New polynomial exponential distribution: properties and applications

• Authors: Abdelfateh Beghriche , Halim Zeghdoudi , Vinoth Raman , Sarra Chouia

Abstracts

EN

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

EN

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

• Publisher: Główny Urząd Statystyczny
• Journal: Statistics in Transition new series
• Year: 2022
• Volume: 23
• Issue: 3
• Pages: 95-112

Dates

published

2022

Contributors

author

Abdelfateh Beghriche

• Department of Mathematics, Faculty of Exact Sciences, University the Brothers Mentouri Constantine 1, 25019, Algeria

author

Halim Zeghdoudi

• Laps laboratory, Badji-Mokhtar University, Box 12, Annaba, 23000, Algeria

• https://orcid.org/0000000247595529

author

Vinoth Raman

• Imam Abdulrahman Bin Faisal University, P.O. Box 1982, Dammam 31441, Kingdom of Saudi Arabia

• https://orcid.org/0000000238152312

author

Sarra Chouia

• Laps laboratory, Badji-Mokhtar University, Box 12, Annaba, 23000, Algeria

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Identifiers

DOI

10.2478/stattrans-2022-0032

Biblioteka Nauki

2108330