New polynomial exponential distribution : properties and applications

Abdelfateh Beghriche, Halim Zeghdoudi, Vinoth Raman, Sarra Chouia

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.

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Year of publication:	2022
Authors:	Beghriche, Abdelfateh ; Zeghdoudi, Halim ; Raman, Vinoth ; Chouia, Sarra
Published in:	Statistics in transition : an international journal of the Polish Statistical Association and Statistics Poland. - Warszawa : GUS, ISSN 2450-0291, ZDB-ID 2235641-1. - Vol. 23.2022, 3, p. 95-112
Subject:	exponential distribution \| Xgamma distribution \| Lindley distribution \| quantile function stochastic ordering \| maximum-likelihood estimation \| XLindley distribution \| Statistische Verteilung \| Statistical distribution \| Wahrscheinlichkeitsrechnung \| Probability theory \| Schätztheorie \| Estimation theory \| Stochastischer Prozess \| Stochastic process \| Einkommensverteilung \| Income distribution