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

doi:10.3969/j.issn.1000-1565.2022.02.001

Journal of Hebei University(Natural Science Edition) ›› 2022, Vol. 42 ›› Issue (2): 113-117.DOI: 10.3969/j.issn.1000-1565.2022.02.001

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

Abstract

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

CLC Number:

O212.7

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

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