• Title/Summary/Keyword: Residual Error

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The restricted maximum likelihood estimation of a censored regression model

  • Lee, Seung-Chun
    • Communications for Statistical Applications and Methods
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    • v.24 no.3
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    • pp.291-301
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    • 2017
  • It is well known in a small sample that the maximum likelihood (ML) approach for variance components in the general linear model yields estimates that are biased downward. The ML estimate of residual variance tends to be downwardly biased. The underestimation of residual variance, which has implications for the estimation of marginal effects and asymptotic standard error of estimates, seems to be more serious in some limited dependent variable models, as shown by some researchers. An alternative frequentist's approach may be restricted or residual maximum likelihood (REML), which accounts for the loss in degrees of freedom and gives an unbiased estimate of residual variance. In this situation, the REML estimator is derived in a censored regression model. A small sample the REML is shown to provide proper inference on regression coefficients.

A Selection Method of Residual Errors for GMS Geometric Correction Using Ground Control Points

  • Yasukawa, Masaki;Takagi, Mikio;Yasuoka, Yoshifumi
    • Proceedings of the KSRS Conference
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    • 2003.11a
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    • pp.1168-1170
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    • 2003
  • The GMS geometric correction method with highspeed and high accuracy is needed. In this paper, a selection method of residual errors for the GMS geometric correction using GCPs (ground control points) is described. Namely, it is a technique for limiting the number of residual error acquisition using GCPs in each block to reduce the processing time. As the result, since the processing time was about 7.0 minutes on conventional geometric correction and about 5.6 minutes on the proposed method, it was shown that the processing time of about 1.4 minutes was shortened.

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Numerical Analysis of the Contour Method for Measuring Residual Stresses in Laser Shock Peened Ti-6Al-4V Strips

  • Shin Shang-Hyon
    • Journal of Advanced Marine Engineering and Technology
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    • v.29 no.3
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    • pp.290-296
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    • 2005
  • The contour method is based on the elastic superposition principle, and relies on deformations that occur when a residually stressed part is cut along a plane. During the cut, the part is constrained at a location along the cut so that deformations are restrained as much as possible. The displacement is applied to an elastic FE model of the half. When plasticity is involved in the relaxation process, the superposition principle is no longer valid, and stress error in the resulting measurement of residual stress would be caused. Residual stress states in a laser peened Ti-6Al-4V strip were taken for the FE simulation.

An Error Control Line Code Based on an Extended Hamming Code (확대 Hamming 부호를 이용한 오류제어선로부호)

  • 김정구;정창기;이수인;주언경
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.19 no.5
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    • pp.912-919
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    • 1994
  • A new error control line code based on an extended Hamming code is proposed and its performance is analyzed in this paper. The proposed code is capable of single error correction and double error detection since its minimum Hamming distance is 4. In addition, the error detection capability can be oncreased due to the redundancy bit used for line coding. As a result, the proposed code shows lower code rate, but better spectral characteristics in low frequency region and lower residual bit error rate than the conventional error correction line code using Hamming (7, 4) code.

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Evaluation of Target Position's Accuracy in 2D-3D Matching using Rando Phantom (인체팬톰을 이용한 2D-3D 정합시 타켓위치의 정확성 평가)

  • Jang, Eun-Sung;Kang, Soo-Man;Lee, Chul-Soo
    • The Journal of Korean Society for Radiation Therapy
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    • v.21 no.1
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    • pp.33-39
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    • 2009
  • Purpose: The aim of this study is to compare patient's body posture and its position at the time of simulation with one at the treatment room using On-board Imaging (OBI) and CT (CBCT). The detected offsets are compared with position errors of Rando Phantom that are practically applied. After that, Rando Phantom's position is selected by moving couch based on detected deviations. In addition, the errors between real measured values of Rando Phantom position and theoretical ones is compared. And we will evaluate target position's accuracy of KV X-ray imaging's 2D and CBCT's 3D one. Materials and Methods: Using the Rando Phantom (Alderson Research Laboratories Inc. Stanford. CT, USA) which simulated human body's internal structure, we will set up Rando Phantom on the treatment couch after implementing simulation and RTP according to the same ways as the real radioactive treatment. We tested Rando Phantom that are assumed to have accurate position with different 3 methods. We measured setup errors on the axis of X, Y and Z, and got mean standard deviation errors by repeating tests 10 times on each tests. Results: The difference between mean detection error and standard deviation are as follows; lateral 0.4+/-0.3 mm, longitudinal 0.6+/-0.5 mm, vertical 0.4+/-0.2 mm which all within 0~10 mm. The couch shift variable after positioning that are comparable to residual errors are 0.3+/-0.1, 0.5+/-0.1, and 0.3+/-0.1 mm. The mean detection errors by longitudinal shift between 20~40 mm are 0.4+/-0.3 in lateral, 0.6+/-0.5 in longitudinal, 0.5+/-0.3 in vertical direction. The detection errors are all within range of 0.3~0.5 mm. Residual errors are within 0.2~0.5 mm. Each values are mean values based on 3 tests. Conclusion: Phantom is based on treatment couch shift and error within the average 5mm can be gained by the diminution detected by image registration based on OBI and CBCT. Therefore, the selection of target position which depends on OBI and CBCT could be considered as useful.

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Fuzzy Algorithm에 의한 1-링크 탄성 로보트 Arm 선단의 위치제어

  • 양길태;이영춘;이성철
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2001.10a
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    • pp.149-153
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    • 2001
  • This paper presents an end-point control of 1-link flexible arm tip-mass by using fuzzy position control algorithm. The arm is mounted on a translational mechanism driven by a ballscrew, whose rotation is controlled by a DC servomotor. Tip position is controlled so that it follows a desired position. Feedback signal is composed of both tip displacement error and change of error. This paper gives tip responses according to the variations of tip-mass and beam length, and the effects of reducing the residual vibrations occurring at the end-point. In the case of the residual vibrations of tip displacement, fuzzy control has better results than the PD-control.

Adaptive M-estimation in Regression Model

  • Han, Sang-Moon
    • Communications for Statistical Applications and Methods
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    • v.10 no.3
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    • pp.859-871
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    • 2003
  • In this paper we introduce some adaptive M-estimators using selector statistics to estimate the slope of regression model under the symmetric and continuous underlying error distributions. This selector statistics is based on the residuals after the preliminary fit L$_1$ (least absolute estimator) and the idea of Hogg(1983) and Hogg et. al. (1988) who used averages of some order statistics to discriminate underlying symmetric distributions in the location model. If we use L$_1$ as a preliminary fit to get residuals, we find the asymptotic distribution of sample quantiles of residual are slightly different from that of sample quantiles in the location model. If we use the functions of sample quantiles of residuals as selector statistics, we find the suitable quantile points of residual based on maximizing the asymptotic distance index to discriminate distributions under consideration. In Monte Carlo study, this adaptive M-estimation method using selector statistics works pretty good in wide range of underlying error distributions.

Zero Placement of the Asymmetric S-curve Profile to Minimize the Residual Vibration (잔류진동 저감을 위한 비대칭 S-curve 프로파일의 영점 배치법)

  • Ha, Chang-Wan;Rew, Keun-Ho;Kim, Kyung-Soo;Kim, Soo-Hyun
    • Journal of Institute of Control, Robotics and Systems
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    • v.18 no.4
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    • pp.308-313
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    • 2012
  • Robust tuning rules of the motion profile are proposed to minimize the residual vibration. For asymmetric S-curve profile, tuning rules are analytically formulated using Laplace-domain approach. When the system modeling is known exactly, by placing a single zero of the motion profile on the pole of the system, the residual vibration can be perfectly eliminated under undamped system. However, if there are some amounts of the modeling errors, the residual vibration significantly increases. To track this issue, the robust tuning rules against modeling error are discussed. One of the proposed robust tuning rules is placing the multiple zeros of the motion profile on the pole of the system, and the other is placing the zeros of the motion profile around the pole of the system. Thanks to the proposed robust tuning rules, motion profile becomes more robust to modeling errors while minimizing the residual vibration. By simulation, the effectiveness of the proposed robust tuning rules is verified.

BLOCK DIAGONAL PRECONDITIONERS FOR THE GALERKIN LEAST SQUARES METHOD IN LINEAR ELASTICITY

  • Yoo, Jae-Chil
    • Communications of the Korean Mathematical Society
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    • v.15 no.1
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    • pp.143-153
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    • 2000
  • In [8], Franca and Stenberg developed several Galerkin least squares methods for the solution of the problem of linear elasticity. That work concerned itself only with the error estimates of the method. It did not address the related problem of finding effective methods for the solution of the associated linear systems. In this work, we propose the block diagonal preconditioners. The preconditioned conjugate residual method is robust in that the convergence is uniform as the parameter, v, goes to $\sfrac{1}{2}$. Computational experiments are included.

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A HYBRID METHOD FOR REGULARIZED STRUCTURED LINEAR TOTAL LEAST NORM

  • KWON SUNJOO
    • Journal of applied mathematics & informatics
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    • v.18 no.1_2
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    • pp.621-637
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    • 2005
  • A hybrid method solving regularized structured linear total least norm (RSTLN) problems, which have highly ill-conditioned coefficient matrix with special structures, is suggested and analyzed. This scheme combining RSTLN algorithm and separation by parts guarantees the convergence of parameters and has an advantages in reducing the residual norm and relative error of solutions. Computational tests for problems arisen in signal processing and image formation process confirm that the presenting method is effective for more accurate solutions to (R)STLN problem than the (R)STLN algorithm.