• 제목/요약/키워드: Unknown Parameter

검색결과 475건 처리시간 0.03초

AMLEs for Rayleigh Distribution Based on Progressive Type-II Censored Data

  • Seo, Eun-Hyung;Kang, Suk-Bok
    • Communications for Statistical Applications and Methods
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    • 제14권2호
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    • pp.329-344
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    • 2007
  • In this paper, we shall propose the AMLEs of the scale parameter and the location parameter in the two-parameter Rayleigh distribution based on progressive Type-II censored samples when one parameter is known. We also propose the AMLEs of the two parameters in the Rayleigh distribution based on progressive Type-II censored samples when two parameters are unknown. We simulate the mean squared errors of the proposed estimators through Monte Carlo simulation for various censoring schemes.

Improving $L_1$ Information Bound in the Presence of a Nuisance Parameter for Median-unbiased Estimators

  • Sung, Nae-Kyung
    • Journal of the Korean Statistical Society
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    • 제22권1호
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    • pp.1-12
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    • 1993
  • An approach to make the information bound sharper in median-unbiased estimation, based on an analogue of the Cramer-Rao inequality developed by Sung et al. (1990), is introduced for continuous densities with a nuisance parameter by considering information quantities contained both in the parametric function of interest and in the nuisance parameter in a linear fashion. This approach is comparable to that of improving the information bound in mean-unbiased estimation for the case of two unknown parameters. Computation of an optimal weight corresponding to the nuisance parameter is also considered.

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Adaptive control for linear systems with parameter uncertainty using switching

  • Maki, Midori;Hagino, Kojiro
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1996년도 Proceedings of the Korea Automatic Control Conference, 11th (KACC); Pohang, Korea; 24-26 Oct. 1996
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    • pp.173-176
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    • 1996
  • This paper deals with the problem of designing an adaptive regulator in order to improve transient performance in time-response when the linear state-space model of the plant contains unknown parameters which vary within prescribed bounds. The whole possible parameter space is divided into some subspaces and multiple models and controllers are established from the view point that each controller gives satisfactory transient behavior for systems corresponding to each parameter subspace. Based on time-response and an associated cost function, an appropriate controller is selected on-line out of multiple controllers.

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최적화기법에 의한 베어링 동특성 계수의 규명 (Identification of Bearing Dynamic Coefficients Using Optimization Techniques)

  • 김용한;양보석;안영공;김영찬
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2003년도 춘계학술대회논문집
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    • pp.520-525
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    • 2003
  • The determination of unknown parameters in rotating machinery is a difficult task and optimization techniques represent an alternative technique for parameter identification. The Simulated Annealing(SA) and Genetic Algorithm(GA) are powerful global optimization algorithm. This paper proposes new hybrid algorithm which combined GA with SA and local search algorithm for the purpose of parameter identification. Numerical examples are also presented to verify the efficiency of proposed algorithm. And, this paper presents the general methodology based on hybrid algorithm to identify unknown bearing parameters of flexible rotors using measured unbalance responses. Numerical examples are used to ilustrate the methodology used, which is then validated experimentally.

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미지의 파라메터를 가진 비선형 시스템의 궤환 선형화 제어기개발. (Design of the Feedback linearizing Nonlinear Control with Uncertain Parameter.)

  • 주성준;서진헌
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1996년도 하계학술대회 논문집 B
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    • pp.1134-1136
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    • 1996
  • A necessary and suficient conditions is proposed for feedback linearizable SISO systems with unknown constant parameters. It is shown that the systems which satisfy the proposed conditions can be transformed into a controllable linear system with unknown parameter and it can be stabilized using the nonlinear feedback linearizing controller. We also present the analysis and implementation of a nonlinear feedback linearizing control for an Electro-Magnetic Suspension (EMS) system. We show that an EMS system is nonlinear feedback linearizable and satisfies the proposed conditions, and hence that the proposed nonlinear feedback controller for an EMS system is robust against mass parameter perturbation and force disturbance.

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Fixed-accuracy confidence interval estimation of P(X > c) for a two-parameter gamma population

  • Zhuang, Yan;Hu, Jun;Zou, Yixuan
    • Communications for Statistical Applications and Methods
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    • 제27권6호
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    • pp.625-639
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    • 2020
  • The gamma distribution is a flexible right-skewed distribution widely used in many areas, and it is of great interest to estimate the probability of a random variable exceeding a specified value in survival and reliability analysis. Therefore, the study develops a fixed-accuracy confidence interval for P(X > c) when X follows a gamma distribution, Γ(α, β), and c is a preassigned positive constant through: 1) a purely sequential procedure with known shape parameter α and unknown rate parameter β; and 2) a nonparametric purely sequential procedure with both shape and rate parameters unknown. Both procedures enjoy appealing asymptotic first-order efficiency and asymptotic consistency properties. Extensive simulations validate the theoretical findings. Three real-life data examples from health studies and steel manufacturing study are discussed to illustrate the practical applicability of both procedures.

2링크 매니퓰레이터 제어를 위한 듀얼 확장 칼만 필터 기반의 미지 변수 추정 기법 (Unknown-Parameter Identification for Accurate Control of 2-Link Manipulator using Dual Extended Kalman Filter)

  • 승지훈;박정길;유성구
    • 한국융합학회논문지
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    • 제9권6호
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    • pp.53-60
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    • 2018
  • 본 논문은 듀얼 확장 칼만 필터를 기반으로 2링크 매니퓰레이터의 정밀한 제어를 위한 미지 변수 추정법을 제안한다. 2링크 매니퓰레이터 시스템은 기구학 및 동역학 방정식에 비선형성을 가지며 내부 파라미터의 변화에 민감한 특성을 보인다. 이러한 시스템의 경우 내부 미지 파라미터의 추정이 매우 중요하다. 특히 거친 환경에서 작업을 수행함에 있어서 중량과 관성행렬의 변화는 시스템을 불안정하게 만드는 요소이다. 따라서 본 논문에서 제안한 방법을 기반으로 시스템의 상태 및 미지 변수를 동시에 추정하여 앞서 소개한 문제점들을 해결하고자 한다. 제안한 방법은 Mathwork에서 제공하는 Matlab 기반으로 시뮬레이션을 수행했고, 그 결과는 RLS 알고리즘과 비교하여 성능을 분석하였다. 제안된 방법은 상태 및 미지 변수 추정에 RLS 방법보다 뛰어난 추정 성능을 보임을 확인 하였다.

기준점 위치와 미지수 조합에 따른 궤도모델링의 정확도 분석 (Accuracy Analysis of the Orbit Modeling with Various GCP Configurations and Unknown Parameter Sets)

  • 김동욱;김현숙;김태정
    • 대한원격탐사학회지
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    • 제24권2호
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    • pp.133-140
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    • 2008
  • 본 논문에서는 다양한 기준점 배치와 미지수 조합 모델을 이용하여 궤도모델링의 정확도를 검증하고자 하였다. 실험에 사용된 기준점의 개수는 총 152개로 전체 영상 스트립에 포함되는 지역에 대해 GPS 측량을 통해 획득하였다. 전체 스트립 영상의 길이는 춘천지역에서부터 나주지역까지 약 420km 길이에 해당한다. 궤도모델을 위해 적용된 미지수 조합은 위성의 위치와 속도, 자세를 표현하는 방정식의 계수를 미지수로 선택하여 일곱 가지 방식으로 조합하였다. 실험은 우선 모델점의 배치를 일곱 가지 경우로 결정한 후에 각 경우의 배치에 대해 일정한 개수의 모델점을 선택하였다. 그리고 각 모델점의 배치에 따라 미지수 조합 모델을 각각 다르게 적용해 본 후 그 결과를 분석해 보았다. 실험 결과 모델점의 위치에 관계없이 지리적, 시간적, 경제적 효율성을 갖는 최적의 미지수 조합을 찾을 수가 있었다.

APPLICATION OF THE BIFOCUSING METHOD IN MICROWAVE IMAGING BY CONVERTING UNKNOWN MEASUREMENT DATA INTO THE CONSTANT

  • SANGWOO KANG;MINYEOB LEE;WON-KWANG PARK;SEONG-HO SON
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제28권3호
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    • pp.96-107
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    • 2024
  • We consider the bifocusing method (BFM) for a fast identification of small objects in microwave imaging. In many researches, it was very hard to measure the scattering parameter data if the location of the transmitter and the receiver is the same. Due to this reason, the imaging function of BFM has mainly been designed by converting unknown measurement data into the zero constant; this approach has yielded reliable imaging results, but the theoretical reason for this conversion has not been investigated yet. In this study, we converted unknown measurement data to a fixed constant and applied the BFM to retrieve small objects. To demonstrate the effect of the converted constant, we show that the imaging function of the BFM can be represented in terms of an infinite series of the Bessel functions of an integer order, antenna setting, material properties, and applied constant. Based on the theoretical result, we concluded that converting unknown measurement data to constant zero guarantees good imaging results, including the unique determination of the objects. Simulation results obtained with synthetic and real data support the theoretical result.

불확실성을 고려한 시스템에서의 복합형 이상검출 및 격리 (Hybrid fault detection and isolation for uncertainty system)

  • 유호준;김대우;권오규
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1997년도 한국자동제어학술회의논문집; 한국전력공사 서울연수원; 17-18 Oct. 1997
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    • pp.1432-1435
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    • 1997
  • This paper proposes a fault detection and isolation metho by combining the parameter estimation method[4] with the observer method[2] to use merits of both methods. To verify the performance of the method proposed some simulations applied to remotely piloted vehicle are performed.

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