NED University Journal of Research
ISSN 2304-716X
E-ISSN 2706-5758




MATHEMATICAL PROPERTIES AND APPLICATIONS OF MINIMUM GUMBEL BURR DISTRIBUTION

Author(s): Farrukh Jamal1, Hesham Mohammed Reyad2, Soha Othman Ahmed3, Syed Muhammad Akbar Ali Shah4
1 Lecturer, Government SA Postgraduate College, Dera Nawab Sahib, Pakistan, Ph. +92(0)321-6802194, Fax: +92(0)91-622272741, 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.

https://doi.org/10.35453/NEDJR-ASCN-2018-0063


Issue: XVII

Volume 2

Pages: 1 - 14

Date: March 2020

Abstract:
This paper presents the details of a proposed continuous model for the minimum Gumbel Burr distribution which is based on four different parameters. The model is obtained by compounding the Gumbel type-II and Burr-XII distributions. Basic mathematical properties of the new distribution were studied including the quantile function, ordinary and incomplete moments, moment generating function, order statistics, Rényi entropy, stress-strength model and stochastic ordering. The parameters of the proposed distribution are estimated using the maximum likelihood method. A Monte Carlo simulation was presented to examine the behaviour of the parameter estimates. The flexibility of the proposed model was assessed by means of three applications.

Full Paper | Close Window      X |