产品可靠寿命的最优排序集挑选设计  

Optimal Ranked Set Select Design of Product Reliable Life

作　　者：董晓芳[1] 张良勇[1] DONG Xiao-fang;ZHANG Liang-yong(School of Mathematics and Statistics,Hebei University of Economics and Business,Shijiazhuang 050061,China)

机构地区：[1]河北经贸大学数学与统计学学院,河北石家庄050061

出　　处：《运筹与管理》2021年第10期53-56,共4页Operations Research and Management Science

基　　金：国家自然科学基金资助项目(11801134);河北经贸大学科研基金项目(2015KYQ03,2016KYQ08)。

摘　　要：针对产品可靠寿命的估计问题,构造了基于排序集挑选样本的非参数估计量,证明了该估计量具有强相合性和渐近正态性。针对不同的可靠寿命,具体给出了使得估计效率达到最大的最优挑选抽样设计。最后,渐近相对效率和实际应用的研究结果表明:最优挑选设计的抽样效率高于简单随机抽样。For the estimation problem of product reliable life,the nonparametric estimator based on ranked set select sample is constructed.The estimator is shown to have strong consistency and asymptotic normality.For different types of reliable life,their optimal select sampling designs are given to maximize the estimation efficiency.Finally,the study results of asymptotic relative efficiency and practical application show that the optimal select sampling is more efficient than the simple random sampling.

关 键 词：可靠寿命 排序集抽样 最优挑选设计 非参数估计 

分 类 号：O213.2[理学—概率论与数理统计]