Estimation of P(X>Y) for the Positive Exponential Family of Distributions

IF 1.6 Q1 STATISTICS & PROBABILITY Statistica Pub Date : 2018-10-02 DOI:10.6092/ISSN.1973-2201/7249
Ajit Chaturvedi, Ananya Malhotra
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引用次数: 2

Abstract

A positive exponential family of distributions is taken into consideration. Two measures of reliability are discussed. Uniformly minimum variance unbiased estimators (UMVUES) and maximum likelihood estimators (MLES) are developed for the reliability functions. In addition to the UMVUES and MLES, we derive the method of moment estimators (MOME). The performances of two types of estimators are compared through Monte Carlo simulation.
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正指数分布族P(X>Y)的估计
考虑了一个正指数分布族。讨论了可靠性的两个度量标准。建立了可靠度函数的一致最小方差无偏估计量(UMVUES)和最大似然估计量(MLES)。除了UMVUES和MLES之外,我们还推导了矩估计量(MOME)的方法。通过蒙特卡罗模拟比较了两种估计量的性能。
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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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