• Communications for Statistical Applications and Methods
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• 제15권4호
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• pp.597-603
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• 2008

In this paper, we propose the calibration procedure for the valiance reduction of the stratified Warner's randomized response estimators, which suggested by Hong et al. (1994) and Kim and Warde (2004), using auxiliary information at the population level. It is shown that the proposed calibration estimators are more efficient than the ordinary Warner's estimators.

• 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.

• 한국조사연구학회지:조사연구
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• 제5권2호
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• pp.49-70
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• 2004

표본조사에서 사용 가능한 보조변수가 있는 경우에 추정의 효율을 높이기 위하여 보조변수를 활용하는 방법이 다각적으로 개발되어 왔다. 이 논문은 보조변수를 효과적으로 이용하는 방법 중의 하나인 일반회귀추정량에 대한 개괄적인 고찰이다. 일반회귀추정량의 출현부터 분산추정법의 제안까지 이론전개 과정을 살펴보았으며, 보정추정량 및 QR추정량과의 관련성을 통하여 일반회귀추정량의 성질을 알아보았다. 특히 분산추정에서 통상적인 설계기반 분산추정량이 가지는 조건부 성질의 약점을 보완하기 위하여 가중잔차기법을 사용하는 과정을 살펴보았다. 층화표집이나 집략표집과 같은 복합설계에서 활용할 수 있는 일반회귀추정량의 형태를 소개하였고, 마지막으로 일반회귀추정량의 장단점, 그리고 향후 이론적인 발전방향 및 실용적인 발전방향을 언급하였다.

• 품질경영학회지
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• 제22권2호
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• pp.89-97
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• 1994

We consider the linear calibration model: $y_1={\alpha}+{\beta}x_i+{\sigma}{\varepsilon}_i$, i = 1, ${\cdots}$, n, $y={\alpha}+{\beta}x+{\sigma}{\varepsilon}$ where ($y_1$, ${\cdots}$, $y_n$, y) stands for an observation vector, {$x_i$} fixed design vector, (${\alpha}$, ${\beta}$) vector of regression parameters, x unknown true value of interest and {${\varepsilon}_i$}, ${\varepsilon}$ are mutually uncorrelated measurement errors with zero mean and unit variance but otherwise unknown distributions. On the basis of simple small-sample low-noise approximation, we introduce a new method of comparing the mean squared errors of the various competing estimators of the true value x for finite sample size n. Then we show that a class of estimators including the classical and the inverse estimators are consistent and first-order efficient within the class of all regular consistent estimators irrespective of type of measurement errors.

• 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.

• Communications for Statistical Applications and Methods
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• 제28권5호
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• pp.493-510
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• 2021

The present article endeavours to develop partial optional randomized - response technique (PORT) to deal with sensitive issues in presence of non-response in successive sampling. Calibration techniques have been embedded with PORT to estimate sensitive population mean at current move in two move successive sampling in presence of non-response. Optimum calibration weights are computed at each move with the aid of constraints based on auxiliary information. Detailed properties of the proposed estimators have been discussed. Possible cases in which non-response may creep at two moves has been explored. The proposed technique has been compared with the modified existing technique. Simulation results indicate that the proposed technique is more efficient than existing, modified one. Suitable recommendations are forwarded.

• 천문학회보
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• 제41권2호
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• pp.61.1-61.1
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• 2016

Black hole (BH) mass is a fundamental quantity to understand BH growth, galaxy evolution, and connection between them. Thus, obtaining accurate and precise BH mass estimates over cosmic time is of paramount importance. The rest-frame UV CIV ${\lambda}1549$ broad emission line is commonly used for BH mass estimates in high-redshift AGNs (i.e., $2{\leq}z{\leq}5$) when single-epoch (SE) optical spectra are available. Achieving correct and accurate calibration for CIV-based SE BH mass estimators against the most reliable reverberation-mapping based BH mass estimates is thus practically important and still useful. By performing multi-component spectral decomposition analysis to obtained high-quality HST UV spectra for the updated sample of local reverberation-mapped AGNs including new HST STIS observations, CIV emission line widths and continuum luminosities are consistently measured. Using a Bayesian hierarchical model with MCMC sampling based on Hamiltonian Monte Carlo algorithm (Stan NUTS), we provide the most consistent and accurate calibration of CIV-based BH mass estimators for the three line width characterizations, i.e., full width at half maximum (FWHM), line dispersion (${\sigma}_{line}$), and mean absolute deviation (MAD), in the extended BH mass dynamic range of log $M_{BH}/M_{\odot}=6.5-9.1$.

• 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.

• 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.

• 응용통계연구
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• 제21권5호
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• pp.855-866
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• 2008

최근 격자자료(lattice data) 분석 방법을 이용한 소지역 추정(small area estimation)이 연구되고 있으며 좋은 결과를 주고 있는 것으로 알려져 있다. 소지역 추정에 주로 사용되는 격자자료(lattice data) 분석의 경우 가장 자료를 잘 설명할 수 있는 이웃정보시스템을 사용하여야 분석의 효율을 향상시킨 수 있다. 최근 이강석과 신기일 (2008)은 지리정보시스템을 이용하여 만들어진 여러 이웃정보시스템을 비교, 분석하였다. 본 논문에서는 이강석과 신기일(2008)이 제안한 여러 이웃정보시스템이 소지역 추정에 얼마나 영향을 미치는지를 MSE, 커버리지, 캘리브레이션 그리고 회귀분석 방법 등을 이용하여 비교하였다. 2001년 경제활동인구조사의 실업자수 자료가 비교에 사용되었다.