Open Access
ARTICLE
Generalized Marshall Olkin Inverse Lindley Distribution with Applications
Rashad Bantan1, Amal S. Hassan2, Mahmoud Elsehetry3, *
1 Deanship of Scientific Research, King AbdulAziz University, Jeddah, 21589, Saudi Arabia.
2 Faculty of Graduate Studies for Statistical Research, Cairo University, Cairo, 11865, Egypt.
3 Deanship of Information Technology, King AbdulAziz University, Jeddah, 21589, Saudi Arabia.
* Corresponding Author: Mahmoud Elsehetry. Email: .
Computers, Materials & Continua 2020, 64(3), 1505-1526. https://doi.org/10.32604/cmc.2020.010887
Received 03 April 2020; Accepted 30 April 2020; Issue published 30 June 2020
Abstract
In this article, a new generalization of the inverse Lindley distribution is
introduced based on Marshall-Olkin family of distributions. We call the new distribution,
the generalized Marshall-Olkin inverse Lindley distribution which offers more flexibility
for modeling lifetime data. The new distribution includes the inverse Lindley and the
Marshall-Olkin inverse Lindley as special distributions. Essential properties of the
generalized Marshall-Olkin inverse Lindley distribution are discussed and investigated
including, quantile function, ordinary moments, incomplete moments, moments of
residual and stochastic ordering. Maximum likelihood method of estimation is considered
under complete, Type-I censoring and Type-II censoring. Maximum likelihood estimators
as well as approximate confidence intervals of the population parameters are discussed.
A comprehensive simulation study is done to assess the performance of estimates based
on their biases and mean square errors. The notability of the generalized Marshall-Olkin
inverse Lindley model is clarified by means of two real data sets. The results showed the
fact that the generalized Marshall-Olkin inverse Lindley model can produce better fits
than power Lindley, extended Lindley, alpha power transmuted Lindley, alpha power
extended exponential and Lindley distributions.
Keywords
Cite This Article
R. Bantan, A. S. Hassan and M. Elsehetry, "Generalized marshall olkin inverse lindley distribution with applications,"
Computers, Materials & Continua, vol. 64, no.3, pp. 1505–1526, 2020.
Citations