集美大学学报(自然科学版)2024,Vol.29Issue(6) :505-512.DOI:10.19715/j.jmuzr.2024.06.04

恒加速寿命试验广义半正态分布的统计推断

Statistical Inference of Generalized Half-Normal Distribution for Constant Accelerated Life Tests

韩秀蓉 陈建伟 蔡南莲
集美大学学报(自然科学版)2024,Vol.29Issue(6) :505-512.DOI:10.19715/j.jmuzr.2024.06.04

恒加速寿命试验广义半正态分布的统计推断

Statistical Inference of Generalized Half-Normal Distribution for Constant Accelerated Life Tests

韩秀蓉 1陈建伟 2蔡南莲1
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作者信息

  • 1. 集美大学理学院,福建 厦门 361021
  • 2. 圣地亚哥州立大学数学与统计系,圣地亚哥 92182
  • 折叠

摘要

在恒加速寿命试验下,研究具有广义半正态分布寿命的参数估计问题.证明当恒加速寿命试验的应力和广义半正态分布参数满足一定条件时,寿命形成了一个几何过程;探讨模型参数的最大似然估计、渐近置信区间和bootstrap置信区间的求法.对得到的估计结果进行数值模拟,模拟结果表明,模型参数估计值及置信区间是有效的.

Abstract

In this paper,under constant-stress accelerated life test,the parameter estimations on a popula-tion with generalized half-normal distribution were considered.Firstly,it was proved that the product life forms a geometric process when certain conditions of the stress and parameters of generalized half-normal distribution are satisfied.Secondly,the maximum likelihood estimations,asymptotic confidence interval and bootstrap confi-dence interval estimations of the parameters were proposed.Finally,the obtained estimation results were nu-merically simulated,which showed that the model parameter estimations and confidence interval estimations were valid.

关键词

加速寿命试验/几何过程/最大似然估计/bootstrap置信区间/渐近分布

Key words

accelerated life test/geometric process/maximum likelihood estimation/bootstrap confidence/asymptotic distribution

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出版年

2024
集美大学学报(自然科学版)
集美大学

集美大学学报(自然科学版)

影响因子:0.293
ISSN:1007-7405
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