Rashad Bantan1, Amal S. Hassan2, Mahmoud Elsehetry3, *
CMC-Computers, Materials & Continua, Vol.64, No.3, pp. 1505-1526, 2020, DOI:10.32604/cmc.2020.010887
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… More >
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