EXPONENTIATED HALF-LOGISTIC LOMAX DISTRIBUTION WITH PROPERTIES AND APPLICATION
Author(s):
Farrukh Jamal1, Hesham Mohammed Reyad2, Soha Othman Ahmed3, Muhammad Akbar Ali Shah4, Emrah Altun5
1 Lecturer, Government SA Postgraduate College, Dera Nawab Sahib, Pakistan, Ph. +92-(0)91-(0)321-6802194, Fax: +92(0)0622272741, Email: drfarrukh1982@gmail.com.
2 Assistant Professor, College of Business and Economics, Qassim University, Kingdom of Saudi Arabia, Ph. +966(0)533808351, Fax: +966(0)163800050, Email: hesham_reyad@yahoo.com.
3 Assistant Professor, Department of Applied Statistics, Institute of Statistical Studies and Research, Cairo University, Egypt, Ph. +2(0)1289270947, Fax: +2(0)33358355, Email: Soha_othman@yahoo.com.
4 Associate Professor, Department of Statistics, Islamia University of Bahawalpur, Pakistan, Ph. +92(0)300-6844321, Fax: +92(0)62-9299454, Email: akbar.ali@iub.edu.pk.
5 Assistant Professor, Department of Statistics, Hacettepe University, Turkey, Ph. +9(0)378-5011000, Fax: +9(0)378-5011000, Email: emrahaltun@hacettepe.edu.tr.
https://doi.org/10.35453/NEDJR-ASCN-2018-0033
Volume:
XVI
No.
2
Pages:
1 - 11
Date:
March 2019
Abstract:
A new three-parameter continuous model called the exponentiated half-logistic Lomax distribution is introduced in this paper. Basic mathematical properties for the proposed model were investigated which include raw and incomplete moments, skewness, kurtosis, generating functions, Rényi entropy, Lorenz, Bonferroni and Zenga curves, probability weighted moment, stress strength model, order statistics, and record statistics. The model parameters were estimated by using the maximum likelihood criterion and the behaviours of these estimates were examined by conducting a simulation study. The applicability of the new model is illustrated by applying it on a real data set.