• Title/Summary/Keyword: absolute deviation

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Prediction and Measurement of Autoignition Temperature of Toluene and 2-Butanol System (톨루엔과 2-부탄올 계의 최소자연발화온도의 측정 및 예측)

  • Ha, Dong-Myeong
    • Journal of the Korean Society of Safety
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    • v.30 no.4
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    • pp.73-78
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    • 2015
  • The autoignition temperatures(AIT) of solvent mixture is important index for the safe handling of flammable liquids which constitute the solvent mixtures. Therefore, the AITs of common pure chemical substances are widely reported, but very limited data are available for mixtures. This study, the toluene and 2-butnaol system which used mixture solution solvent was measured the AIT and ignition delay time by using ASTM E659 apparatus. The AITs of toluene and 2-butanol constituted binary system were $547^{\circ}C$ and $400^{\circ}C$, respectively. The experimental AIT of toluene and 2-butanol were a good agreement with the calculated AIT by the proposed equations with a few average absolute deviation(A.A.D.).

EVALUATION OF PARAMETER ESTIMATION METHODS FOR NONLINEAR TIME SERIES REGRESSION MODELS

  • Kim, Tae-Soo;Ahn, Jung-Ho
    • Journal of applied mathematics & informatics
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    • v.27 no.1_2
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    • pp.315-326
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    • 2009
  • The unknown parameters in regression models are usually estimated by using various existing methods. There are several existing methods, such as the least squares method, which is the most common one, the least absolute deviation method, the regression quantile method, and the asymmetric least squares method. For the nonlinear time series regression models, which do not satisfy the general conditions, we will compare them in two ways: 1) a theoretical comparison in the asymptotic sense and 2) an empirical comparison using Monte Carlo simulation for a small sample size.

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Estimation of the Ground Surface Roughness Applied by Acoustic Emission Signal (AE 신호를 이용한 연삭 가공물의 표면 거칠기 예측)

  • 곽재섭;송지복
    • Journal of the Korean Society for Precision Engineering
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    • v.17 no.4
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    • pp.240-246
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    • 2000
  • An in-process estimation of the ground surface roughness is a bottle-neck and an essential field in conventional grinding operation. We defined the dimensionless average roughness factor (D.A.R.F) that exhibits a roughness characteristics of ground surface. The D.A.R.F was composed easily of the absolute average and the standard deviation values which were the analytic parameters of the acoustic emission (AE) signal generated during the machining process. The theoretical equation between the surface roughness and the D.A.R.F has been derived from the linear regressive analysis and verified its availability through the experimentation on the surface grinding machine.

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A Study on a One-step Pairwise GM-estimator in Linear Models

  • Song, Moon-Sup;Kim, Jin-Ho
    • Journal of the Korean Statistical Society
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    • v.26 no.1
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    • pp.1-22
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    • 1997
  • In the linear regression model $y_{i}$ = .alpha. $x_{i}$ $^{T}$ .beta. + .epsilon.$_{i}$ , i = 1,2,...,n, the weighted pairwise absolute deviation (WPAD) estimator was defined by minimizing the dispersion function D (.beta.) = .sum..sum.$_{{i $w_{{ij}}$$\mid$ $r_{j}$ (.beta.) $r_{i}$ (.beta.)$\mid$, where $r_{i}$ (.beta.)'s are residuals and $w_{{ij}}$'s are weights. This estimator can achive bounded total influence with positive breakdown by choice of weights $w_{{ij}}$. In this paper, we consider a more general type of dispersion function than that of D(.beta.) and propose a pairwise GM-estimator based on the dispersion function. Under some regularity conditions, the proposed estimator has a bounded influence function, a high breakdown point, and asymptotically a normal distribution. Results of a small-sample Monte Carlo study are also presented. presented.

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An efficient algorithm for the non-convex penalized multinomial logistic regression

  • Kwon, Sunghoon;Kim, Dongshin;Lee, Sangin
    • Communications for Statistical Applications and Methods
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    • v.27 no.1
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    • pp.129-140
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    • 2020
  • In this paper, we introduce an efficient algorithm for the non-convex penalized multinomial logistic regression that can be uniformly applied to a class of non-convex penalties. The class includes most non-convex penalties such as the smoothly clipped absolute deviation, minimax concave and bridge penalties. The algorithm is developed based on the concave-convex procedure and modified local quadratic approximation algorithm. However, usual quadratic approximation may slow down computational speed since the dimension of the Hessian matrix depends on the number of categories of the output variable. For this issue, we use a uniform bound of the Hessian matrix in the quadratic approximation. The algorithm is available from the R package ncpen developed by the authors. Numerical studies via simulations and real data sets are provided for illustration.

Multivariate Gamma-Poisson Model and Parameter Estimation for Polytomous Data : Application to Defective Pixels of LCD (다가자료에 적합한 다변수 감마-포아송 모델과 파라미터 추정방법 : LCD 화소불량 응용)

  • Ha, Jung-Hoon
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.34 no.1
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    • pp.42-51
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    • 2011
  • Poisson model and Gamma-Poisson model are popularly used to analyze statistical behavior from defective data. The methods are based on binary criteria, that is, good or failure. However, manufacturing industries prefer polytomous criteria for classifying manufactured products due to flexibility of marketing. In this paper, I introduce two multivariate Gamma-Poisson(MGP) models and estimation methods of the parameters in the models, which are able to handle polytomous data. The models and estimators are verified on defective pixels of LCD manufacturing. Experimental results show that both the independent MGP model and the multinomial MGP model have excellent performance in terms of mean absolute deviation and the choice of method depends on the purpose of use.

A comparison of neural networks to ols regression in process/quality control applications

  • Nam, Kyungdoo;Sanford, Clive C.;Jayakumar, Maliyakal D.
    • Korean Management Science Review
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    • v.11 no.2
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    • pp.133-146
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    • 1994
  • This study compares the performance of neural networks and ordinary least squares regression with quality-control processes. We examine the applicability of neural networks because they do not require any assumptions regarding either the functional from of the underlying process or the distribution of errors. The coefficient of determination($R^2$), mean absolute deviation(MAD), and the mean squared error(MSE) metrics indicate that neural networks are a viable and can be a superior technique. We also demonstrate that an assessment of the magnitude of the neural notwork input layer cumulative weights can be used to determine the relative importance of predictor variables.

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Training of Equilibrium Sense Using Unstable Platform and Force Plate (Force Plate 와 불안정판을 이용한 평형감각 훈련)

  • 박용군;유미;권대규;홍철운;김남균
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2004.10a
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    • pp.985-988
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    • 2004
  • This paper proposes a new training system for equilibrium sense and postural control using unstable platform and force plate. This system consists of unstable platform, force plate, computer interface, software and the computer. Using this system and training programs, we perform the experiment to train the equilibrium sense and postural control of subject. To evaluate the effects of balance training, we measured some parameters such as the maintaining time in the target, the moving time to the target and the mean absolute deviation of the trace before and after training. The result shows that this system can improve the equilibrium sense and balance ability of subject. This study shows that proposed system had an effect on improving equilibrium sense and postural control and might be applied to clinical rehabilitation training as a new effective balance training system.

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Sequential Defect Region Segmentation according to Defect Possibility in TFT-LCD Image (TFT-LCD영상에서 결함 가능성에 따른 순차적 결함영역 분할)

  • Chang, Chung Hwan;Lee, SeungMin;Park, Kil-Houm
    • Journal of Korea Multimedia Society
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    • v.23 no.5
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    • pp.633-640
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    • 2020
  • Defect region segmentation of TFT-LCD images is performed by combining defect pixels detected by a defect detection method into defect region, or by using morphological operations to segment defect region. Therefore, the result of segmentation of the defect region is highly dependent on the defect detection result. In this paper, we propose a method which segments defect regions sequentially according to the possibility of being included in defect regions in TFT-LCD images. The proposed method repeats the process of detecting a seed using the median value and the median absolute deviation of the image, and segments the defect region using the seeded region growing method. We confirmed the superiority of the proposed method to segment defect regions using pseudo-images and real TFT-LCD images.

Measurement and Prediction of Autoignition Temperature of n-Propanol+n-Decane Mixture (노말프로판올과 노말데칸 혼합물의 최소자연발화온도 측정 및 예측)

  • Ha, Dong-Myeong
    • Journal of the Korean Society of Safety
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    • v.29 no.6
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    • pp.55-61
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    • 2014
  • The autoignition temperature (AIT) of a material is the lowest temperature at which the substance will spontaneously ignite in the absence of an external ignition source such as a spark or flame. The AIT may be used as combustion property to specify operating, storage, and materials handling procedures for processs safety. This study measured the AITs of n-Propanol+n-Decane system from ignition delay time(time lag) by using ASTM E659 apparatus. The AITs of n-Propanol and n-Decane which constituted binary system were $435^{\circ}C$ and $212^{\circ}C$, respectively. The experimental AITs of n-Propanol+n-Decane system were a good agreement with the calculated AITs by the proposed equations with a few A.A.D(average absolute deviation).