• 제목/요약/키워드: the least square method

검색결과 1,781건 처리시간 0.031초

An estimation of the treatment eect for the right censored data

  • Park, Hyo-Il;Kim, Ju-Sung
    • Journal of the Korean Data and Information Science Society
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    • 제22권3호
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    • pp.537-547
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    • 2011
  • In this article, we propose an estimation procedure for the treatment eect for the right censored data. We apply the least square method for deriving the estimation equation and obtain an explicit formula for an estimation. Then we consider some asymptotic properties with derivation of the asymptotic normality for the estimate. Finally we illustrate our procedure with an example and discuss some interesting aspects for the estimation procedure.

시간지연이 큰 미지의 시스템에 대한 최적 P.I.D 제어기 설계 (Design of optimal P.I.D controller for unknwon long time delayed system)

  • 박익수;문병희
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1996년도 한국자동제어학술회의논문집(국내학술편); 포항공과대학교, 포항; 24-26 Oct. 1996
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    • pp.164-167
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    • 1996
  • This paper presents an off-line P.I.D parameter estimation method during normal operation in power plant. The process parameters are estimated using the recursive least square method. The controller parameters are estimated on the basis of desired characteristics of the dynamic model of the closed-loop control.

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매립토공량 계산식에 관한 연구 (A Study on the Reclamation Earthwork Calculation Formula)

  • 이용희;문두열
    • 한국항만학회지
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    • 제15권1호
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    • pp.87-97
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    • 2001
  • The calculation of earthwork plays a major role in plan or design of many civil engineering projects, and thus it has become very important to advanced the accuracy of earthwork calculation. Current method used for estimating the volume of pit excavation assumes that the ground profile between the grid points is linear(trapezoidal rule), or nonlinear(simpson's formulas). In this paper the spot height method, least square method, and chamber formulas, Chen and Lin method are compared with the volumes of the pits in these examples. As a result of this study, algorithm of chen and Lin me쇙 by spline method should provide a better accuracy than the spot height method, least square method, chamber formulas. The Chen and Lin formulas can be used for estimating the excavation volume of a pit divide into a grid with unequal intervals. From the characteristics of the cubic spline polynomial, the modeling curve of the Chen and Lin method is smooth and matches the ground profile well. Generally speaking, the nonlinear profile formulas provide better accuracy than the linear profile formulas. The mathematical model mentioned make an offer maximum accuracy in estimating the volume of a pit excavation.

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Least Square Method: A Novel Approach to Determine Symmetrical Components of Power System

  • Rehman, Bilawal;Liu, Chongru;Wang, Lili
    • Journal of Electrical Engineering and Technology
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    • 제12권1호
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    • pp.39-44
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    • 2017
  • This paper proposes a novel approach to determine symmetrical components of power system by applying method of least squares in time domain. For the modern power system stability, clearance of faults on high voltage transmission lines in zero response time is crucial and important. Symmetrical components have a great attention since last century. They have been found an effective tool for the analysis of symmetrical and unsymmetrical faults in power system. Moreover, magnitude of symmetrical components are also used as a caution about faults in system. With rapid changes in technology, Microprocessor assumed to be fastest machine of the modern era. Hence microprocessor based techniques were developed and implemented for last few decades. The proposed technique apply least square method in the computation of symmetrical components which is suitable as an application in microprocessor based monitoring and controlling power system in order to avoid cascading failures. Simulation of proposed model is carried out in MATLAB/SIMULINK and all results exploit the validity of model.

음성강화를 위한 이동 평균 예측량 기반의 검출방법 최적화 (Optimization of Detection Method Using a Moving Average Estimator for Speech Enhancement)

  • 이수정;신계현;김순협
    • 대한전자공학회논문지SP
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    • 제44권3호
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    • pp.97-104
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    • 2007
  • 적응 반향제거기는 휴대전화나 음성 인식 시스템과 같은 음성 통신 시스템에서 중요한 부분의 하나로 자리잡았다. 이러한 응용에서 반향경로는 긴 임펄스 응답을 가지게 된다. 본 논문에서는 음향반향제거를 위해 Moving-Average Least Mean Square(MVLMS) 알고리즘을 제안하였다. 유색 입력 모델을 이용한 실험 결과는 MVLMS 검출 알고리즘이 Least Mean Square 검출 알고리즘에 비해 수렴 성능이 우위에 있음을 입증하였다. MVLMS 알고리즘은 약간의 계산 복잡도 향상이 있지만, 표준 LMS 검출 알고리즘에 비해 월등한 안정성 향상을 가져온다.

선형 이산화 입력-출력 모형의 매개변수 결정에 관한 연구 (Estimation of Parameters of the Linear, Discrete, Input-Output Model)

  • 강주복;강인식
    • 한국환경과학회지
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    • 제2권3호
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    • pp.193-199
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    • 1993
  • This study has two objectives. One is developing the runoff model for Hoe-Dong Reservoir basin located at the upstream of Su-Young River in Pusan. To develop the runoff model, basic hydrological parameters - curve number to find effective rainfall, and storage coefficient, etc. - should be estimated. In this study, the effective rainfall was calculated by the SCS method, and the storage coefficient used in the Clark watershed routing was cited from the report of P.E.B. The other is the derivation of transfer function for Hoe-Dong Reservoir basin. The linear, discrete, input-output model which contained six parameters was selected, and the parameters were estimated by the least square method and the correlation function method, respectively. Throughout this study, rainfall and flood discharge data were based on the field observation in 1981.8.22 - 8.23 (typhoon Gladys). It was observed that the Clark watershed routing regenerated the flood hydrograph of typhoon Gladys very well, and this fact showed that the estimated hydrological parameters were relatively correct. Also, the calculated hydrograph by the linear, discrete, input-output model showed good agreement with the regenerated hydrograph at Hoe-Dong Dam site, so this model can be applicable to other small urban areas. Key Words : runoff, effective rainfall, SCS method, clark watershed iou상ng, hydrological parameters, parameter estimation, least square method, correlation function method, input-output model, typhoon gladys.

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모드중첩법 및 최소자승법을 통한 고충격 압저항 미소가속도계의 출력전압 해석 (Fast Simulation of Output Voltage for High-Shock Piezoresistive Microaccelerometer Using Mode Superposition Method and Least Square Method)

  • 한정삼;권기범
    • 대한기계학회논문집A
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    • 제36권7호
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    • pp.777-787
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    • 2012
  • 본 논문에서는 여러 가지 충격하에서 압저항 고충격 미소가속도계의 과도 출력전압의 계산시 발생하는 방대한 계산 시간 문제를 모드중첩법 및 최소자승법을 이용하여 압저항 미소가속도계의 실시간 출력전압 계산이 가능하도록 효율적인 출력전압 과도해석 방법을 제안한다. 우선 정적 압저항-구조 해석을 통하여 미소가속도계의 변위와 출력전압을 계산하고 출력전압을 특정 위치의 변위에 관한 2차 다항식으로 근사화하여 그 회귀계수를 최소자승법을 통하여 결정한다. 이후에 모드중첩법을 통하여 여러 방향의 고충격하에서 미소가속도계의 과도 변위응답을 계산하고, 이 변위응답을 변위로 표현되는 출력전압 근사식에 대입하여 과도 출력전압을 예측한다. 100,000 G 고충격파, 사인파, 계단파 및 사각파 등의 여러 가지 고충격 입력에 대한 압저항 미소가속도계의 수치예제를 통하여 제안한 방법의 정확성 및 효율성을 검증하였다.

중첩격자에 대한 이동최소자승법 적용 연구 (APPLICATION OF MOVING LEAST SQUARE METHOD IN CHIMERA GRID METHOD)

  • 이관중;이승수
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2007년도 춘계 학술대회논문집
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    • pp.17-22
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    • 2007
  • Chimera grid Method is widely used in Computational Fluid Dynamics due to its simplicity in constructing grid system over complex bodies. Especially, Chimera grid method is suitable for unsteady flow computations with bodies in relative motions. However, interpolation procedure for ensuring continuity of solution over overlapped region fails when so-call orphan cells are present. We have adopted MLS(Moving Least Squares) method to replace commonly used linear interpolations in order to alleviate the difficulty associated with orphan cells. MSL is one of interpolation methods used in mesh-less methods. A number of examples with MLS are presented to show the validity and the accuracy of the method.

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Parameter Estimations in the Complementary Weibull Reliability Model

  • Sarhan Ammar M.;El-Gohary Awad
    • International Journal of Reliability and Applications
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    • 제6권1호
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    • pp.41-51
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    • 2005
  • The Bayes estimators of the parameters included in the complementary Weibull reliability model are obtained. In the process of deriving Bayes estimators, the scale and shape parameters of the complementary Weibull distribution are considered to be independent random variables having prior exponential distributions. The maximum likelihood estimators of the desired parameters are derived. Further, the least square estimators are obtained in closed forms. Simulation study is made using Monte Carlo method to make a comparison among the obtained estimators. The comparison is made by computing the root mean squared errors associated to each point estimation. Based on the numerical study, the Bayes procedure seems better than the maximum likelihood and least square procedures in the sense of having smaller root mean squared errors.

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(4+n)-noded Moving Least Square(MLS)-based finite elements for mesh gradation

  • Lim, Jae Hyuk;Im, Seyoung
    • Structural Engineering and Mechanics
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    • 제25권1호
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    • pp.91-106
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    • 2007
  • A new class of finite elements is described for dealing with mesh gradation. The approach employs the moving least square (MLS) scheme to devise a class of elements with an arbitrary number of nodal points on the parental domain. This approach generally leads to elements with rational shape functions, which significantly extends the function space of the conventional finite element method. With a special choice of the nodal points and the base functions, the method results in useful elements with polynomial shape functions for which the $C^1$ continuity breaks down across the boundaries between the subdomains comprising one element. Among those, (4 + n)-noded MLS based finite elements possess the generality to be connected with an arbitrary number of linear elements at a side of a given element. It enables us to connect one finite element with a few finite elements without complex remeshing. The effectiveness of the new elements is demonstrated via appropriate numerical examples.