• Communications for Statistical Applications and Methods
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• 제14권3호
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• pp.667-677
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• 2007

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.

• Journal of the Korean Data and Information Science Society
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• 제11권1호
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• pp.91-101
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• 2000

We propose a new method for estimating the mean of a population which has a linear trend. The suggested estimator is based on the centered balanced systematic sampling method and the concept of interpolation and extrapolation. The efficiency of the proposed method is compared with that of existing methods.

• Communications for Statistical Applications and Methods
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• 제4권3호
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• pp.743-752
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• 1997

Kim (1985) proposed the so-called "centered balanced systematic sampling" for estimating the mean of a population with a linear trend. In this paper, a version of this sampling method is proposed. It is shown that this version is as efficient as the original method from the viewpoint of the expected mean square error criterion. It is also shown to be quite an efficient method as compared with other existing methods.g methods.

• 응용통계연구
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• 제13권2호
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• pp.457-476
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• 2000

본 연구에서는 선형추세를 갖는 모집단에 대한 효율적인 표본추출방법과 모평균 추정법을 제안하였다. 이 방법은 계통추출을 확장한 중심균형계통추출을 써서 표본을 뽑은 뒤 표본평균보다 수정된 추정량을 써서 모평균을 추정하는 것이다. 수정된 추정량을 정하는 데에 보간법의 개념을 사용하였다. 제안된 추정량과 기존의 방법에 으한 추정량들의 효율을 Cochran(1946)의 무한초모집단모형에 근거를 둔 기대평균제곱오차를 기준으로 하여 비교하였다. 제안된 방법은 표본크기 n($\geq$5)이 홀수이고 추출률의 역수인 $textsc{k}$가 짝수인 경우에 사용하기 위한 것이다. 모의실험을 이용한 예어서도 역시 좋은 결과가 얻어졌다.