• Title/Summary/Keyword: Error estimator

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Boundary Corrected Smoothing Splines

  • Kim, Jong-Tae
    • Journal of the Korean Data and Information Science Society
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    • v.9 no.1
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    • pp.77-88
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    • 1998
  • Smoothing spline estimators are modified to remove boundary bias effects using the technique proposed in Eubank and Speckman (1991). An O(n) algorithm is developed for the computation of the resulting estimator as well as associated generalized cross-validation criteria, etc. The asymptotic properties of the estimator are studied for the case of a linear smoothing spline and the upper bound for the average mean squared error of the estimator given in Eubank and Speckman (1991) is shown to be asymptotically sharp in this case.

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Fast Gain Scheduling Using Fuzzy Disturbance Estimator

  • Lee, Seon-Ho
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.48.5-48
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    • 2001
  • The resulting stabilizing controller in this paper consists of the disturbance estimator and the gain scheduled controller. The disturbance estimator tracks the unknown external disturbance and its derivative information in the closed-loop control system using fuzzy logic based adaptation law. Moreover, the gains of the stabilizing controller are appropriately scheduled according to the estimated values. Furthermore, since the estimation law is combined with the stabilizing controller in the closed control loop, it asymptotically minimizes the estimation error. In order to conrm the usefulness of the proposed control scheme, it is applied to the magnetic suspension systems.

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On Jacknife Reliability Estimation in the Weibull Case

  • Lee, In-Suk;Keum, Yoon-Hee
    • Journal of the Korean Data and Information Science Society
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    • v.13 no.2
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    • pp.39-44
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    • 2002
  • We compare MISE of the MLE, UMVUE, invariantly optimal estimator and Jacknife estimator for the reliability function of the Weibull distribution when the sample size is small.

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Decision of Sample Size on Successive Occasions (계속조사에서의 표본크기 결정)

  • Park, Hyeonah;Na, Seongryong
    • The Korean Journal of Applied Statistics
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    • v.27 no.4
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    • pp.513-521
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    • 2014
  • If the target error of an estimator at the present time is greater than the coefficient of variation(CV) of the estimator at the previous time, sample size at this point should be decreased. Various papers have researched sample size determination methods using the CV of an estimator at the previous time, variation of population size and target error of the estimator at this time in sampling on successive occasions. We research a new sample size determination method additionally using change of population CV. We compare the proposed method with existing ones in various simulation settings.

A Study on the Bayes Estimation Application for Korean Standard-Quality Excellence Index(KS-QEI) (베이즈 추정방식의 품질우수성지수 적용 방안에 관한 연구)

  • Kim, Tai Kyoo;Kim, Myung Joon
    • Journal of Korean Society for Quality Management
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    • v.42 no.4
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    • pp.747-756
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    • 2014
  • Purpose: The purpose of this study is to apply the Bayesian estimation methodology for producing 'Korean Standard -Quality Excellence Index' model and prove the effectiveness of the new approach based on survey data by comparing the current index with the new index produced by Bayesian estimation method. Methods: The 'Korean Standard -Quality Excellence Index' was produced through the collected survey data by Bayesian estimation method and comparing the deviation with two results for confirming the effectiveness of suggested application. Results: The statistical analysis result shows that suggested estimator, that is, empirical Bayes estimator improves the effectiveness of the index with regard to reduce the error under specific loss function, which is suggested for checking the goodness of fit. Conclusion: Considering the Bayesian techniques such as empirical Bayes estimator for producing the quality excellence index reduces the error for estimating the parameter of interest and furthermore various Bayesian perspective approaches seems to be meaningful for producing the corresponding index.

A Study on Nonlinear Noise Removal for Images Corrupted with ${\alpha}$-Stable Random Noise (${\alpha}$-stable 랜덤잡음에 노출된 이미지에 적용하기 위한 비선형 잡음제거 알고리즘에 관한 연구)

  • Hahn, Hee-Il
    • Journal of the Institute of Electronics Engineers of Korea SP
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    • v.44 no.6
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    • pp.93-99
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    • 2007
  • Robust nonlinear image denoising algorithms for the class of ${\alpha}$-stable distribution are introduced. The proposed amplitude-limited sample average filter(ALSAF) proves to be the maximum likelihood estimator under the heavy-tailed Gaussian noise environments. The error norm for this estimator is equivalent to Huber#s minimax norm. It is optimal in the respect of maximizing the efficacy under the above noise environment. It is mired with the myriad filter to propose an amplitude-limited myriad filter(ALMF). The behavior and performance of the ALSAF and ALMF in ${\alpha}$-stable noise environment are illustrated and analyzed through simulation.

Output-Feedback Input-Output Linearizing Controller for Nonlinear System Using Backward-Difference State Estimator (후방차분 상태 추정기를 이용한 비선형 계통의 입출력 궤환 선형화 제어기)

  • Kim, Seong-Hwan;Park, Jang-Hyun
    • Journal of IKEEE
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    • v.9 no.1 s.16
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    • pp.72-78
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    • 2005
  • This paper describes the design of a robust output-feedback controller for a single-input single-output nonlinear dynamical system with a full relative degree. While all the previous research works on the output-feedback control are based on dynamic observers, a new state estimator which uses the past values of the measurable system output is proposed. We name it backward-difference state estimator since the derivatives of the output are estimated simply by backward difference of the present and past values of the output. The disturbance generated due to the error between the estimated and real state variables is compensated using an additional robustifying control law whose gain is tuned adaptively. Overall control system guarantees that the tracking error is asymptotically convergent and that all signals involved are uniformly bounded. Theoretical results are illustrated through a simulation example of inverted pendulum.

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Estimation of Branch Topology Errors in Power Networks by WLAN State Estimation (최소절대값 상태추정에 의한 전력계통 선로 토폴로지 에러의 추정)

  • Kim, Hong-Rae;Song, Gyeong-Bin
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.49 no.6
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    • pp.259-265
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    • 2000
  • The purpose of this paper is to detect and identify topological errors in order to maintain a reliable database for the state estimator. In this paper, a two stage estimation procedure is used to identify the topology errors. At the first stage, the WSAV state estimator which has characteristics to remove bad data during the estimation procedure is run for finding out the suspected branches at which topology errors take place. The resulting residuals are normalized and the measurements with significant normalized residuals are selected. A set of suspected branches is formed based on these selected measurements; if the selected measurement is a line flow, the corresponding branch is suspected; if it is an injection, then all the branches connecting the injection bus to its immediate neighbors are suspected. A new WLAV state estimator adding the branch flow errors in the state vector is developed to identify the branch topology errors. Sample cases of single topology error and topology error with a measurement error are applied to IEEE 14 bus test system.

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Comparison of Efficiency between Individual Randomization and Cluster Randomization in the Field Trial (지역사회 임상시험시 개인별 무작위배정과 군집 무작위배정의 효율성 비교)

  • Koo, Hye-Won;Kwak, Min-Jeong;Lee, Young-Jo;Park, Byung-Joo
    • Journal of Preventive Medicine and Public Health
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    • v.33 no.1
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    • pp.51-55
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    • 2000
  • Objectives . In large-scale field trials, randomization by cluster is frequently used because of the administrative convenience, a desire to reduce the effect of treatment contamination, and the need to avoid ethical issues that might of otherwise arise. Cluster randomization trials are experiments in which intact social unit, e.g., families, schools, cities, rather than independent individuals are randomly allocated to intervention groups. The positive correlation among responses of subjects from the same cluster is in matter in cluster randomization. This thesis is to compare the results of three randomization methods by standard error of estimator of treatment effect. Methods : We simulated cholesterol data varing the size of the cluster and the level of the correlation in clusters and analyzed the effect of cholesterol-lowering agent. Results : In intra-cluster randomization the standard error of the estimator of treatment effect is smallest relative to that in inter-cluster randomization and that in individual randomization. Conclusions : Infra-cluster randomization is the most efficient in its standard error of estimator of treatment effect but other factor should be considered when selecting a specific randomization method.

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