排序集抽样下随机截尾数据的平均寿命估计

doi:10.3969/j.issn.1000-1565.2022.02.001

河北大学学报(自然科学版) ›› 2022, Vol. 42 ›› Issue (2): 113-117.DOI: 10.3969/j.issn.1000-1565.2022.02.001

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排序集抽样下随机截尾数据的平均寿命估计

张良勇,董晓芳

收稿日期:2021-09-13 出版日期:2022-03-25 发布日期:2022-04-12
通讯作者: 董晓芳(1981—)
作者简介:张良勇(1980—),男,河北沧州人,河北经贸大学副教授,博士,主要从事非参数统计、抽样技术研究.
E-mail:ly1980z@126.com
基金资助:
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)

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

ZHANG Liangyong, DONG Xiaofang

College of Mathematics and Statistics, Hebei University of Economics and Business, Shijiazhuang 050061, China

Received:2021-09-13 Online:2022-03-25 Published:2022-04-12

摘要/Abstract

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.

关键词: 平均寿命, 排序集抽样, 随机截尾数据, 非参数估计

Abstract: 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.

Key words: mean life, ranked set sampling, random truncated data, nonparametric estimation

中图分类号:

O212.7

张良勇,董晓芳. 排序集抽样下随机截尾数据的平均寿命估计[J]. 河北大学学报(自然科学版), 2022, 42(2): 113-117.

ZHANG Liangyong, DONG Xiaofang. Estimation of mean life for random truncated data under ranked set sampling[J]. Journal of Hebei University(Natural Science Edition), 2022, 42(2): 113-117.

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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

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