응용통계연구 (The Korean Journal of Applied Statistics)

  • 제17권1호
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  • Pages.27-34
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  • 2004
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  • 1225-066X(pISSN)
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  • 2383-5818(eISSN)
한국통계학회 (The Korean Statistical Society)
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변수변환에 의한 수정 HORVITZ-THOMPSON 추정량

A Modified Horvitz-Thompson Estimator by Transformation of Variables

  • 류제복 (청주대학교 생명.유전.통계학부)
  • 발행 : 2004.03.01
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초록

Horvitz-Thompson(H-T)추정량이 확률비례추정량에 비해 효율이 떨어지는 경우가 있다 이를 극복하기 위해서 2단계 변수변환을 한다. 1단계로는 Midzuno-Sen추출을 적용하기 위해서 보조변수를 변환하고, 이로부터 얻은 포함확률을 H-T추정량에 사용할 때 분산을 줄이기 위해서 2단계로 연구변수를 변환하였다. 이러한 변환을 통해 얻은 추정량과 기존의 PPS 추정량들을 비교하였다.

The Horvitz-Thompson(H-T) estimator is less efficient than PPS estimators in some cases. We use the two-stage variable transformation in order to remove the drawbacks and increase the efficiency of H-T estimator. We transform the auxiliary variable to use the Midzuno-Sen sampling scheme at the first stage. And the next stage, we also transform the study variable to reduce the variance of H-T estimator using the inclusion probability obtained from the first transformation. We compare the efficiency between a suggested modified H-T estimator and PPS estimators.

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참고문헌

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