A NEW AND UNIFIED APPROACH IN GENERALIZING THE LINDLEY’S DISTRIBUTION WITH APPLICATIONS

Bouchahed Lahsen () and Zeghdoudi Halim ()
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Bouchahed Lahsen: LaPS laboratory, Badji-Mokhtar University, Box 12, Annaba, 23000, ALGERIA
Zeghdoudi Halim: LaPS laboratory, Badji-Mokhtar University, Box 12, Annaba, 23000, ALGERIA

Statistics in Transition New Series, 2018, vol. 19, issue 1, 61-74

Abstract: This paper proposes a new family of continuous distributions with one extra shape parameter called the generalized Zeghdoudi distributions (GZD). We investigate the shapes of the density and hazard rate function. We derive explicit expressions for some of its mathematical quantities. Various statistical properties like stochastic ordering, moment method, maximum likelihood estimation, entropies and limiting distribution of extreme order statistics are established. We prove the flexibility of the new family by means of applications to several real data sets.

Keywords: Lindley distribution; exponential distribution; Gamma distribution; stochastic ordering; maximum-likelihood estimation. (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:vrs:stintr:v:19:y:2018:i:1:p:61-74:n:9

DOI: 10.21307/stattrans-2018-004

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