正指数分布族的推广及可靠性特性的估计

IF 1.6 Q1 STATISTICS & PROBABILITY

Statistica Pub Date : 2020-06-25 DOI:10.6092/ISSN.1973-2201/8638

Surinder Kumar, A. Chaturvedi

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引用次数: 1

摘要

考虑了梁（2008）提出的正指数分布族的一个推广。研究了它的性质。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）、最大似然估计量（MLES）和矩估计方法（MMES）。通过蒙特卡罗模拟比较了三种类型估计器的性能。还分析了现实生活中的数据集。

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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On a Generalization of the Positive Exponential Family of Distributions and the Estimation of Reliability Characteristics

A generalization of positive exponential family of distributions developed by Liang (2008) is taken into consideration. Its properties are studied. Two measures of reliability are discussed. Uniformly minimum variance unbiased estimators (UMVUES), maximum likelihood estimators (MLES) and method of moment estimators (MMES) are developed for the reliability functions. The performances of three types of estimators are compared through Monte Carlo simulation. Real life data sets are also analyzed.

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来源期刊

Statistica STATISTICS & PROBABILITY-

CiteScore

1.70

自引率

0.00%

发文量

审稿时长

10 weeks