Estimation of finite population mean using auxiliary information in systematic sampling

被引：5
作者：
Pal S.K. [1 ]
Singh H.P. [1 ]
机构：
[1] School of Studies in Statistics, Vikram University, Ujjain, 456010, M.P.
来源：
International Journal of System Assurance Engineering and Management | 2017年 / 8卷 / Suppl 2期
关键词：
Auxiliary variable; Bias; Efficiency; Mean squared error; Study variable;
D O I：
10.1007/s13198-017-0609-5
中图分类号：
学科分类号：
摘要：
In this paper the problem of estimating the population mean Y¯ of the study variable y using information on auxiliary variable x in systematic sampling has been considered. Taking motivation from Singh et al. (J Sci Res 56:177–182, 2012a; J Reliab Stat Stud 5(1):73–82, 2012b) we have proposed a class of estimators for the population mean Y¯. The bias and mean squared error (MSE) of the suggested class of estimators are obtained. Optimum condition is obtained in which the suggested class of estimators has minimum MSE. A numerical study is provided to show that the members of the proposed class of estimators are more efficient than the other existing estimators. © 2017, The Society for Reliability Engineering, Quality and Operations Management (SREQOM), India and The Division of Operation and Maintenance, Lulea University of Technology, Sweden.
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页码：1392 / 1398
页数：6
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