Estimation procedures for reliability functions of Kumaraswamy-G Distributions based on Type II Censoring and the sampling scheme of Bartholomew

Q4 Mathematics

Statistics in Transition Pub Date : 2022-03-01 DOI:10.2478/stattrans-2022-0008

A. Chaturvedi, Surinder Kumar

引用次数: 0

Abstract

Abstract In this paper, we consider Kumaraswamy-G distributions and derive a Uniformly Minimum Variance Unbiased Estimator (UMVUE) and a Maximum Likelihood Estimator (MLE) of the two measures of reliability, namely R(t) = P(X > t) and P = P(X > Y) under Type II censoring scheme and sampling scheme of Bartholomew (1963). We also develop interval estimates of the reliability measures. A comparative study of the different methods of point estimation has been conducted on the basis of simulation studies. An analysis of a real data set has been presented for illustration purposes.

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基于II型Censoring和Bartholomew抽样方案的Kumaraswamy-G分布可靠性函数的估计方法

摘要本文考虑kumaraswami - g分布，在Bartholomew(1963)的II型滤波方案和抽样方案下，导出了R(t) = P(X >t)和P = P(X >y)两个信度测度的一致最小方差无偏估计量(UMVUE)和极大似然估计量(MLE)。我们还开发了可靠性度量的区间估计。在仿真研究的基础上，对不同的点估计方法进行了比较研究。为了说明问题，本文给出了对一个真实数据集的分析。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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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.