基于累积残差Renyi熵的平均残差寿命递减检验

Q3 Mathematics

Stochastics and Quality Control Pub Date : 2022-03-26 DOI:10.1515/eqc-2021-0051

V. Zardasht

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引用次数: 0

摘要

摘要提出了一种新的基于α阶累积残差Renyi熵的平均剩余寿命备选递减(递增)指数性检验方法。给出了检验统计量的精确分布和渐近分布。通过仿真研究，将所提出的检验统计量的性能与文献中其他构造的检验进行了比较。最后给出了数值算例。

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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Test for Decreasing Mean Residual Lifetimes Based on the Cumulative Residual Renyi’s Entropy

Abstract We introduce a new test for exponentiality against decreasing (increasing) mean residual life alternatives based on a cumulative residual Renyi’s entropy of order α. The exact and asymptotic distributions of the test statistic are given. The performance of the proposed test statistic is compared with other constructed tests in the literature using a simulation study. Finally, some numerical examples illustrating the theory are given.

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来源期刊

Stochastics and Quality Control Mathematics-Discrete Mathematics and Combinatorics

CiteScore

1.10

自引率

0.00%

发文量