New polynomial exponential distribution: properties and applications

Beghriche Abdelfateh (), Zeghdoudi Halim (), Raman Vinoth () and Chouia Sarra ()
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Beghriche Abdelfateh: Department of Mathematics, Faculty of Exact Sciences, University the Brothers Mentouri Constantine 1, 25019, Algeria .
Zeghdoudi Halim: Laps laboratory, Badji-Mokhtar University, Box 12, Annaba, 23000, Algeria .
Raman Vinoth: Imam Abdulrahman Bin Faisal University, P.O. Box 1982, Dammam 31441, Kingdom of Saudi Arabia
Chouia Sarra: Laps laboratory, Badji-Mokhtar University, Box 12, Annaba, 23000, Algeria .

Statistics in Transition New Series, 2022, vol. 23, issue 3, 95-112

Abstract: The study describes the general concept of the XLindley distribution. Forms of density and hazard rate functions are investigated. Moreover, precise formulations for several numerical properties of distributions are derived. Extreme order statistics are established using stochastic ordering, the moment method, the maximum likelihood estimation, entropies and the limiting distribution. We demonstrate the new family’s adaptability by applying it to a variety of real-world datasets.

Keywords: exponential distribution; Xgamma distribution; Lindley distribution; quantile function stochastic ordering; maximum-likelihood estimation; XLindley distribution (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:vrs:stintr:v:23:y:2022:i:3:p:95-112:n:1

DOI: 10.2478/stattrans-2022-0032

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