区间删失下恒定应力部分加速寿命试验的统计分析

龙兵, 张忠占

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

数学季刊 >

2019 , Vol. 34 >Issue 1: 1 - 13

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2019.01.001

区间删失下恒定应力部分加速寿命试验的统计分析

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

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.

录用日期: 2018-05-08

网络出版日期: 2020-10-06

基金资助

Supported by National Natural Science Foundation of China(11271039)；

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

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

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.

Accepted date: 2018-05-08

Online published: 2020-10-06

Supported by

Supported by National Natural Science Foundation of China(11271039)；

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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

本文引用格式

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

Abstract

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

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