排序集抽样下随机截尾数据的平均寿命估计  

Estimation of mean life for random truncated data under ranked set sampling

作　　者：张良勇[1] 董晓芳[1] ZHANG Liangyong;DONG Xiaofang(College 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：《河北大学学报（自然科学版）》2022年第2期113-117,共5页Journal of Hebei University(Natural Science Edition)

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资助项目(2015KYQ03);河北经贸大学重点项目(2021ZDOS)。

摘　　要：为了提高随机截尾数据平均寿命的估计效率,采用平均秩思想,提出了基于排序集抽样方法的非参数估计量,证明了新估计量的渐近正态性,确定了其渐近方差,并与简单随机抽样下相应估计量进行了估计效率的比较,结果表明,排序集抽样效率高于简单随机抽样.最后,实际数据的应用结果验证了理论结果的正确性.In order to improve the estimation efficiency of mean life for random truncated data,a nonparametric estimator based on ranked set sampling is proposed by adopting the idea of average rank.Its asymptotic normality is proved,and its asymptotic variance is identified.According to compare the new estimator with the corresponding estimator under simple random sampling,ranked set sampling is shown to be more efficient than simple random sampling.Finally,the application results of practical data verify the correctness of the theoretical results.

关 键 词：平均寿命 排序集抽样 随机截尾数据 非参数估计 

分 类 号：O212.7[理学—概率论与数理统计]