• Journal of applied mathematics & informatics
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• v.9 no.2
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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.

• Journal of the Korean Data and Information Science Society
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• v.15 no.1
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• pp.193-200
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• 2004

Parametric estimation of truncated point in a truncated exponential distribution will be considered. The MLE, bias reducing estimator and the ordinary jackknife estimator of the truncated parameter will be compared by mean square errors. And the MME and MLE of mean parameter and estimations of the right tail probability in the distribution will be compared by their MSE's.

• Journal of the Korean Data and Information Science Society
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• v.17 no.3
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• pp.1021-1028
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• 2006

We shall propose ML, ordinary jackknife and biased reducing estimators of the parameter in the right truncated exponential distribution with an unidentified uniform outlier when the truncated point is unknown and their biases and MSE's are compared numerically each other in the small sample sizes.

• Journal of the Korean Data and Information Science Society
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• v.6 no.1
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• pp.85-96
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• 1995

The purpose of this paper is to propose the kernel density estimator and the jackknife kernel density estimator in the presence of k's unidentified outliers, and to compare the small sample performances of the proposed estimators in a sense of mean integrated square error(MISE).

• Communications for Statistical Applications and Methods
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• v.4 no.2
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• pp.507-514
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• 1997

Three kinds of unbiased estimators of standard deviation in a truncated arcsine distribution based on the quasi-range, the jackknife quasi-range, and the angle jackknife range are proposed and numerically compared each other in a sense of MSE.

• Journal of Korea Water Resources Association
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• v.42 no.10
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• pp.857-866
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• 2009

In this study, basic data is consisted annual maximum rainfall at 56 stations that has the rainfall records more than 30years in Korea. The 14 probability distributions which has been widely used in hydrologic frequency analysis are applied to the basic data. The method of moments, method of maximum likelihood and probability weighted moments method are used to estimate the parameters. And 4-tests (chi-square test, Kolmogorov-Smirnov test, Cramer von Mises test, probability plot correlation coefficient (PPCC) test) are used to determine the goodness of fit of probability distributions. This study emphasizes the necessity for considering the variability of the estimate of T-year event in hydrologic frequency analysis and proposes a framework for evaluating probability distribution models. The variability (or estimation error) of T-year event is used as a criterion for model evaluation as well as three goodness of fit criteria (SLSC, MLL, and AIC) in the framework. The Jackknife method plays a important role in estimating the variability. For the annual maxima of rainfall at 56 stations, the Gumble distribution is regarded as the best one among probability distribution models with two or three parameters.

• Journal of the Korean Mathematical Society
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• v.32 no.1
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• pp.77-84
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• 1995

Many authors have utilized an exponential distribution because of its wide applicability in reliability engineering and statistical inferences (see Bain & Engelhart(1987) and Saunders & Mann(1985)). Here we are considering the parametric estimation in an exponential distribution when its scale and location parametes are linear functions of a known exposure level t, which often occurs in the engineering and physical phenomena.

• Journal of the Korean Data and Information Science Society
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• v.17 no.4
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• pp.1343-1348
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• 2006

Parametric estimation of a truncated point in a right truncated Rayleigh distribution will be considered. The MLE, a bias reduced estimator and the ordinary jackknife estimator of the truncated point in the right truncated Rayleigh distribution will be compared by mean square errors. And proposed estimators of the reliability in the right truncated Rayleigh distribution will be compared by their mean squared errors.

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

• Proceedings of the Korean Statistical Society Conference
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• 2002.11a
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• pp.327-332
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• 2002

Variance estimation for the regression estimator for a two-phase sample is investigated. A replication variance estimator with number of replicates equal to or slightly larger than the size of the second-phase sample is developed. In these cases, the proposed method is asymptotically equivalent to the full jackknife, but uses smaller number of replications.