计算机工程与应用 ›› 2008, Vol. 44 ›› Issue (18): 236-238.

• 工程与应用 • 上一篇    下一篇

混合Ⅱ型截尾样本下简单步加试验的统计分析

覃晓琼1,康会光2,师义民1,胡俊梅1   

  1. 1.西北工业大学 应用数学系,西安 710072
    2.安阳师范学院 数学系,河南 安阳 455000
  • 收稿日期:2008-01-14 修回日期:2008-04-14 出版日期:2008-06-21 发布日期:2008-06-21
  • 通讯作者: 覃晓琼

Statistical analysis of simple step-stress accelerated life testing for Type II hybrid censored sample

QIN Xiao-qiong1,KANG Hui-guang2,SHI Yi-min1,HU Jun-mei1   

  1. 1.Department of Applied Mathematics,Northwestern Polytechnical Univercity,Xi’an 710072,China
    2.Department of Mathematics,Anyang Normal University,Anyang,Henan 455000,China
  • Received:2008-01-14 Revised:2008-04-14 Online:2008-06-21 Published:2008-06-21
  • Contact: QIN Xiao-qiong

摘要: 将Bootstrap方法引入到加速寿命试验中,在产品寿命服从Rayleigh分布的情形下,研究混合Ⅱ型截尾简单步加试验的可靠性统计分析问题,获得了参数的极大似然估计和区间估计,给出了正常应力水平下可靠度、失效率、平均寿命等可靠性指标的估计方法,最后利用Monte-Carlo方法验证了结论的正确性和可行性。

Abstract: This paper introduces Bootstrap method to the statistical analysis of accelerated life testing.Based on type II hybrid censored simple form step-stress accelerated life testing,the point and interval estimations of the parameters of Rayleigh distribution are obtained.Besides,the estimation of the failure rate,the reliability function and average life are given at normal stress level.In the end,some data simulation examples are given to illustrate validity of this method.