基于II型截尾的指数分布可靠性测度的初步检验估计和初步检验置信区间的建立

IF 1.6 Q1 STATISTICS & PROBABILITY
Ajit Chaturvedi, Anshika Bhatnagar
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引用次数: 0

摘要

本文提出了模型参数提高到一定幂的初步检验估计量(PTEs),σp,以及可靠性的两个度量,即可靠性函数R(t)和指数分布的项目或系统的可靠性p,在II型截尾下,基于它们的一致最小方差无偏估计量(UMVUE)和最大似然估计量(MLE)。基于σ、R(t)和P的UMVUE和MLE,还为它们开发了初步测试置信区间(PTCI)。此外,本文还导出了模型参数σ的PTCI覆盖概率的表达式。通过对模拟数值数据的分析,也确定了所提出的PTE的优点。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Establishment of Preliminary Test Estimators and Preliminary Test Confidence Intervals for Measures of Reliability of an Exponentiated Distribution Based on Type-II Censoring
The present paper has developed the preliminary test estimators (PTEs) of the model parameter raised to certain power, σ p , and the two measures of reliability, namely, the reliability function, R(t ) and the reliability of an item or a system, P of an exponentiated distribution, under Type- II censoring, based on their uniformly minimum variance unbiased estimators (UMVUEs) and maximum likelihood estimators (MLEs). The preliminary test confidence intervals (PTCIs) are also developed for σ, R(t ) and P based on their UMVUEs and MLEs. Further, the paper has derived expression for coverage probability of the PTCI of the model parameter, σ. Merits of the proposed PTEs are also established through analysis of simulated numerical data.
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来源期刊
Statistica
Statistica STATISTICS & PROBABILITY-
CiteScore
1.70
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0.00%
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10 weeks
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