对数正态分布下带有随机移走的逐步删失定数截尾恒加试验的最优设计

发布时间：2018-03-29 14:36

本文选题：加速寿命试验　切入点：随机移走　出处：《云南大学》2015年硕士论文

【摘要】：本文研究了对数正态分布下带有随机移走的逐步删失定数截尾恒加试验的最优设计问题,假定在每次随机移走的数目服从二项分布。我们建立统计模型,运用极大似然法估计寿命分布的参数,推导出寿命分布的q分位寿命估计量的渐进方差,并用数值模拟的方法求出使渐进方差达到最小的最佳应力水平和试验样品的分配比例,即加速寿命试验最优设计,为在所提出的模型下进行加速寿命试验提供了有价值的参考。
[Abstract]:In this paper, we study the optimal design problem of the piecewise censored constant addition test with random removal under the logarithmic normal distribution, and assume that the number of random removal is binomial distribution. We establish a statistical model. By using the maximum likelihood method to estimate the parameters of the life distribution, the asymptotic variance of the qquartile life estimator of the life distribution is derived, and the optimum stress level of the asymptotic variance to the minimum and the distribution ratio of the test sample are obtained by numerical simulation. That is, the optimal design of accelerated life test provides a valuable reference for the accelerated life test under the proposed model.
【学位授予单位】：云南大学
【学位级别】：硕士
【学位授予年份】：2015
【分类号】：O212.1

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