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Generalized Log-Lindley distribution and its applications in stochastic comparison

Abstract In this paper, a new distribution, generalized Log-Lindley distribution, which supports on (0, 1) is introduced as an alternative to the beta distribution. We show the new proposed distribution… Click to show full abstract

Abstract In this paper, a new distribution, generalized Log-Lindley distribution, which supports on (0, 1) is introduced as an alternative to the beta distribution. We show the new proposed distribution is also an extension of Log-Lindley distribution. Stochastic comparison for two parallel systems with generalized Log-Lindley distributed components is considered. Our results extend some existing results in the literature.

Keywords: lindley distribution; generalized log; distribution; log lindley

Journal Title: Communications in Statistics - Theory and Methods
Year Published: 2019

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