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http://dx.doi.org/10.5351/KJAS.2004.17.1.027

A Modified Horvitz-Thompson Estimator by Transformation of Variables  

류제복 (청주대학교 생명.유전.통계학부)
Publication Information
The Korean Journal of Applied Statistics / v.17, no.1, 2004 , pp. 27-34 More about this Journal
Abstract
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.
Keywords
Midzuno-Sen sampling scheme; Inclusion probability; Transformation of variable; Horvitz-Thompson estimator;
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