New polynomial exponential distribution: properties and applications-Reference-Cited by-同舟云学术

New polynomial exponential distribution: properties and applications

Published:2022-09-01 Issue:3 Volume:23 Page:95-112
ISSN:2450-0291
Container-title:Statistics in Transition New Series
language:en
Short-container-title:

Author:

Beghriche Abdelfateh¹,Zeghdoudi Halim²^ORCID,Raman Vinoth³^ORCID,Chouia Sarra²

Affiliation:

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

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

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

Abstract

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.

Publisher

Polskie Towarzystwo Statystyczne

Subject

Statistics, Probability and Uncertainty,Statistics and Probability

Link

https://www.sciendo.com/pdf/10.2478/stattrans-2022-0032

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