Communications for Statistical Applications and Methods

The Korean Statistical Society (한국통계학회)
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An Alternative Composite Estimator for the Take-Nothing Stratum of the Cut-Off Sampling

절사층 총합추정을 위한 복합추정량

  • Hwang, Jong-Min (Department of Statistics, Hankuk University of Foreign Studies) ;
  • Shin, Key-Il (Department of Statistics, Hankuk University of Foreign Studies)
  • 황종민 (한국외국어대학교 통계학과) ;
  • 신기일 (한국외국어대학교 통계학과)
  • Received : 20111200
  • Accepted : 20120100
  • Published : 2012.01.30
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Abstract

Cut-off sampling that discards a part of the population from the sampling frame, is a widely used method for a business survey. Usually, to the estimate of population total, an accurate estimate of the total of the take-nothing stratum is required. Many estimators have been developed to estimate the total of the take-nothing stratum. Recently Kim and Shin (2011) suggested a composite estimator and showed the superiority of that estimator. In this paper, we suggest an alternative composite estimator obtained by combining BLUP estimator and a ratio estimator obtained by the small samples from the take-nothing stratum. Small simulation studies are performed for a comparison of the estimators and we confirm that the new suggested estimator is superior.

절사표본 추출법은 절사층, 표본층, 전수층으로 모집단을 분리한 후 표본층과 전수층의 조사결과를 이용하여 전체 모집단의 총합을 추정하는 방법이다. 이 방법은 왜도가 심한 사업체조사에서 흔히 사용하는 방법이다. 절사층의 총합 추정은 전체 모집단 총합 추정에 영향을 미치므로 절사층 총합의 정확한 추정은 매우 중요하다. 최근 김지학과 신기일 (2011)은 절사층에서 소수의 표본을 추출하여 얻은 결과와 기존의 추정량에서 얻은 결과를 선형결합하는 복합추정법을 제안하였다. 본 논문에서는 최량선형불편예측(best linear unbias predictor; BLUP)을 이용한 새로운 복합추정량을 제안하였으며 모의실험을 통하여 기존의 방법과 새로운 복합 추정량의 우수성을 비교하였다.

Keywords

References

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