Artikel

New polynomial exponential distribution: Properties and applications

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.

Language
Englisch

Bibliographic citation
Journal: Statistics in Transition new series (SiTns) ; ISSN: 2450-0291 ; Volume: 23 ; Year: 2022 ; Issue: 3 ; Pages: 95-112 ; Warsaw: Sciendo

Subject
exponential distribution
Xgamma distribution
Lindley distribution
quantile function stochastic ordering
maximum-likelihood estimation
XLindley distribution

Event
Geistige Schöpfung
(who)
Beghriche, Abdelfateh
Zeghdoudi, Halim
Raman, Vinoth
Chouia, Sarra
Event
Veröffentlichung
(who)
Sciendo
(where)
Warsaw
(when)
2022

DOI
doi:10.2478/stattrans-2022-0032
Handle
Last update
10.03.2025, 11:43 AM CET

Data provider

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Object type

  • Artikel

Associated

  • Beghriche, Abdelfateh
  • Zeghdoudi, Halim
  • Raman, Vinoth
  • Chouia, Sarra
  • Sciendo

Time of origin

  • 2022

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