email: christophe.chesneau@gmail.com.
5 Associate Professor, Department of Statistics, Government College University Lahore, Pakistan, Ph. +92(0)307-8026361, Fax: +92(0)622272741, Email: dr.jamal@gcu.edu.pk.
6 Assistant Professor, Department of Applied Statistics, Institute of Statistical Studies and Research, Cairo University, Egypt, Ph. +86-131-2159-7712, Fax: +86-10-68913478, Email: Soha_othman@yahoo.com.

https://doi.org/10.35453/NEDJR-ASCN-2019-0095


Volume: XVII

No. 4

Pages: 61-79

Date: September 2020

Abstract:
A new four-parameter lifetime distribution (called the Topp Leone Weibull-Lomax distribution) is proposed in this paper. Different mathematical properties of the proposed distribution were studied which include quantile function, ordinary and incomplete moments, probability weighted moment, conditional moments, order statistics, stochastic ordering, and stress-strength reliability parameter. The regression model and the residual analysis for the proposed model were also carried out. The model parameters were estimated by using the maximum likelihood criterion and the behaviour of these estimated parameters were examined by conducting a simulation study. The importance and flexibility of the proposed distribution have been proved empirically by using four separate data sets.