• The Korean Journal of Applied Statistics
• /
• v.17 no.1
• /
• pp.27-34
• /
• 2004

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.

• Communications for Statistical Applications and Methods
• /
• v.14 no.1
• /
• pp.57-69
• /
• 2007

Adaptive cluster sampling design is known as a sampling method for rare clustered population. Three modified adaptive cluster sampling designs are proposed. The adjusted Hansen-Hurwitz estimator and the Horvitz-Thompson estimator are considered. Efficiency issue of the proposed sampling designs is discussed in a Monte-Carlo simulation study.

• Proceedings of the Korean Statistical Society Conference
• /
• 2004.11a
• /
• pp.155-160
• /
• 2004

불균등 확률 계통추출에서는 모집단 총합에 대한 Horvitz-Thompson 추정량의 대안적 분산 추정량들을 사용하게 된다. 이와 같은 모총합에 관한 분산 추정량들의 설계와 관련한 일반적인 방법은 균등 확률 계통추출에 대한 분산 추정량들에서 시작하고 비율 $y_i,/P_i$에 의한 추정량의 정의에서 $y_i$를 재배치하게 한다. 비선형 조사 통계학에서 추정량들 중의 하나로 테일러 급수 공식을 적용한다. 불균등 확률 계통추출에서의 분산은 8가지 방법으로 추정이 가능하므로 이를 이용한 분산추정량을 구해보고, 비복원 불균등 확률에서의 jackknife방법을 살펴보고자 한다. 또한 이들 분산추정량들에 대한 비교를 몇 가지 방법을 이용하여 알아보도록 한다.

• The Korean Journal of Applied Statistics
• /
• v.21 no.5
• /
• pp.889-900
• /
• 2008

Child labour is a disturbing issue for any society. It is attempted here in this article to develop an estimator to assess the numerical strength of this menace in Lahore division. A Horvitz and Thompson (1952) type of estimator is developed where weights are calculated on the basis of poverty and illiteracy to increase the sampling efficiency. Different characteristic features of this estimator, like its unbiasedness, variance, probability distribution, confidence intervals are also developed for its study from different angles.

• Proceedings of the Korean Statistical Society Conference
• /
• 2005.05a
• /
• pp.245-250
• /
• 2005

보통 생태학 분야 등에 적용될 수 있는 적응집락추출계획(adaptive cluster sampling plan)을 수정하여, 표본의 크기 면에서 더 효율적인 Jumped 및 일반화 적응집락추출계획을 제안하였다. 이러한 계획 하에서 Hansen-Hurwitz(HH)와 Horvitz-Thompson (HT) 추정량으로 모수를 추정하였다. 제안한 새로운 계획들을 시뮬레이션을 통하여 기존의 계획과 비교하였다.

• Communications for Statistical Applications and Methods
• /
• v.10 no.1
• /
• pp.79-88
• /
• 2003

In this paper, we study the efficiency of the stratified estimator in related with the variance lower bound of Horvitz-Thompson estimator subject to the superpopulation model. Especially, we compare the variance lower bound of optimum allocation with that of power allocation subject to Dalenius-Hedges stratification.

• The Korean Journal of Applied Statistics
• /
• v.20 no.3
• /
• pp.605-618
• /
• 2007

Adaptive sampling design is the selection procedure which depends on observed values of the variable of interest. It is the method which could be applied to the rare and unapproachable population. Adaptive cluster sampling strategies are more efficient than simple random sampling on equivalent sample size. Adaptive sampling with new estimators through the Rao-blackwell method have lower variance than Horvitz-Thompson (HT) and Hansen-Hurwitz (HH). Also, to determine suitable sample size, it was used expected sample and the method finding appropriate sample size by changing initial sample size were studied.