• Title/Summary/Keyword: Density estimation method

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고밀도 폴리에틸렌 공정의 Melt Index 모델예측제어에 관한 연구 (Model Predictive Control of the Melt Index in High-Density Polyethylene(HDPE) Process)

  • 이은호;김태영;여영구
    • Korean Chemical Engineering Research
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    • 제46권6호
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    • pp.1043-1051
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    • 2008
  • 폴리올레핀 공정의 melt index(MI or MFI)는 제품의 품질을 결정짓는 가장 중요한 제어변수이다. MI는 실시간으로 측정하는 것이 어렵기 때문에 MI를 예측하여 상관관계를 나타내고자 하는 많은 방법들이 제안되었다. 본 연구에서는 시스템 인식기법을 바탕으로 MI 예측을 위한 새로운 1차의 동적 예측모델을 고안하였다. 이 모델의 예측성능은 등급변경이 수반되는 고밀도 폴리에틸렌 공장의 실제 운전데이터에 근거한 모사로 검증하였으며 다른 예측방법들과의 비교로부터 본 연구에 의한 예측모델의 우수성을 확인하였다. 구성된 MI 동적 예측모델을 토대로 하는 모델예측제어방법의 적용을 통하여 각 단위공정별 MI를 계산하고 운전데이터와 비교하였다. 제어운전의 모사를 통하여 등급변경이 이루어지는 운전 동안의 전이시간과 불량제품 발생량이 현저한 감소를 보임을 확인하였다.

조건부가치평가모형의 준모수 추정 (A Semiparametric Estimation of the Contingent Valuation Model)

  • 박주헌
    • 자원ㆍ환경경제연구
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    • 제12권4호
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    • pp.545-557
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    • 2003
  • 양분형 조건부가치평가모형의 준모수적 추정 방법을 소위 회귀함수 1차 도함수의 밀도가중평균(density weighted average derivative or regression function) 추정을 응용하여 제안한다. 논문에서 제안된 준모수 추정량의 소표본 특성은 몬데칼로 시뮬레이션 결과를 제시함으로써 간접적으로 나타난다. 또 추정량을 동강보존을 위한 지불용의액을 조사한 조건부가치평가자료에 실제 적용함으로써 현실 적용 가능성을 보여준다.

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마이크로캡슐 잠열 축열재 혼합수의 열물성에 관한 연구 (A Study on Thermo-Physical Properties of Microencapsulated Phase Change Material Slurry)

  • 임재근;최순열;김명준
    • Journal of Advanced Marine Engineering and Technology
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    • 제28권6호
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    • pp.962-971
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    • 2004
  • This paper has dealt with thermo-physical properties of microencapsulated phase change material slurry as a latent heat storage material having a low melting point. The measured results of the thermo-physical properties of the test microencapsulated phase change material slurry, those are, density, specific heat, thermal conductivity and viscosity, were discussed for the temperature region of solid and liquid phases of the dispersion material (paraffin). The measurements of these properties of microencapsulated phase change material slurry have been carried out by using a specific-gravity meter, a water calorimeter, a differential scanning calorimeter(DSC), a transient hot wire method and rotating type viscometer, respectively. It was clarified that the additional properties law could be applied to the estimation of the density and specific heat of microencapsulated phase change material slurry and also the Euckens equation could be applied to the estimation of the thermal conductivity of this slurry.

Bayes tests of independence for contingency tables from small areas

  • Jo, Aejung;Kim, Dal Ho
    • Journal of the Korean Data and Information Science Society
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    • 제28권1호
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    • pp.207-215
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    • 2017
  • In this paper we study pooling effects in Bayesian testing procedures of independence for contingency tables from small areas. In small area estimation setup, we typically use a hierarchical Bayesian model for borrowing strength across small areas. This techniques of borrowing strength in small area estimation is used to construct a Bayes test of independence for contingency tables from small areas. In specific, we consider the methods of direct or indirect pooling in multinomial models through Dirichlet priors. We use the Bayes factor (or equivalently the ratio of the marginal likelihoods) to construct the Bayes test, and the marginal density is obtained by integrating the joint density function over all parameters. The Bayes test is computed by performing a Monte Carlo integration based on the method proposed by Nandram and Kim (2002).

IMAGE DENOISING BASED ON MIXTURE DISTRIBUTIONS IN WAVELET DOMAIN

  • Bae, Byoung-Suk;Lee, Jong-In;Kang, Moon-Gi
    • 한국방송∙미디어공학회:학술대회논문집
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    • 한국방송공학회 2009년도 IWAIT
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    • pp.246-249
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    • 2009
  • Due to the additive white Gaussian noise (AWGN), images are often corrupted. In recent days, Bayesian estimation techniques to recover noisy images in the wavelet domain have been studied. The probability density function (PDF) of an image in wavelet domain can be described using highly-sharp head and long-tailed shapes. If a priori probability density function having the above properties would be applied well adaptively, better results could be obtained. There were some frequently proposed PDFs such as Gaussian, Laplace distributions, and so on. These functions model the wavelet coefficients satisfactorily and have its own of characteristics. In this paper, mixture distributions of Gaussian and Laplace distribution are proposed, which attempt to corporate these distributions' merits. Such mixture model will be used to remove the noise in images by adopting Maximum a Posteriori (MAP) estimation method. With respect to visual quality, numerical performance and computational complexity, the proposed technique gained better results.

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Wakeby Distribution and the Maximum Likelihood Estimation Algorithm in Which Probability Density Function Is Not Explicitly Expressed

  • Park Jeong-Soo
    • Communications for Statistical Applications and Methods
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    • 제12권2호
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    • pp.443-451
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    • 2005
  • The studied in this paper is a new algorithm for searching the maximum likelihood estimate(MLE) in which probability density function is not explicitly expressed. Newton-Raphson's root-finding routine and a nonlinear numerical optimization algorithm with constraint (so-called feasible sequential quadratic programming) are used. This algorithm is applied to the Wakeby distribution which is importantly used in hydrology and water resource research for analysis of extreme rainfall. The performance comparison between maximum likelihood estimates and method of L-moment estimates (L-ME) is studied by Monte-carlo simulation. The recommended methods are L-ME for up to 300 observations and MLE for over the sample size, respectively. Methods for speeding up the algorithm and for computing variances of estimates are discussed.

질화물 우선석출이 발생하는 결정립계 어긋남 각도의 통계 및 확률적 평가 (II) (Statistical and Probabilistic Assessment for the Misorientation Angle of a Grain Boundary for the Precipitation of in a Austenitic Stainless Steel (II))

  • 이상호;최병학;이태호;김성준;윤기봉;김선화
    • 대한금속재료학회지
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    • 제46권9호
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    • pp.554-562
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    • 2008
  • The distribution and prediction interval for the misorientation angle of grain boundary at which $Cr_2N$ was precipitated during heating at $900^{\circ}C$ for $10^4$ sec were newly estimated, and followed by the estimation of mathematical and median rank methods. The probability density function of the misorientation angle can be estimated by a statistical analysis. And then the ($1-{\alpha}$)100% prediction interval of misorientation angle obtained by the estimated probability density function. If the estimated probability density function was symmetric then a prediction interval for the misorientation angle could be derived by the estimated probability density function. In the case of non-symmetric probability density function, the prediction interval could be obtained from the cumulative distribution function of the estimated probability density function. In this paper, 95, 99 and 99.73% prediction interval obtained by probability density function method and cumulative distribution function method and compared with the former results by median rank regression or mathematical method.

지하철 역사의 구조 및 특성을 고려한 동력부하밀도 분석 (Power Load Density Analysis considering Structure and Characteristics of Subway Stations)

  • 정현기;차광석
    • 한국철도학회:학술대회논문집
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    • 한국철도학회 2006년도 추계학술대회 논문집
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    • pp.912-920
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    • 2006
  • The purpose of this study is to present the design standard for load density in subway station. From the data of electric equipment capacity and electric power consumption for 43 subway stations, current levels of the load density and excess capacity factor were surveyed and analyzed, In addition mean value, standard deviation, maximum value, median value and correlation coefficient were evaluated through excel program. Also it was carried out the regression analysis. The estimation method of load density and design criterion were studied. As a result, load density in this thesis have been proposed : 51.3 $[VA/m^2]$ on the general power load can be a standard value for subway station.

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다변량 확률분포함수의 추정을 위한 MKDE-ebd 개발 (Development of MKDE-ebd for Estimation of Multivariate Probabilistic Distribution Functions)

  • 강영진;노유정;임오강
    • 한국전산구조공학회논문집
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    • 제32권1호
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    • pp.55-63
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    • 2019
  • 공학문제에서 많은 확률 변수들은 상관성을 가지고 있고, 입력변수의 상관성은 기계시스템의 통계적 성능 분석 결과에 큰 영향을 미친다. 하지만, 상관 변수들은 결합분포함수를 모델링하기 어렵다는 이유로 종종 독립변수로 취급되거나 특정한 모수적 모델로 표현되는 경우가 많으며, 특히 데이터가 적은 경우 결합분포함수를 정확히 모델링하는데 더 큰 어려움이 있다. 본 연구에서 개발된 경계데이터를 이용한 다변량 커널밀도추정은 비선형성을 갖는 다양한 형태의 다변량 확률 분포 추정을 위해 개발되었다. 다변량 커널밀도추정은 주어진 데이터와 균등분포함수의 파라미터의 신뢰구간으로부터 생성된 경계데이터를 결합하여 데이터의 질과 수에 덜 민감하다. 따라서 제안된 방법은 보수적인 통계모델링과 신뢰성 해석 결과를 도출할 수 있으며, 통계시뮬레이션과 공학예제를 통해 그 성능을 검증하였다.

FREQUENCY HISTOGRAM MODEL FOR LINE TRANSECT DATA WITH AND WITHOUT THE SHOULDER CONDITION

  • EIDOUS OMAR
    • Journal of the Korean Statistical Society
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    • 제34권1호
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    • pp.49-60
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    • 2005
  • In this paper we introduce a nonparametric method for estimating the probability density function of detection distances in line transect sampling. The estimator is obtained using a frequency histogram density estimation method. The asymptotic properties of the proposed estimator are derived and compared with those of the kernel estimator under the assumption that the data collected satisfy the shoulder condition. We found that the asymptotic mean square error (AMSE) of the two estimators have about the same convergence rate. The formula for the optimal histogram bin width is derived which minimizes AMSE. Moreover, the performances of the corresponding k-nearest-neighbor estimators are studied through simulation techniques. In the absence of our knowledge whether the shoulder condition is valid or not a new semi-parametric model is suggested to fit the line transect data. The performances of the proposed two estimators are studied and compared with some existing nonparametric and semiparametric estimators using simulation techniques. The results demonstrate the superiority of the new estimators in most cases considered.