杨春燕, 张莹. 恒加寿命试验在定时截尾逐级删失模型下的优化设计[J]. 云南大学学报(自然科学版), 2019, 41(6): 1083-1089. doi: 10.7540/j.ynu.20180324
引用本文: 杨春燕, 张莹. 恒加寿命试验在定时截尾逐级删失模型下的优化设计[J]. 云南大学学报(自然科学版), 2019, 41(6): 1083-1089. doi: 10.7540/j.ynu.20180324
YANG Chun-yan, ZHANG Ying. Planning constant-stress ALT under type I progressive censoring[J]. Journal of Yunnan University: Natural Sciences Edition, 2019, 41(6): 1083-1089. DOI: 10.7540/j.ynu.20180324
Citation: YANG Chun-yan, ZHANG Ying. Planning constant-stress ALT under type I progressive censoring[J]. Journal of Yunnan University: Natural Sciences Edition, 2019, 41(6): 1083-1089. DOI: 10.7540/j.ynu.20180324

恒加寿命试验在定时截尾逐级删失模型下的优化设计

Planning constant-stress ALT under type I progressive censoring

  • 摘要: 研究了当产品寿命数据来自指数分布时,2水平恒定应力加速寿命试验在定时截尾逐级删失模型下的优化问题. 在试验过程中,每个阶段被移走的产品数目是随机的,并假定其服从离散均匀分布. 在给定模型下,推导了似然函数和Fisher信息阵,得到了产品平均寿命估计量的渐进方差的表达式,利用Monte-Carlo方法对不同的模型参数和观测次数进行模拟,通过极小化渐进方差(C-optimality)得到了低应力水平和试验产品分配比例的最优取值.

     

    Abstract: The optimal plans are investigated for constant-stress accelerated life tests (ALT) under Type I progressive interval censoring when lifetimes are exponentially distributed. In particular, the number of removals at each inspection stage is random and assumed to follow a discrete uniform distribution. The maximum likelihood function and the associated Fisher information matrix are derived. The expression of the asymptotic variance of the estimated mean lifetime parameters is obtained. The optimal stress levels and allocation proportions which minimize the asymptotic variance of the estimators for different number of inspections are presented. Furthermore, sensitivity analysis is conducted through Monte-Carlo simulation to investigate the effect of mis-guessed lifetime parameters on the asymptotic variance.

     

/

返回文章
返回