• 제목/요약/키워드: Calibration Estimator

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층화 추출에서 보정추정량에 대한 붓스트랩 분산 추정 (Bootstrap Variance Estimation for Calibration Estimators in Stratified Sampling)

  • 염준근;정영미
    • 한국조사연구학회:학술대회논문집
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    • 한국조사연구학회 2001년도 추계학술대회 발표논문집
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    • pp.77-85
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    • 2001
  • 무응답 상황하에서 보정 추정량에 대해 관심변수와 강한 상관계수를 가진 보조정보의 수준에 따라 모집단 총합에 대한 추정량과 분산추정량을 붓스트랩 방법을 이용해서 구했다. 이때 존재하는 보조정보의 수준이 표본인 경우와 모집단인 경우로 나누어 모집단 총합에 대한 보정 추정량(calibration estimator)을 구하고, 그에 따른 붓스트랩 분산 추정량을 도출하였다. 또한 테일러 분산 추정량, 잭나이프 분산 추정량과 붓스트램 분산 추정량의 효율성을 모의 실험을 통해 비교해 보았다.

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THE VARIANCE ESTIMATORS FOR CALIBRATION ESTIMATOR IN UNIT NONRESPONSE

  • Son, Chang-Kyoon;Jung, Hun-Jo
    • Journal of applied mathematics & informatics
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    • 제9권2호
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    • pp.869-877
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    • 2002
  • In the presence of unit nonresponse we perform the calibration estimation procedure for the population total corresponding to the levels of auxiliary information and derive the Taylor and the Jackknife variance estimators of it. We study the nonresponse bias reduction and the variance stabilization, and then show the efficiency of the Taylor and the Jackknife variance estimators by simulation study.

단위 무응답 보정에서 보조변수의 선택에 관한 연구 (A Study on Auxiliary Variable Selection in Unit Nonresponse Calibration)

  • 손창균;홍기학;이기성
    • 응용통계연구
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    • 제16권1호
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    • pp.33-44
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    • 2003
  • 조사과정에서 필연적으로 발생하는 무응답을 보정하기 위해 보조정보를 사용해야 한다. 이 때, 이용 가능한 보조정보의 차원이 크면, 계산과정에서 많은 시간이 소요되며 데이터를 다루기가 매우 어렵다. 또한 추정량의 분산이 보조전보의 차원에 의존하기 때문에 과소추정의 문제가 발생한다. 이러한 문제를 해결하기 위해 무응답 보정에서 적절한 보조정보의 선택 방법을 제안하였고, 이에 대한 효율성을 모의실험을 통해 살펴보았다.

A Study for the Unit Nonresponse Calibration using Two-Phase Sampling Method

  • Yum, Joon Keun;Jung, Young Mee
    • Communications for Statistical Applications and Methods
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    • 제9권2호
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    • pp.479-489
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    • 2002
  • The case which applies two-phase sampling to stratification and nonresponse problem, it is a poweful and effective technique. In this paper we study the calibration estimator and its variance estimator for the population total using two-phase sampling method according to the of auxiliary information for population and sample having strong correlation with an interested variable in unit nonresponse situation. The auxiliary information that available both at first-phase and second-phase sampling can be used to improve weights by the calibration procedure. A weight which corresponds to the product of sampling weights and response probability is calculated at each phase of sampling.

해저고정 소나표적의 위치교정기법과 오차해석 (A Calibration Technique and its Error Analysis for the Position of Seabed Sonar Target)

  • 이상국;이용곤
    • 한국군사과학기술학회지
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    • 제6권3호
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    • pp.15-21
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    • 2003
  • This paper contains a precise calibration technique for the position of seabed acoustic target and theoretical error analysis of calibration results. The target is deployed on seabed as a standalone transponder. The purpose of target is performing accuracy test for active sonar as well as position calibration itself. For the position calibration, relative range between target and test vessel should be measured using target's transponder function. The relative range data combined with vessel position can be converted into a estimated position of target by the application of nonlinear LSE method. The error analysis of position calibration was divided into two stages. One is for relative range estimator and the other for target position estimator. Numerical simulations for position calibration showed good matching between results and developed CRLB.

THE CALIBRATED VARIANCE ESTIMATOR UNDER THE UNIT NONRESPONSE

  • Son, Chang-Kyoon;Hong, Ki-Hak;Lee, Gi-Sung
    • Journal of applied mathematics & informatics
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    • 제8권3호
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    • pp.975-987
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    • 2001
  • We treat the problem of variance estimation for the estimator of population total, which is derived from the calibration estimation procedure corresponding to the levels of auxiliary information under nonresponse situation. We develop the calibrated variance estimation procedure using the fact that the population total and variance as well as the sample total and variance of the auxiliary variable are known. We show that the proposed variance estimation procedure improves the $Lundst\ddot{o}rm$ and $S\ddot{a}rndal's$ (1999) procedure with respect to the variance and nonresponse bias reduction through the simulation study.

A Dual Problem of Calibration of Design Weights Based on Multi-Auxiliary Variables

  • Al-Jararha, J.
    • Communications for Statistical Applications and Methods
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    • 제22권2호
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    • pp.137-146
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    • 2015
  • Singh (2013) considered the dual problem to the calibration of design weights to obtain a new generalized linear regression estimator (GREG) for the finite population total. In this work, we have made an attempt to suggest a way to use the dual calibration of the design weights in case of multi-auxiliary variables; in other words, we have made an attempt to give an answer to the concern in Remark 2 of Singh (2013) work. The same idea is also used to generalize the GREG estimator proposed by Deville and S$\ddot{a}$rndal (1992). It is not an easy task to find the optimum values of the parameters appear in our approach; therefore, few suggestions are mentioned to select values for such parameters based on a random sample. Based on real data set and under simple random sampling without replacement design, our approach is compared with other approaches mentioned in this paper and for different sample sizes. Simulation results show that all estimators have negligible relative bias, and the multivariate case of Singh (2013) estimator is more efficient than other estimators.

Nonresponse Adjusted Raking Ratio Estimation

  • Park, Mingue
    • Communications for Statistical Applications and Methods
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    • 제22권6호
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    • pp.655-664
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    • 2015
  • A nonresponse adjusted raking ratio estimator that consists of weighting adjustment using estimated response probability and raking procedure is often used to reduce the nonresponse bias and keep the calibration property of the estimator. We investigated asymptotic properties of nonresponse adjusted raking ratio estimator and proposed a variance estimator. A simulation study is used to examine the performance of suggested estimators.

Recalibration Estimation for Unit Nonresponse at the Two Levels Auxiliary Information

  • Yum, Joon Keun;Son, Chang Kyoon;Jeung, Young Mee
    • Communications for Statistical Applications and Methods
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    • 제10권3호
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    • pp.665-678
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    • 2003
  • In this paper we suggest the new calibration estimator, which is called to the recalibration estimator, and its variance estimator using two-phase sampling technique according to the auxiliary information having strong correlation with the variable of interest under the unit nonresponse. In this unit nonresponse situation, an available information may exists at the level of whole population or the first-phase sample. The proposed recalibration estimator derives from the first and second phase weights respectively.

The calibration for stratified randomized response model

  • Son, Chang-Kyoon;Hong, Ki-Hak;Lee, Gi-Sung
    • 한국통계학회:학술대회논문집
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    • 한국통계학회 2005년도 추계 학술발표회 논문집
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    • pp.85-90
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    • 2005
  • This paper proposes the calibration procedure for stratified Warner's randomized response model, which suggested by Kim and Warde (2004). It is shown that the proposed calibration estimator is more efficient than the Kim and Warde's model.

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