Type II Topp-Leone Frechet distribution: properties and applications

Q4 Mathematics

Statistics in Transition Pub Date : 2021-12-01 DOI:10.21307/stattrans-2021-042

R. Shanker, Umme Habibah Rahman

引用次数: 1

Abstract

Abstract The paper focuses on type II Topp-Leone Frechet distribution. Its properties including hazard rate function, reverse hazard rate function, Mills ratio, quantile function and order statistics have been studied. The maximum likelihood estimation used for estimating the parameters of the proposed distribution has been explained and expressions for the Fisher information matrix and confidence intervals have been provided. The paper discusses the applications of the distribution for modeling several datasets relating to temperature. Finally, the goodness of fit of the proposed distribution has been compared with that of the Frechet distribution.

查看原文本刊更多论文

II型Topp-Leone Frechet分布：性质和应用

摘要本文重点研究了第二类Topp-Leone Frechet分布。研究了它的性质，包括危险率函数、反向危险率函数，米尔斯比，分位数函数和次序统计量。已经解释了用于估计所提出的分布的参数的最大似然估计，并且已经提供了Fisher信息矩阵和置信区间的表达式。本文讨论了分布在几个与温度有关的数据集建模中的应用。最后，将所提出的分布与Frechet分布的拟合优度进行了比较。

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.