Cumulative entropy of progressively type-II censored order statistics and associated optimal life testing-plans

IF 1.2 4区数学 Q2 STATISTICS & PROBABILITY

Statistics Pub Date : 2023-01-02 DOI:10.1080/02331888.2023.2168666

Siddhartha Chakraborty, Ritwik Bhattacharya, B. Pradhan

引用次数: 1

Abstract

In this paper, joint cumulative entropy of progressive type-II censored order statistics is obtained in terms of reversed hazard rate function. Also, entropy and Kullback–Leibler information for progressive type-II censored order statistics are expressed using reversed hazard rate. Optimal life-testing plans based on cumulative entropy are proposed. Finally, cumulative entropy-based optimal designs using compound optimal design strategy for the life-testing experiment under progressive type-II censoring are developed. A real data set is analysed for illustration.

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渐进式ii型截尾序统计量的累积熵与相关的最优寿命试验计划

本文用逆向风险率函数的形式，得到了渐进式ii型截尾序统计量的联合累积熵。此外，熵和Kullback-Leibler信息的渐进式ii型删节序统计量表示为反向风险率。提出了基于累积熵的最优寿命试验方案。最后，采用复合优化设计策略，建立了基于累积熵的渐进式ii型截尾寿命试验优化设计。为了说明问题，本文分析了一个真实的数据集。

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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来源期刊

Statistics 数学-统计学与概率论

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

12 months

期刊介绍： Statistics publishes papers developing and analysing new methods for any active field of statistics, motivated by real-life problems. Papers submitted for consideration should provide interesting and novel contributions to statistical theory and its applications with rigorous mathematical results and proofs. Moreover, numerical simulations and application to real data sets can improve the quality of papers, and should be included where appropriate. Statistics does not publish papers which represent mere application of existing procedures to case studies, and papers are required to contain methodological or theoretical innovation. Topics of interest include, for example, nonparametric statistics, time series, analysis of topological or functional data. Furthermore the journal also welcomes submissions in the field of theoretical econometrics and its links to mathematical statistics.