Special Issue 2022 – Call for Papers
A New Role for Statistics: The Joint Special Issue of "Statistics in Transition New Series" (SiTns) and "Statystyka Ukraïny" (SU)
Abdelfateh Beghriche , Halim Zeghdoudi https://orcid.org/0000-0002-4759-5529 , Vinoth Raman https://orcid.org/0000-0002-3815-2312 , Sarra Chouia

© Abdelfateh Beghriche, Halim Zeghdoudi, Vinoth Raman, Sarra Chouia. Article available under the CC BYSA 4.0 licence

ARTICLE

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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

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