• Title/Summary/Keyword: Efficiency of Estimator

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An Improved Estimator of PPV from the Screening Test

  • Park, Sang-Gue;Choi, Ji-Yun
    • Journal of the Korean Data and Information Science Society
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    • v.16 no.2
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    • pp.419-428
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    • 2005
  • The screening test is increasingly being used for predicting future disease in the person screened and has raised concerns about reliability of the result of its procedure. We propose an improved estimator of the confidence interval for the positive predictive value(PPV) in screening test by simply taking inverse sinh transformation comparing to Gastwirth(1987) estimator and show its efficiency through the simulation study.

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EFFICIENT ESTIMATION OF THE COINTEGRATING VECTOR IN ERROR CORRECTION MODELS WITH STATIONARY COVARIATES

  • Seo, Byeong-Seon
    • Journal of the Korean Statistical Society
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    • v.34 no.4
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    • pp.345-366
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    • 2005
  • This paper considers the cointegrating vector estimator in the error correction model with stationary covariates, which combines the stationary vector autoregressive model and the nonstationary error correction model. The cointegrating vector estimator is shown to follow the locally asymptotically mixed normal distribution. The variance of the estimator depends on the co­variate effect of stationary regressors, and the asymptotic efficiency improves as the magnitude of the covariate effect increases. An economic application of the money demand equation is provided.

Estimation of Mean Residual Life under Random Censorship Model Using Partial Moment Approximation

  • Park, Byung Gu;Lee, Jae Man;Cha, Young Joon
    • Journal of Korean Society for Quality Management
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    • v.22 no.3
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    • pp.111-118
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    • 1994
  • In this paper we propose a parametric and a nonparametric small sample estimators for the mean residual life (MRL) under the random censorship model using the partial moment approximation. We also compare the proposed nonparametric estimator with the well-known nonparametric MRL estimator based on Kaplan-Meier estimator of the survival function, and present the efficiency of the nonparametric method relative to the Weibull model for small samples.

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Pitfalls in the Application of the COTE in a Linear Regression Model with Seasonal Data

  • Seuck Heun Song;YouSung Park
    • Communications for Statistical Applications and Methods
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    • v.4 no.2
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    • pp.353-358
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    • 1997
  • When the disturbances in the linear repression medel are generated by a seasonal autoregressive scheme the Cochrane Orcutt transformation estimator (COTE) is a well known alternative to Generalized Least Squares estimator (GLSE). In this paper it is analyzed in which situation the Ordinary Least Squares estimator (OLSE) is always better than COTE for positive autocorrelation in terms of efficiency which is here defined as the ratio of the total variances.

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A Comparison of Variance Lower Bound between the Optimum Allocation and the Power Allocation

  • Son, Chang-Kyoon
    • Communications for Statistical Applications and Methods
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    • v.10 no.1
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    • pp.79-88
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    • 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.

Weighing adjustment avoiding extreme weights (이상적(異常的) 가중치를 줄이는 가중치 조정 방법 연구)

  • 김재광
    • Proceedings of the Korean Association for Survey Research Conference
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    • 2003.06a
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    • pp.19-28
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    • 2003
  • Weighting adjustment is a method of improving the efficiency of the estimator by incorporating auxiliary variables at the estimation stage. One commonly used method of weighting adjustment is the poststratification, which is a special case of regression estimation but is relatively feasible in terms of actual implementation. If too many auxiliary variables are used in the poststratification, the bias of the resulting point estimator is no longer negligible and the final weights may have extreme weights. In this study, we propose a method of weight ing adjustment that compromises the efficiency and the bias of the point estimator. A limited simulation study is also presented.

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Modified Ranked Ordering Set Samples for Estimating the Population Mean

  • Kim, Hyun-Gee;Kim, Dong-Hee
    • Communications for Statistical Applications and Methods
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    • v.14 no.3
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    • pp.641-648
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    • 2007
  • We propose the new sampling method, called modified ranked ordering set sampling (MROSS). Kim and Kim (2003) suggested the sign test using the ranked ordering set sampling (ROSS), and showed that the asymptotic relative efficiency (ARE) of ROSS against RSS for sign test increases as sample size does. We propose the estimator for the population mean using MROSS. The relative precision (RP) of estimator of the population mean using MROSS method with respect to the usual estimator using modified RSS is higher, and when the underlying distribution is skewed, the bias of the proposed estimator is smaller than that of several ranked set sampling estimators.

MTBF Estimator in Reliability Growth Model with Application to Weibull Process (와이블과정을 응용한 신뢰성 성장 모형에서의 MTBF 추정$^+$)

  • 이현우;김재주;박성현
    • Journal of Korean Society for Quality Management
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    • v.26 no.3
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    • pp.71-81
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    • 1998
  • In reliability analysis, the time difference between the expected next failure time and the current failure time or the Mean Time Between Failure(MTBF) is of significant interest. Until recently, in reliability growth studies, the reciprocal of the intensity function at current failure time has been used as being equal to MTBE($t_n$)at the n-th failure time $t_n$. That is MTBF($t_n$)=l/$\lambda (t_n)$. However, such a relationship is only true for Homogeneous Poisson Process(HPP). Tsokos(1995) obtained the upper bound and lower bound for the MTBF($t_n$) and proposed an estimator for the MTBF($t_n$) as the mean of the two bounds. In this paper, we provide the estimator for the MTBF($t_n$) which does not depend on the value of the shape parameter. The result of the Monte Carlo simulation shows that the proposed estimator has better efficiency than Tsokos's estimator.

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Simple Estimation in Proportional Odds Model under Censoring

  • Kim, Ju-Sung;Seo, Min-Ja;Won, Dong-Yu
    • Journal of the Korean Data and Information Science Society
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    • v.16 no.4
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    • pp.889-898
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    • 2005
  • In this paper we propose a new estimator of relative odds ratio in the two-sample case of proportional odds model under censorship. Also, we show that the estimator consistent and asymptotically normal by using martingale-representation. The efficiency of the proposed is assessed through a simulation study.

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Estimation in a Two-Sample Proportional Odds Model

  • Kim, Ju-Sung;Seo, Min-Ja
    • Journal of the Korean Data and Information Science Society
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    • v.16 no.2
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    • pp.327-334
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    • 2005
  • In this paper we propose a new estimator of relative odds ratio in the two-sample case of proportional odds model. Also, we show that the estimator is consistent and asymptotically normal. The efficiency of the proposed is assessed through a simulation study.

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