Author(s):
1. I. Elbatal:
Department of Mathematics and Statistics, Al Imam Mohammad Ibn Saud Islamic University (IMSIU), Saudi Arabia
2. Mohamed Zayed:
Department of Statistics, Mathematics and Insurance
Benha University, Egypt
3. Mahdi Rasekhi:
Department of Statistics, Malayer University
Malayer, Iran
4. Nadeem Shafique Butt:
Faculty of Medicine in Rabigh, King Abdulaziz University
Jeddah, Saudi Arabia
Abstract:
A new lifetime class of distributions is introduced by compounding the exponential Pareto and power series distributions. The compounding procedure follows the same set-up carried out by Adamidis and Loukas (1998). We obtain several properties of the new class including ordinary and conditional, mean deviations, Bonferroni and Lorenz curves, residual and reversed residual lifes and order statistics. The maximum likelihood estimation procedure is carried out to estimate the model parameters. We present three special models of the proposed class.
Page(s):
603-615
DOI:
DOI not available
Published:
Journal: Pakistan Journal of Statistics and Operation Research, Volume: 13, Issue: 3, Year: 2017
Keywords:
Moments
,
Maximum Likelihood Estimation
,
Power series distribution
,
Exponential Pareto Distribution
References:
References are not available for this document.
Citations
Citations are not available for this document.