• Title/Summary/Keyword: Estimator

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A Study on Bandwith Selection Based on ASE for Nonparametric Regression Estimator

  • Kim, Tae-Yoon
    • Journal of the Korean Statistical Society
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    • v.30 no.1
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    • pp.21-30
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    • 2001
  • Suppose we observe a set of data (X$_1$,Y$_1$(, …, (X$_{n}$,Y$_{n}$) and use the Nadaraya-Watson regression estimator to estimate m(x)=E(Y│X=x). in this article bandwidth selection problem for the Nadaraya-Watson regression estimator is investigated. In particular cross validation method based on average square error(ASE) is considered. Theoretical results here include a central limit theorem that quantifies convergence rates of the bandwidth selector.tor.

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A New Estimator for Seasonal Autoregressive Process

  • So, Beong-Soo
    • Journal of the Korean Statistical Society
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    • v.30 no.1
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    • pp.31-39
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    • 2001
  • For estimating parameters of possibly nonlinear and/or non-stationary seasonal autoregressive(AR) processes, we introduce a new instrumental variable method which use the direction vector of the regressors in the same period as an instrument. On the basis of the new estimator, we propose new seasonal random walk tests whose limiting null distributions are standard normal regardless of the period of seasonality and types of mean adjustments. Monte-Carlo simulation shows that he powers of he proposed tests are better than those of the tests based on ordinary least squares estimator(OLSE).

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Lagged Unstable Regressor Models and Asymptotic Efficiency of the Ordinary Least Squares Estimator

  • Shin, Dong-Wan;Oh, Man-Suk
    • Journal of the Korean Statistical Society
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    • v.31 no.2
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    • pp.251-259
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    • 2002
  • Lagged regressor models with general stationary errors independent of the regressors are considered. The regressor process is unstable having characteristic roots on the unit circle. If the order of the lag matches the number of roots on the unit circle, the ordinary least squares estimator (OLSE) is asymptotically efficient in that it has the same limiting distribution as the generalized least squares estimator (GLSE) under the same normalization. This result extends the well-known result of Grenander and Rosenblatt (1957) for asymptotic efficiency of the OLSE in deterministic polynomial and/or trigonometric regressor models to a class of models with stochastic regressors.

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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EFFICIENT REPLICATION VARIANCE ESTIMATION FOR TWO-PHASE SAMPLING

  • Kim, Jae-Kwang;Sitter, Randy
    • 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.

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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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    • 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.

Fine Frequency Synchronization Method for MB-OFDM UWB Systems

  • You, Young-Hwan
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.33 no.8C
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    • pp.613-616
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    • 2008
  • In this paper, a fine residual frequency offset estimation scheme is proposed for multiband orthogonal frequency division multiplexing ultra-wideband (MB-OFDM UWB) systems. The basic idea of our approach is based on the fact that two adjacent OFDM symbols carry the identical information in the MB-OFDM UWB system, thus removing the need of pilot symbols. The mean square error of the synchronization scheme is evaluated and simulation results are used to verify the effectiveness of the proposed estimator. When compared to the pilot-aided conventional estimator, the proposed estimator has a lower estimation error.

Sensorless Vector Control of Induction Motor Using the Flux Estimator (자속추정기를 이용한 유도전동기 센서리스 벡터제어)

  • 김경서;조병국
    • The Transactions of the Korean Institute of Electrical Engineers B
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    • v.52 no.2
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    • pp.87-92
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    • 2003
  • This paper presents a flux estimator for the sensorless vector control of induction motors. The proposed method utilize the combination of the voltage model based on stator equivalent model and the current model based on rotor equivalent model, which enables stable estimation of rotor flux in high speed region and in low speed region. The dynamic performance of proposed method is verified through the experiment. The experimental results show that motors ran easily start even under 150[%] load condition and operate continuously below 0.5[Hz].

A Robust Estimation Procedure for the Linear Regression Model

  • Kim, Bu-Yong
    • Journal of the Korean Statistical Society
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    • v.16 no.2
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    • pp.80-91
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    • 1987
  • Minimum $L_i$ norm estimation is a robust procedure ins the sense that it leads to an estimator which has greater statistical eficiency than the least squares estimator in the presence of outliers. And the $L_1$ norm estimator has some desirable statistical properties. In this paper a new computational procedure for $L_1$ norm estimation is proposed which combines the idea of reweighted least squares method and the linear programming approach. A modification of the projective transformation method is employed to solve the linear programming problem instead of the simplex method. It is proved that the proposed algorithm terminates in a finite number of iterations.

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Exact Variance of Location Estimator in One-Way Random Effect Models with Two Distint Group Sizes

  • Lee, Young-Jo;Chung, Han-Yeong
    • Journal of the Korean Statistical Society
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    • v.18 no.2
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    • pp.118-124
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    • 1989
  • In the one-way random effect model, we often estimate the variance components by the ANOVA method and then estimate the population mean. Whe there are only two distint group sizes, the conventional mean estimator is represented as a weighted average of two normal means with weights being the function of variance component estimators. In this paper, we will study a method which can compute the exact variance of the mean estimator when we set the negative variance component estimate to zero.

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