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Generalized Marshall Olkin inverse lindley distribution with Applications

Computers, Materials & Continua 2020年第9期64卷 1505-1526页

作者： Rashad Bantan Amal S.Hassan Mahmoud Elsehetry Deanship of Scientific Research King AbdulAziz UniversityJeddah21589Saudi Arabia Faculty of Graduate Studies for Statistical Research Cairo UniversityCairo11865Egypt Deanship of Information Technology King AbdulAziz UniversityJeddah21589Saudi Arabia

In this article,a new generalization of the inverse lindley distribution is introduced based on Marshall-Olkin family of *** call the new distribution,the generalized Marshall-Olkin inverse lindley distribution which offers more flexibility for modeling lifetime *** new distribution includes the inverse lindley and the Marshall-Olkin inverse lindley as special *** 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 *** likelihood method of estimation is considered under complete,Type-I censoring and Type-II *** 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 *** notability of the generalized Marshall-Olkin inverse lindley model is clarified by means of two real data *** 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.

关键词： Generalized Marshal-Olkin family inverse lindley distribution maximum likelihood estimation

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Modeling Reliability Engineering Data Using Scale-Invariant Quasi-inverse lindley Model

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Computers, Materials & Continua 2022年第7期72卷 1847-1860页

作者： Mohamed Kayid Tareq Alsayed Department of Statistics and Operations Research College of ScienceKing Saud UniversityRiyadhSaudi Arabia

An important property that any lifetime model should satisfy is scale *** this paper,a new scale-invariant quasi-inverse lindley(QIL)model is presented and *** basic properties,including moments,quantiles,skewness,kurtosis,and Lorenz curve,have been *** addition,the well-known dynamic reliability measures,such as failure rate(FR),reversed failure rate(RFR),mean residual life(MRL),mean inactivity time(MIT),quantile residual life(QRL),and quantile inactivity time(QIT)are *** FR function considers the decreasing or upside-down bathtub-shaped,and the MRL and median residual lifetime may have a bathtub-shaped *** parameters of the model are estimated by applying the maximum likelihood method and the expectation-maximization(EM)*** EM algorithm is an iterative method suitable for models with a latent variable,for example,when we have mixture or competing risk models.A simulation study is then conducted to examine the consistency and efficiency of the estimators and compare *** simulation study shows that the EM approach provides a better estimation of the ***,the proposed model is fitted to a reliability engineering data set along with some *** Akaike information criterion(AIC),Kolmogorov-Smirnov(K-S),Cramer-von Mises(CVM),and Anderson Darling(AD)statistics are used to compare the considered models.

关键词： inverse lindley distribution reliability measures maximum likelihood estimation EM algorithm

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