An Estimator of Population Mean Based on Balanced Systematic Sampling When Both the Sample Size and the Reciprocal of the Sampling Fraction are Odd Numbers

- Journal title : Communications for Statistical Applications and Methods
- Volume 14, Issue 3, 2007, pp.667-677
- Publisher : The Korean Statistical Society
- DOI : 10.5351/CKSS.2007.14.3.667

Title & Authors

An Estimator of Population Mean Based on Balanced Systematic Sampling When Both the Sample Size and the Reciprocal of the Sampling Fraction are Odd Numbers

Kim, Hyuk-Joo;

Kim, Hyuk-Joo;

Abstract

In this paper, we propose a method for estimating the mean of a population which has a linear trend, when both n, the sample size, and k, the reciprocal of the sampling fraction, are odd numbers. The proposed method, not having the drawbacks of centered systematic sampling, centered modified sampling and centered balanced sampling, consists of selecting a sample by balanced systematic sampling and estimating the population mean by using interpolation. We compare the efficiency of the proposed method and existing methods under the criterion of the expected mean square error based on the infinite superpopulation model.

Keywords

Balanced systematic sampling;estimation of population mean;infinite superpopulation model;interpolation;linear trend;

Language

Korean

References

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