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http://dx.doi.org/10.5351/CKSS.2007.14.3.667

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 (Division of Mathematics and Informational Statistics and Institute of Basic National Sciences, Wonkwang University)
Publication Information
Communications for Statistical Applications and Methods / v.14, no.3, 2007 , pp. 667-677 More about this Journal
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;
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