Statistical Inference for the Reliability Functions of a Family of Lifetime Distributions based on Progressive Type II Right Censoring

IF 1.6 Q1 STATISTICS & PROBABILITY
Ajit Chaturvedi, Narendra Kumar, Kapil Kumar
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引用次数: 10

Abstract

In this article, a general family of lifetime distributions is considered under progressive type II right censoring. The classical point estimation and testing procedures are developed for reliability function and stress-strength reliability. The uniformly minimum variance unbiased, maximum likelihood and invariantly optimal estimators are considered. Testing procedures are developed for the hypotheses related to scale parameter, reliability and stress-strength reliability functions. A Monte Carlo simulation study is performed for comparison of various estimators developed. Finally, the use of proposed estimators is shown in an illustrative example.
基于渐进式ⅱ型右截法的寿命分布族可靠性函数的统计推断
在本文中,考虑了一个在渐进II型右删失下的寿命分布的一般族。建立了可靠性函数和应力强度可靠性的经典点估计和测试程序。考虑了一致最小方差无偏估计、最大似然估计和不变最优估计。针对与标度参数、可靠性和应力强度可靠性函数相关的假设,制定了测试程序。为了比较所开发的各种估计量,进行了蒙特卡罗模拟研究。最后,在一个示例中展示了所提出的估计量的使用。
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
Statistica
Statistica STATISTICS & PROBABILITY-
CiteScore
1.70
自引率
0.00%
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0
审稿时长
10 weeks
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