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The Marshall-Olkin Modified Lindley Distribution: Properties and Applications

Jiju Gillariose, Lishamol Tomy, Farrukh Jamal, Christophe Chesneau

2020Journal of Reliability and Statistical Studies13 citationsDOIOpen Access PDF

Abstract

This article is devoted to a new Marshall-Olkin distribution by using a recent modification of the Lindley distribution. Mathematical features of the new model are described. Utilizing maximum likelihood method, the parameters of the new model are estimated. Performance of the estimation approach is discussed by means of a simulation procedure. Moreover, applications of the new distribution are presented which reveal its superiority over other three competing Marshall-Olkin extended distributions of the literature.

Topics & Concepts

Distribution (mathematics)Maximum likelihoodApplied mathematicsMathematicsComputer scienceStatisticsMathematical analysisStatistical Distribution Estimation and ApplicationsProbabilistic and Robust Engineering DesignHydrology and Drought Analysis
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