Start Submission Become a Reviewer

Reading: Bivariate Gompertz generator of distributions: statistical properties and estimation with ap...

Download

A- A+
Alt. Display

Research Articles

Bivariate Gompertz generator of distributions: statistical properties and estimation with application to model football data

Authors:

MS Eliwa ,

College of Science, Majmaah University, Majmaah 11952, Saudi Arabia., SA
About MS
Department of Mathematics
X close

ZA Alhussain,

College of Science, Majmaah University, Majmaah 11952, Saudi Arabia., SA
About ZA
Department of Mathematics
X close

EA Ahmed,

Taibah University, Community College of Khyber 41941, Saudi Arabia, SA
About EA
Department of Administrative and Financial Sciences
X close

MM Salah,

College of Engineering, Majmaah University, Majmaah 11952, Saudi Arabia., SA
X close

HH Ahmed,

Basic Science Department, College of Science, King Faisal University, Saudi Arabia., SA
About HH
Basic Science Department
X close

M El- Morshedy

College of Sciences and Humanities Studies in Al-Kharj, Prince Sattam Bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia, SA
About M
Department of Mathematics
X close

Abstract

In this paper, the bivariate extension of the so called Gompertz-G family was introduced and studied in detail. Marshall and Olkin shock model was used to build the proposed bivariate family. The new family was constructed from three independent Gompertz-H families using a minimisation process. Some of its statistical properties such as joint probability density function, coefficient of median correlation, moments, product moment, covariance, conditional probability density function, joint reliability function, stress-strength reliability and joint reversed (hazard) rate function were derived. After introducing the general class, three special models of the new family were discussed. Maximum likelihood method was used to estimate the family parameters. A simulation study was carried out to examine the bias and mean square error of the maximum likelihood estimators. Finally, the importance of the proposed bivariate family was illustrated by means of real dataset, and it was found that the proposed model provides better fit than other well-known models in the statistical literature such as bivariate Gompertz, bivariate generalised Gompertz, bivariate Gumbel Gompertz, bivariate Burr X Gompertz and bivariate exponentiated Weibull-Gomperz.

How to Cite: Eliwa, M., Alhussain, Z., Ahmed, E., Salah, M., Ahmed, H. and El- Morshedy, M., 2020. Bivariate Gompertz generator of distributions: statistical properties and estimation with application to model football data. Journal of the National Science Foundation of Sri Lanka, 48(2).
Published on 21 Jul 2020.
Peer Reviewed

Downloads

comments powered by Disqus