• Title/Summary/Keyword: unknown parameters

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THE BEST CHOICE OF SUBSAMPLE SIZE (m,k) IN 3 STAGE SAMPLING (3단계 표본 추출에 있어서 부차표본(m,k)의 최상 선택)

  • 정훈조
    • Journal of applied mathematics & informatics
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    • v.3 no.1
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    • pp.101-115
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    • 1996
  • In this paper we extend the best choice of subsample size m in the 2-stage sampling which suggested by Mohammad(1986) to the 3-stage sampling in cases of known and of unknown cost and variance ratio. We find the subsample size m.k which ensures more than the relative efficiency 90% Also we see that the choice of 3-stage subsample size depends on the design parameters using in 2-stage sampling.

Development of a Computer Program to Calculate Thermodynamic Properties of Oxygen (산소의 열역학 상태량 계산을 위한 전산 프로그램 개발)

  • Park, Kyoung-Kuhn
    • Proceedings of the KSME Conference
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    • 2003.11a
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    • pp.256-260
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    • 2003
  • A computer program to calculate thermodynamic properties of oxygen is developed. Procedures for the calculation is briefly discussed. The program calculates unknown thermodynamic properties fixing the state with two independent input properties. If input value by user is inappropriate, it displays an error message. In addition user can change units with easy. The program developed in this work can be utilized to calculate parameters required for the simulation and design of an equipment using oxygen.

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Restoration of Bi-level Images via Iterative Semi-blind Wiener Filtering (반복 semi-blind 위너 필터링을 이용한 이진영상의 복원)

  • Kim, Jeong-Tae
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.57 no.7
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    • pp.1290-1294
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    • 2008
  • We present a novel deblurring algorithm for bi-level images blurred by some parameterizable point spread function. The proposed method iteratively searches unknown parameters in the point spread function and noise-to-signal ratio by minimizing an objective function that is based on the binariness and the difference between two intensity values of restoring image. In simulations and experiments, the proposed method showed improved performance compared with the Wiener filtering based method in terms of bit error rate after segmentation.

A Study on System Identification using Haar Functions (Haar함수를 이용한 시스템 동정에 관한 연구)

  • 안두수;채영무;이명규
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.36 no.4
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    • pp.287-292
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    • 1987
  • This paper deals with applications of Haar functions to parameter identification of linear systems. It is first introuduced to a new operational matrix which relates Haar functions and their integrations. The matrix can be used to identify the parameters of unknown linear systems by a least squares estimation. And then, the state equation of given systems is transformed into a computationally convenient algebraic form. This approach provides a more efficient method for the system identification problem.

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Sliding Mode Controller Design Based On The Fuzzy Observer For Uncertain Nonlinear System (불확실한 비선형 시스템의 퍼지 관측기 기반의 슬라이딩 모드 제어기 설계)

  • 서호준;박장현;허성희;박귀태
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.284-284
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    • 2000
  • In adaptive fuzzy control systems. fuzzy systems are used to approximate the unknown plant nonlinearities. Until now. most of the papers in the field of controller design for nonlinear system using fuzzy systems considers the affine system with fixed grid-rule structure based on system state availability. This paper considers observer-based nonlinear controller and dynamic fuzzy rule structure. Adaptive laws for fuzzy parameters for state observer and fuzzy rule structure are established so that the whole system is stable in the sense of Lyapunov.

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Empirical Bayes Estimation of the Binomial and Normal Parameters

  • Hong, Jee-Chang;Inha Jung
    • Communications for Statistical Applications and Methods
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    • v.8 no.1
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    • pp.87-96
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    • 2001
  • We consider the empirical Bayes estimation problems with the binomial and normal components when the prior distributions are unknown but are assumed to be in certain families. There may be the families of all distributions on the parameter space or subfamilies such as the parametric families of conjugate priors. We treat both cases and establish the asymptotic optimality for the corresponding decision procedures.

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Admissible Estimation for Parameters in a Family of Non-regular Densities

  • Byung Hwee Kim;In Hong Chang
    • Communications for Statistical Applications and Methods
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    • v.2 no.2
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    • pp.52-62
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    • 1995
  • Consider an estimation problem under squared error loss in a family of non-regular densities with both terminals of the support being decreasing functions of an unknown parameter. Using Karlin's(1958) technique, sufficient conditions are given for generalized Bayes estimators to be admissible for estimating an arbitrarily positive, monotone parametric function and then treat some examples which illustrate our results.

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Test of Hypotheses based on LAD Estimators in Nonlinear Regression Models

  • Seung Hoe Choi
    • Communications for Statistical Applications and Methods
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    • v.2 no.2
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    • pp.288-295
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    • 1995
  • In this paper a hypotheses test procedure based on the least absolute deviation estimators for the unknown parameters in nonlinear regression models is investigated. The asymptotic distribution of the proposed likelihood ratio test statistic are established voth under the null hypotheses and a sequence of local alternative hypotheses. The asymptotic relative efficiency of the proposed test with classical test based on the least squares estimator is also discussed.

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A Method of Obtaning Least Squares Estimators of Estimable Functions in Classification Linear Models

  • Kim, Byung-Hwee;Chang, In-Hong;Dong, Kyung-Hwa
    • Journal of the Korean Statistical Society
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    • v.28 no.2
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    • pp.183-193
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    • 1999
  • In the problem of estimating estimable functions in classification linear models, we propose a method of obtaining least squares estimators of estimable functions. This method is based on the hierarchical Bayesian approach for estimating a vector of unknown parameters. Also, we verify that estimators obtained by our method are identical to least squares estimators of estimable functions obtained by using either generalized inverses or full rank reparametrization of the models. Some examples are given which illustrate our results.

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Parameter Estimation for an Infinite Dimensional Stochastic Differential Equation

  • Kim, Yoon-Tae
    • Journal of the Korean Statistical Society
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    • v.25 no.2
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    • pp.161-173
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    • 1996
  • When we deal with a Hilbert space-valued Stochastic Differential Equation (SDE) (or Stochastic Partial Differential Equation (SPDE)), depending on some unknown parameters, the solution usually has a Fourier series expansion. In this situation we consider the maximum likelihood method for the statistical estimation problem and derive the asymptotic properties (consistency and normality) of the Maximum Likelihood Estimator (MLE).

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