• CN:11-2187/TH
  • ISSN:0577-6686

›› 2009, Vol. 45 ›› Issue (4): 56-63.

• 论文 • 上一篇    下一篇

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对数正态分布步加试验和步降试验的效率比较分析

徐晓岭;王蓉华;於嵩;顾蓓青   

  1. 上海对外贸易学院商务信息学院;上海师范大学数理信息学院;上海对外贸易学院国际经贸学院
  • 发布日期:2009-04-15

Comparison Analysis of Efficiencies for Lognormal Distribution Based on Step Acceleration Test and Step Deceleration Test

XU Xiaoling;WANG Ronghua;YU Song;GU Beiqing   

  1. Business Information College, Shanghai Institute of Foreign Trade College of Mathematics and Science, Shanghai Normal University International Business College, Shanghai Institute of Foreign Trade
  • Published:2009-04-15

摘要: 在对数正态分布场合下,针对定时截尾步进应力加速寿命试验和步降应力加速寿命试验,根据准则1对总的产品失效数的比较和准则2对产品条件平均寿命的比较,分别对两种试验方式的效率进行比较分析。而针对定数截尾步进应力加速寿命试验和步降应力加速寿命试验,根据准则3对总试验时间的比较和准则4对样本均值的比较,分别对两种试验方式的效率进行比较分析。并以简单步进应力加速寿命试验和步降应力加速寿命试验为例,通过大量的Monte-Carlo模拟,在四个不同的准则下分别比较两种试验方式的效率,可以得到步降应力加速寿命试验有利于提高试验效率,即步降应力加速寿命试验优于步进应力加速寿命试验。因此,认为步降应力加速寿命试验很值得推广。

关键词: 步降应力加速寿命试验, 步进应力加速寿命试验, 定时截尾, 对数正态分布, 效率

Abstract: Based on the lognormal distribution, the efficiencies for the type-I censored step-up-stress and step-down-stress accelerated life tests are compared and analyzed according to the first criterion by comparing the total numbers of failure products and based on the second criterion by comparing the conditional expectations of life. Also for the type-II censored step-up-stress and step-down-stress accelerated life tests, the efficiencies for these two tests are compared and analyzed according to the third criterion by comparing the total test time and based on the fourth criterion by comparing the sample means. Afterwards the efficiencies for the two kinds of tests under these four different criterions are compared by using a large amount of Monte-Carlo simulations in one example of simple step-up-stress and step-down-stress accelerated life tests. As a result of this example, we see that the step-down-stress accelerated life test is available to improve the test efficiency and it is superior to the step-up-stress accelerated life test. Therefore, it is worthwhile to popularize the step-down-stress accelerated life test.

Key words: Efficiency, Lognormal distribution, Step-down-stress accelerated life test, Step-up-stress accelerated life test, Type-I censored life test

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