Generalized Marshall Olkin Inverse Lindley Distribution with Applications

作     者：Rashad Bantan Amal S.Hassan Mahmoud Elsehetry 

作者机构：Deanship of Scientific ResearchKing AbdulAziz UniversityJeddah21589Saudi Arabia Faculty of Graduate Studies for Statistical ResearchCairo UniversityCairo11865Egypt Deanship of Information TechnologyKing AbdulAziz UniversityJeddah21589Saudi Arabia 

出 版 物：《Computers, Materials & Continua》 (计算机、材料和连续体（英文）)

年 卷 期：2020年第64卷第9期

页      面：1505-1526页

核心收录：

学科分类：0831[工学-生物医学工程（可授工学、理学、医学学位）] 0808[工学-电气工程] 0809[工学-电子科学与技术（可授工学、理学学位）] 07[理学] 0805[工学-材料科学与工程（可授工学、理学学位）] 0701[理学-数学] 0812[工学-计算机科学与技术（可授工学、理学学位）] 0801[工学-力学（可授工学、理学学位）] 070101[理学-基础数学] 

基　　金：This project was funded by the Deanship of Scientific Research(DSR) King Abdulaziz University Jeddah under grant No.(DF-279-150-1441).The authors therefore gratefully acknowledge DSR technical and financial support 

主　　题：Generalized Marshal-Olkin family inverse Lindley distribution maximum likelihood estimation 

摘      要：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.