The Korean Journal of Applied Statistics (응용통계연구)

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

복합추정량을 이용한 절사표본 총합 추정에 관한 연구

  • Kim, Ji-Hak (Department of Statistics, Hankuk University of Foreign Studies) ;
  • Shin, Key-Il (Department of Statistics, Hankuk University of Foreign Studies)
  • 김지학 (한국외국어대학교 통계학과) ;
  • 신기일 (한국외국어대학교 통계학과)
  • Received : 20110800
  • Accepted : 20111000
  • Published : 2011.12.31
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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 highly skewed population like a business survey. Usually to the estimate of population total, we need to estimate the total of the take-nothing stratum. Many estimators have been developed to estimate the total of the take-nothing stratum. In this paper, we suggest a new composite estimator which combines the estimator suggested by Sarndal et al. (1992) and a ratio estimator obtained by small samples from the take-nothing stratum. Small simulation studies are performed for the comparison of the estimators and we confirm that the new suggested estimator is superior to the others.

절사표본 설계는 관심변수의 분포가 오른쪽으로 치우쳐진 경우에 모집단 일부를 표본조사에서 제외시켜 조사의 효율을 높이는 방법이다. 그러나 전체 모집단의 총합 추정을 위해서는 버려진 절사 층에 관한 추론이 필요하게 된다. 기존에 사용하고 있는 많은 방법들은 절사층에서 표본조사를 하지 않고 알려진 보조정보와 조사자료를 이용하여 절사층 총합을 추정하며 이를 이용하여 전체 모집단의 총합을 추정한다. 본 논문에서는 절사층을 완전히 표본 층에서 제거하지 않고 조사의 편리성 및 효율성을 고려하여 최소의 표본을 추출한 후 모집단 전체 총합을 추정하는 방법을 제안하였다. 또한 모의실험을 통하여 제안된 추정법과 기존 방법의 우수성을 비교하였다.

Keywords

References

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