三参数毛刺分布的可靠性函数估计与测试方法

IF 1.6 Q1 STATISTICS & PROBABILITY Statistica Pub Date : 2018-01-11 DOI:10.6092/ISSN.1973-2201/6965
Ajit Chaturvedi, Shantanu Vyas
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引用次数: 6

摘要

考虑三参数毛刺分布。讨论了可靠性的两种度量方法。在II型和I型审查下,对参数和可靠性函数开发了点和区间估计程序。导出了一致最小方差无偏估计和极大似然估计两类点估计。得到了渐近方差-协方差矩阵和置信区间。还为各种假设制定了测试程序。
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Estimation and Testing Procedures for the Reliability Functions of Three Parameter Burr Distribution under Censorings
Athree parameter Burr distribution is considered. Two measures of reliability are discussed. Point and interval estimation procedures are developed for the parameters, and reliability functions under type II and type I censoring. Two types of point estimators namely- uniformly minimum variance unbiased estimators (UMVUES) and maximum likelihood estimators (MLES) are derived. Asymptotic variance-covariance matrix and confidence intervals for MLE’s are obtained. Testing procedures are also developed for various hypotheses.
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来源期刊
Statistica
Statistica STATISTICS & PROBABILITY-
CiteScore
1.70
自引率
0.00%
发文量
0
审稿时长
10 weeks
期刊最新文献
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