• Title/Summary/Keyword: 분포추정

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A Study on the Mismatch of Sound Speed Profile in Source Localization Based on MFP (수직선배열센서를 이용한 정합장처리에서 음속분포 오정합에 의한 음원 위치추정에 관한 연구)

  • Byun Yang-Hun;Park Jae-Eun;Kim Jea-Soo
    • Proceedings of the Acoustical Society of Korea Conference
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    • spring
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    • pp.210-213
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    • 1999
  • 수동소나체계에서 음원의 위치와 관련된 매개변수를 산출하기 위해 정합장처리(Matched Field Processing)가 이용된다 본 연구에서는 수직선배열센서를 이용한 정합장처리에서 음원 위치추정에 영향을 미치는 다양한 요인 중, 수직음속분포 오정합(mismatch)에 의한 영향을 MV 프로세서 (Minimum Variance Processor)를 이용하여 모의실험함으로써 그 결과를 분석하였다. 천해 모의환경에서 동일한 기울기로 증감하는 수직음속분포 오정합은 음원 위치추정에서 거리성분의 오차를 가지며, 상이한 기울기를 갖는 수직음속분포 오정합은 거리와 수심 성분의 오차가 유발됨을 확인할 수 있었다. 심해 모의 환경에서 수직음속분포 오정합은 거리와 수심 성분의 오차가 유발되고, 거리추정의 전반적인 경향은 천해의 동일한 기울기를 가지는 경우와 유사함을 확인할 수 있었다.

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Color recovery of a chromatic digital image based on estimation of spectral distribution of illumination (장원의 분광분포 추정에 기반한 유색 디지털 영상의 색복원)

  • 이철희;이응주
    • Journal of Korea Multimedia Society
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    • v.4 no.2
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    • pp.97-107
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    • 2001
  • In this paper, an illuminant estimation algorithm of a chromatic digital images proposed. The proposed illumination estimation method has two phases. First, the surface spectral reflectances are recovered. In this case, the surface spectral reflectances recovered are limited to the maximum highlight region (MHR) which is the most achromatic and highly bright region of an image after applying intermediate color constancy process using a modified gray world algorithm. Next, the surface reflectances of the maximum highlight region are estimated using the principal component analysis method along with a set of given Munsell samples. Second, the spectral distribution of reflected lights of MHR is selected from the spectral database. That is a color difference is compared between the reflected lights of the MHR and the spectral database that is the set of reflected lights built by the given Munsell samples and a set of illuminants. Then the closest colors from the spectral database are selected. Finally, the illuminant of an image can be calculated dividing the average spectral distributions of reflected lights of MHR by the average surface reflectances of the MHR. In order to evaluate the proposed algorithm, experiments with artificial and real captured color-biased scenes were performed and numerical comparison examined. The proposed method was effective in estimating the spectral of the given illuminant sunder various illuminants.

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Studies on the Application of Weibull Distribution to Forestry (II) - Estimation of Parameter by Gamma Function - (Weibull 분포(分布)를 응용(應用)한 임학연구(林學硏究)(II) - Gamma함수(函數)에 의한 parameter의 추정(推定) -)

  • Yun, Jong Wha
    • Journal of Korean Society of Forest Science
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    • v.61 no.1
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    • pp.1-7
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    • 1983
  • In the estimation of diameter distribution in a stand using Weibull distribution function, the calculation method of experimental distribution was presented in previous paper. This study was to estimate the diameter distribution of Korean pine stands by Weibull distribution which represents Gamma function, with mean diameter and mean basal-area diameter of the random sample trees. The results obtained fitted the diameter distribution in experimental stands. Thus, this method appears to be used for the estimation of diameter distribution in a stand as well as for the analysis and prediction of stand construction for the future.

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Direction Estimation of Multiple Sound Sources Using Circular Probability Distributions (순환 확률분포를 이용한 다중 음원 방향 추정)

  • Nam, Seung-Hyon;Kim, Yong-Hoh
    • The Journal of the Acoustical Society of Korea
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    • v.30 no.6
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    • pp.308-314
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    • 2011
  • This paper presents techniques for estimating directions of multiple sound sources ranging from $0^{\circ}$ to $360^{\circ}$ using circular probability distributions having a periodic property. Phase differences containing direction information of sources can be modeled as mixtures of multiple probability distributions and source directions can be estimated by maximizing log-likelihood functions. Although the von Mises distribution is widely used for analyzing this kind of periodic data, we define a new class of circular probability distributions from Gaussian and Laplacian distributions by adopting a modulo operation to have $2{\pi}$-periodicity. Direction estimation with these circular probability distributions is done by implementing corresponding EM (Expectation-Maximization) algorithms. Simulation results in various reverberant environments confirm that Laplacian distribution provides better performance than von Mises and Gaussian distributions.

Estimation of the joint conditional distribution for repeatedly measured bivariate cholesterol data using nonparametric copula (비모수적 코플라를 이용한 반복측정 이변량 자료의 조건부 결합 분포 추정)

  • Kwak, Minjung
    • Journal of the Korean Data and Information Science Society
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    • v.27 no.3
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    • pp.689-700
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    • 2016
  • We study estimation and inference of the joint conditional distributions of bivariate longitudinal outcomes using regression models and copulas. For the estimation of marginal models we consider a class of time-varying transformation models and combine the two marginal models using nonparametric empirical copulas. Regression parameters in the transformation model can be obtained as the solution of estimating equations and our models and estimation method can be applied in many situations where the conditional mean-based models are not good enough. Nonparametric copulas combined with time-varying transformation models may allow quite flexible modeling for the joint conditional distributions for bivariate longitudinal data. We apply our method to an epidemiological study of repeatedly measured bivariate cholesterol data.

Comparison Study of Kernel Density Estimation according to Various Bandwidth Selectors (다양한 대역폭 선택법에 따른 커널밀도추정의 비교 연구)

  • Kang, Young-Jin;Noh, Yoojeong
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.32 no.3
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    • pp.173-181
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    • 2019
  • To estimate probabilistic distribution function from experimental data, kernel density estimation(KDE) is mostly used in cases when data is insufficient. The estimated distribution using KDE depends on bandwidth selectors that smoothen or overfit a kernel estimator to experimental data. In this study, various bandwidth selectors such as the Silverman's rule of thumb, rule using adaptive estimates, and oversmoothing rule, were compared for accuracy and conservativeness. For this, statistical simulations were carried out using assumed true models including unimodal and multimodal distributions, and, accuracies and conservativeness of estimating distribution functions were compared according to various data. In addition, it was verified how the estimated distributions using KDE with different bandwidth selectors affect reliability analysis results through simple reliability examples.

An Approach for the Estimation of Mixture Distribution Parameters Using EM Algorithm (복합확률분포의 파라메타 추정을 위한 EM 알고리즘의 적용 연구)

  • Daeyoung Shim;SangGu Kim
    • The Journal of The Korea Institute of Intelligent Transport Systems
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    • v.22 no.4
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    • pp.35-47
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    • 2023
  • Various single probability distributions have been used to represent time headway distributions. However, it has often been difficult to explain the time headway distribution as a single probability distribution on site. This study used the EM algorithm, which is one of the maximum likelihood estimations, for the parameters of combined mixture distributions with a certain relationship between two normal distributions for the time headway of vehicles. The time headway distribution of vehicle arrival is difficult to represent well with previously known single probability distributions. But as a result of this analysis, it can be represented by estimating the parameters of the mixture probability distribution using the EM algorithm. The result of a goodness-of-fit test was statistically significant at a significance level of 1%, which proves the reliability of parameter estimation of the mixture probability distribution using the EM algorithm.

Evaluation on the traffic count based O/D matrix using Trip Length Frequency Distribution (통행시간분포를 이용한 교통량기반 추정O/D의 신뢰성 평가에 관한 연구)

  • 이승재;손의영;김종형
    • Journal of Korean Society of Transportation
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    • v.18 no.2
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    • pp.53-62
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    • 2000
  • 현재까지 개발된 교통량 기반 O/D 추정기법들은 추정된 O/D의 신뢰성을 평가하는 기준으로 통계적 오차분석을 통한 참O/D(true O/D)와 추정O/D간의 타이를 분석하는 방법이 주류를 이루었다. 문제는 이러한 오차분석기법들이 현실적인 대규모 교통망상에 적용될 때 탐O/D를 알 수 없을 뿐만 아니라, 알 수 있다고 하더라도 추정된 O/D와의 비교 평가시에 그러한 평가방법으로 추정된 O/D의 신뢰성을 부여하기에는 많은 문제점을 가지고 있다는 점이다. 통행조사에 의한 O/D는 비록 포함되어 있는 정보가 과거의 정보라고 할지라도 현재의 통행흐름에 대하여 가장 많은 정보를 가지고 있다고 할 수 있다. 즉, 선행O/D의 정보를 크게 변화시키지 않으면서도 관측교통량으로 O/D를 추정할 수 있는 방법이 이 관점에서 매우 뛰어난 추정방법이라고 할 수 있다. 이러한 관점에서 본 연구에서는 선행O/D정보 중 통행수요예측시 가장 중요한 지표의 하나인 통행시간빈도분포 (TriP Length Frequency Distribution:TLFD)를 이용하여 추정O/D의 신뢰성 지표로 삼았다. TLFD는 4단계 모형에서 통행분포(trip distribution)시 모형을 정산하는 데 사용되는 방법으로써 죤간 통행시간을 단위별로 나누어 조사된 통행시간분포와 추정된 O/D의 통행시간분포가 유사한 지를 살피는 방법이라고 할 수 있다. 조사된 TLFD와 추정O/D의 TLFD가 유사한 모양을 이를 때 추정O/D의 신뢰성이 높다고 인정한다. 또한 TLFD는 전통적으로 조사된 표본O/D를 전 수화하는데 이용되어 그 타당성 또한 많이 검증되어 왔다. 그러나 아직까지 TLFD를 가지고 교통량으로 O/D를 추정하는 모형의 결과를 검증한 연구 결과는 없는 실정이다. 따라서, 본 연구에서는 최종적인 이러한 분석결과를 평가할 수 있을 뿐 아니라, 평가된 지표가 신뢰할 만한 수준이 아니라면, 추정된 결과를 보정할 수 있는 가능성을 제시하고자 한다.

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Bayesian Interval Estimation of Tobit Regression Model (토빗회귀모형에서 베이지안 구간추정)

  • Lee, Seung-Chun;Choi, Byung Su
    • The Korean Journal of Applied Statistics
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    • v.26 no.5
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    • pp.737-746
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    • 2013
  • The Bayesian method can be applied successfully to the estimation of the censored regression model introduced by Tobin (1958). The Bayes estimates show improvements over the maximum likelihood estimate; however, the performance of the Bayesian interval estimation is questionable. In Bayesian paradigm, the prior distribution usually reflects personal beliefs about the parameters. Such subjective priors will typically yield interval estimators with poor frequentist properties; however, an objective noninformative often yields a Bayesian procedure with good frequentist properties. We examine the performance of frequentist properties of noninformative priors for the Tobit regression model.

Goodness-of-fit test for normal distribution based on parametric and nonparametric entropy estimators (모수적 엔트로피 추정량과 비모수적 엔트로피 추정량에 기초한 정규분포에 대한 적합도 검정)

  • Choi, Byungjin
    • Journal of the Korean Data and Information Science Society
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    • v.24 no.4
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    • pp.847-856
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    • 2013
  • In this paper, we deal with testing goodness-of-fit for normal distribution based on parametric and nonparametric entropy estimators. The minimum variance unbiased estimator for the entropy of the normal distribution is derived as a parametric entropy estimator to be used for the construction of a test statistic. For a nonparametric entropy estimator of a data-generating distribution under the alternative hypothesis sample entropy and its modifications are used. The critical values of the proposed tests are estimated by Monte Carlo simulations and presented in a tabular form. The performance of the proposed tests under some selected alternatives are investigated by means of simulations. The results report that the proposed tests have better power than the previous entropy-based test by Vasicek (1976). In applications, the new tests are expected to be used as a competitive tool for testing normality.