区间删失下恒定应力部分加速寿命试验的统计分析

doi:10.13371/j.cnki.chin.q.j.m.2019.01.001

数学季刊 ›› 2019, Vol. 34 ›› Issue (1): 1-13.doi: 10.13371/j.cnki.chin.q.j.m.2019.01.001

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区间删失下恒定应力部分加速寿命试验的统计分析

School of Mathematics and Physics, Jingchu University of Technology.College of Applied Sciences,Beijing University of Technology

接受日期:2018-05-08 出版日期:2019-03-30 发布日期:2020-10-06
作者简介:LONG Bing(1973-),male, native of Jingmen, Hubei, an associate professor of Jingchu University of Technology, engages in reliability and application; ZHANG Zhong-zhan(1963-), male, native of Cangzhou,Hebei, a professor of Beijing University of Technology, engages in application of probability and statistics.
基金资助:
Supported by National Natural Science Foundation of China(11271039)；

Statistical Analysis for Constant-stress Partially Accelerated Life Test with Interval Censored Data

School of Mathematics and Physics, Jingchu University of Technology. College of Applied Sciences,Beijing University of Technology

Accepted:2018-05-08 Online:2019-03-30 Published:2020-10-06
About author:LONG Bing(1973-),male, native of Jingmen, Hubei, an associate professor of Jingchu University of Technology, engages in reliability and application; ZHANG Zhong-zhan(1963-), male, native of Cangzhou, Hebei, a professor of Beijing University of Technology, engages in application of probability and statistics.
Supported by:
Supported by National Natural Science Foundation of China(11271039)；

摘要/Abstract

摘要： In this paper, a statistical analysis method is proposed to research life characteristics of products based on the partially accelerated life test. We discuss the statistical analysis for constant-stress partially accelerated life tests with Lomax distribution based on interval censored samples. The EM algorithm is used to obtain the maximum likelihood estimations(MLEs) and interval estimations for the shape parameter and acceleration factor.The average relative errors(AREs), mean square errors(MSEs), the confidence intervals for the parameters, and the influence of the sample size are discussed. The results show that the AREs and MSEs of the MLEs decrease with the increase of sample size. Finally, a simulation sample is used to estimate the reliability under different stress levels.

关键词: Interval censored samples, Partially accelerated life test, Accelerated factor;EM algorithm, Fisher information matrix

Abstract: In this paper, a statistical analysis method is proposed to research life characteristics of products based on the partially accelerated life test. We discuss the statistical analysis for constant-stress partially accelerated life tests with Lomax distribution based on interval censored samples. The EM algorithm is used to obtain the maximum likelihood estimations(MLEs) and interval estimations for the shape parameter and acceleration factor.The average relative errors(AREs), mean square errors(MSEs), the confidence intervals for the parameters, and the influence of the sample size are discussed. The results show that the AREs and MSEs of the MLEs decrease with the increase of sample size. Finally, a simulation sample is used to estimate the reliability under different stress levels.

Key words: Interval censored samples, Partially accelerated life test, Accelerated factor;EM algorithm, Fisher information matrix

中图分类号:

O213.2

龙兵, 张忠占. 区间删失下恒定应力部分加速寿命试验的统计分析[J]. 数学季刊, 2019, 34(1): 1-13.

LONG Bing, ZHANG Zhong-zhan. Statistical Analysis for Constant-stress Partially Accelerated Life Test with Interval Censored Data[J]. Chinese Quarterly Journal of Mathematics, 2019, 34(1): 1-13.

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区间删失下恒定应力部分加速寿命试验的统计分析

Statistical Analysis for Constant-stress Partially Accelerated Life Test with Interval Censored Data

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