• Communications for Statistical Applications and Methods
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• 제6권3호
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• pp.919-928
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• 1999

We shall propose the MME MLE and UMVUE for the mean parameter and the right-tail probability in a power function distribution and obtain the mean squared errors for the proposed estimators. And we shall compare numerically efficiencies of the MME MLE and UMVUE of the mean parameter and the right-tail probability in a power function distribution.

• Communications for Statistical Applications and Methods
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• 제4권2호
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• pp.445-452
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• 1997

In this paper, twicing technique for the improvement of asymptotic boundary bias in nonparametric regression is considered. Asymptotic mean squared errors of the nonparametric regression estimators are derived at the boundary region by twicing the Nadaraya-Waston and local linear smoothing. Asymptotic biases of the resulting estimators are of order$h^2$and$h^4$ respectively.

• Communications for Statistical Applications and Methods
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• 제7권1호
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• pp.87-96
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• 2000

Nonlinear time series prediction is derived and compared between statistic of modeling and neural network method. In particular mean squared errors of predication are obtained in generalized random coefficient model and generalized autoregressive conditional heteroscedastic model and compared with them by neural network forecasting.

• 응용통계연구
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• 제26권2호
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• pp.237-252
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• 2013

보험료 및 보험료 구성요소에 대한 예측모형은 합리적인 보험료 결정에 필수적이다. 본 연구에서는 가변수 회귀모형, 독립변수 추가모형, 자기회귀 오차모형, 계절형 ARIMA 모형, 개입모형 등 적정한 자동차 대물 손해보험료 추정에 사용되는 다양한 모형을 소개하였다. 또한 실제 자동차 대물 보험료 자료를 이용하여 각 모형을 이용하여 보험료, 심도, 빈도 등을 추정하였으며, 모형의 추정결과는 추정치와 실제 자료값의 차이에 근거한 RMSE(Root Mean Squared Errors) 값을 통해 비교하였다. 실제 자료 분석 결과, 자기회귀 오차모형이 가장 좋은 성능을 보여주는 것을 알 수 있었다.

• 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.

• 한국통계학회:학술대회논문집
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• 한국통계학회 2002년도 춘계 학술발표회 논문집
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• pp.19-24
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• 2002

The two-way balanced one-level rotation design has been discussed (Park, Kim and Choi, 2001), where the two-way balancing is done on interview time in monthly sample and rotation group. We extend it to three-way balanced multi-level design under the most general rotation system. The three-way balancing is accomplished on interview time not only in monthly sample and rotation group but also in recall time. We present the necessary condition and rotation algorithm which guarantee the three-way balancing. We propose multi-level composite estimators (MCE) from this design and derive their variances and mean squared errors (MSE), assuming the correlation from the measurements of the same sample unit and three types of biases in monthly sample.

• 응용통계연구
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• 제25권4호
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• pp.681-695
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• 2012

In this paper, a family of estimators for the finite population variance investigated by Srivastava and Jhajj (1980) is studied under two different situations of random non-response considered by Tracy and Osahan (1994). Asymptotic expressions for the biases and mean squared errors of members of the proposed family are obtained; in addition, an asymptotic optimum estimator(AOE) is also identified. Estimators suggested by Singh and Joarder (1998) are shown to be members of the proposed family. A correction to the Singh and Joarder (1998) results is also presented.

• Journal of the Korean Data and Information Science Society
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• 제21권5호
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• pp.951-958
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• 2010

In this paper, we obtain the restricted maximum likelihood estimators (RMLE's) for means in normal distributions with the ordered mean constraints. The biases and mean squared errors (MSE's) of these RMLE's are approximated by Mote Carlo methods. In every case a substantial savings in MSE is obtained at the expense of a small loss in bias when using RMLE's instead of the unrestricted MLE's.

• Journal of the Korean Statistical Society
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• 제28권2호
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• pp.225-234
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• 1999

We consider the following semi-parametric non-linear mixed effect regression model : y\ulcorner=f($\chi$\ulcorner;$\beta$)+$\sigma$$\mu$($\chi$\ulcorner)+$\sigma$$\varepsilon$\ulcorner,i=1,…,n,y*=f($\chi$;$\beta$)+$\sigma$$\mu$($\chi$) where y'=(y\ulcorner,…,y\ulcorner) is a vector of n observations, y* is an unobserved new random variable of interest, f($\chi$;$\beta$) represents fixed effect of known functional form containing unknown parameter vector $\beta$\ulcorner=($\beta$$_1$,…,$\beta$\ulcorner), $\mu$($\chi$) is a random function of mean zero and the known covariance function r(.,.), $\varepsilon$'=($\varepsilon$$_1$,…,$\varepsilon$\ulcorner) is the set of uncorrelated measurement errors with zero mean and unit variance and $\sigma$ is an unknown dispersion(scale) parameter. On the basis of finite-sample, small-dispersion asymptotic framework, we derive an absolute lower bound for the asymptotic mean squared errors of prediction(AMSEP) of the regular-consistent non-linear predictors of the new random variable of interest y*. Then we construct an optimal predictor of y* which attains the lower bound irrespective of types of distributions of random effect $\mu$(.) and measurement errors $\varepsilon$.

• 한국통신학회논문지
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• 제18권7호
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• pp.907-912
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• 1993

본 논문에서는 신경회로망을 이용하여 함수 내삽을 위한 방법을 제안한다. 사용한 신경회로망의 구조는 3-layer포셉트론이고 학습 알고리듬은 은닉층 가변 오차역전파알고리듬이다. 내삽하는 함수는 sin(7 X),3rd order polynomial 및 사각파이다. 내삽된 함수들의 근평균제곱오차(root mean squared errors)는 각각 0.00258, 0.00164 및 0.0011s이다.