New polynomial exponential distribution: properties and applications

Q4 Mathematics

Statistics in Transition Pub Date : 2022-09-01 DOI:10.2478/stattrans-2022-0032

Abdelfateh Beghriche, Halim zeghdoudi, Vinoth Raman, Sarra Chouia

引用次数: 3

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.

查看原文本刊更多论文

新的多项式指数分布：性质和应用

摘要该研究描述了XLindley分布的一般概念。研究了密度函数和危险率函数的形式。此外，还导出了分布的几个数值性质的精确公式。使用随机排序、矩量法、最大似然估计、熵和极限分布建立了极值阶统计量。我们通过将新家族应用于各种真实世界的数据集来展示其适应性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Statistics in Transition Decision Sciences-Statistics, Probability and Uncertainty

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

9 weeks

期刊介绍： Statistics in Transition (SiT) is an international journal published jointly by the Polish Statistical Association (PTS) and the Central Statistical Office of Poland (CSO/GUS), which sponsors this publication. Launched in 1993, it was issued twice a year until 2006; since then it appears - under a slightly changed title, Statistics in Transition new series - three times a year; and after 2013 as a regular quarterly journal." The journal provides a forum for exchange of ideas and experience amongst members of international community of statisticians, data producers and users, including researchers, teachers, policy makers and the general public. Its initially dominating focus on statistical issues pertinent to transition from centrally planned to a market-oriented economy has gradually been extended to embracing statistical problems related to development and modernization of the system of public (official) statistics, in general.