• 제목/요약/키워드: Bayesian theorem

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베이지안 기법의 발전 및 수자원 분야에의 적용 (Development of the Bayesian method and its application to the water resources field)

  • 나우영;유철상
    • 한국수자원학회논문집
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    • 제54권1호
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    • pp.1-13
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    • 2021
  • 베이지안 기법은 수자원을 포함한 다양한 분야에서 매우 유용한 통계적 도구로 이용되고 있다. 이에 본 연구에서는 베이지안 통계학에 대해 그 배경을 고찰하고, 수자원 분야에 적용된 사례를 소개하였다. 먼저, 베이지안 통계학의 탄생에서부터 현재에 이르기까지의 발전 과정과 이에 기여한 베이지안 통계학자들의 업적 등을 정리하였다. 다음으로 베이지안 기법의 근간이 되는 베이즈 정리의 유도 과정을 제시하고, 베이즈 정리의 세 요소인 사전분포, 우도함수, 사후분포의 역할에 대해 설명하였다. 또한, 베이지안 통계학이 가지는 고유한 특징과 장점에 대해 정리하였다. 마지막으로 수자원 분야에 베이지안 기법이 적용된 사례를 여러 범주로 나누어 정리하였다. 베이지안 기법은 정보 및 빅데이터의 활용이 커짐에 따라 수자원 분야에서 더욱 유용하게 적용될 것으로 전망된다.

Bayesian Theorem-based Prediction of Success in Building Commissioning

  • Park, Borinara
    • 국제학술발표논문집
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    • The 6th International Conference on Construction Engineering and Project Management
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    • pp.523-526
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    • 2015
  • In recent years, building commissioning has often been part of a standard delivery practice in construction, particularly in the high-performance green building market, to ensure the building is designed and constructed per owner's requirements. Commissioning, therefore, intends to provide quality assurance that buildings perform as intended by the design and often helps achieve energy savings. Commissioning, however, is not as widely adopted as its potential benefits are perceived. Owners are still skeptical of the cost-effectiveness claims by energy management and commissioning professionals. One of the issues in the current commissioning practice is that not every project is guaranteed to benefit from the commissioning services. This, coupled with its added cost, the commissioning service is not acquired with great acceptance and confidence by building owners. To overcome this issue, this paper presents a unique methodology to enhance owner's predicting capability of the degree of success of commissioning service using the Bayesian theorem. The paper analyzes a situation where a future building owner wants to use a pre-commissioning in an attempt to refine the success rate of the future commissioned building performance. The author proposes the Bayesian theorem based framework to improve the current commissioning practice where building owners are not given accurate information how much successful their projects are going to be in terms of energy savings from the commissioning service. What should be provided to the building owners who consider their buildings to be commissioned is that they need some indicators how likely their projects benefit from the commissioning process. Based on this, the owners can make better informed decisions whether or not they acquire a commissioning service.

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불완전한 지식에서 정리증명을 위한 확률추론 (A Probabilistic Reasoning in Incomplete Knowledge for Theorem Proving)

  • 김진상;신양규
    • Journal of the Korean Data and Information Science Society
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    • 제12권1호
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    • pp.61-69
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    • 2001
  • 본 논문은 논리문장으로 표현된 지식을 처리하는 정리증명 과정에서 증명이 완료되기 전에 잠정적 결론을 유도하는 확률추론 기법을 제시한다. 정리증명 과정 중에 베이지안 해석을 이용하여 지식을 갱신하는 방법을 제시하고, 의사결정 방법을 사용하여 시간에 민감한 사안에 대해 신속하게 대처할 것인지 아니면 고의로 미룰 것인지를 결정하는 방법을 밝힌다.

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A novel nomogram of naïve Bayesian model for prevalence of cardiovascular disease

  • Kang, Eun Jin;Kim, Hyun Ji;Lee, Jea Young
    • Communications for Statistical Applications and Methods
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    • 제25권3호
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    • pp.297-306
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    • 2018
  • Cardiovascular disease (CVD) is the leading cause of death worldwide and has a high mortality rate after onset; therefore, the CVD management requires the development of treatment plans and the prediction of prevalence rates. In our study, age, income, education level, marriage status, diabetes, and obesity were identified as risk factors for CVD. Using these 6 factors, we proposed a nomogram based on a $na{\ddot{i}}ve$ Bayesian classifier model for CVD. The attributes for each factor were assigned point values between -100 and 100 by Bayes' theorem, and the negative or positive attributes for CVD were represented to the values. Additionally, the prevalence rate can be calculated even in cases with some missing attribute values. A receiver operation characteristic (ROC) curve and calibration plot verified the nomogram. Consequently, when the attribute values for these risk factors are known, the prevalence rate for CVD can be predicted using the proposed nomogram based on a $na{\ddot{i}}ve$ Bayesian classifier model.

신뢰도 데이터 합성 program의 개발 (A Development on Reliability Data Integration Program)

  • 이광원;박문희;오신규;한정민
    • 한국안전학회지
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    • 제18권4호
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    • pp.164-168
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    • 2003
  • Bayes theorem, suggested by the British Mathematician Bayes (18th century), enables the prior estimate of the probability of an event under the condition given by a specific This theorem has been frequently used to revise the failure probability of a component or system. 2-Stage Bayesian procedure was firstly published by Shultis et al. (1981) and Kaplan (1983), and was further developed based on the studies of Hora & Iman (1990) Papazpgolou et al., Porn(1993). For a small observed failure number (below 12), the estimated reliability of a system or component is not reliable. In the case in which the reliability data of the corresponding system or component can be found in a generic reliability reference book, however, a reliable estimation of the failure probability can be realized by using Bayes theorem, which jointly makes use of the observed data (specific data) and the data found in reference book (generic data).

다변량 확률밀도함수와 베이지안 정리를 이용한 교전공간내 공중항적의 격추확률 분포 특성 (Characteristics of Kill Probability Distribution of Air Track Within the Engagement Space Using Multivariate Probability Density Function & Bayesian Theorem)

  • 홍동욱;예승만;김주현
    • 한국항공우주학회지
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    • 제49권6호
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    • pp.521-528
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    • 2021
  • 위협평가가 끝난 공중항적에 대해 적절한 대응무기를 할당하기 위해서는 교전예상지점을 고려하여 교전적합성을 평가하는 것이 필요하다. 논문에서는 공중항적이 교전공간을 통과할 때 공중항적의 상대거리, 접근방위각 및 고도 등 다변량 속성정보를 가지고 베이지안 정리를 적용하여 교전공간내 위치에 따른 격추확률을 계산하는 방법을 제시하였다. 계산결과 교전공간내에서의 각 지점별 격추확률값의 분포형태는 최적의 예상요격지점을 기준으로 다변량 정규분포를 따르고 있음을 확인하였고, 계산된 격추확률값은 교전공간을 통과하는 공중항적의 교전가능성 평가에 적용가능할 것으로 기대된다.

Reliability analysis for fatigue damage of railway welded bogies using Bayesian update based inspection

  • Zuo, Fang-Jun;Li, Yan-Feng;Huang, Hong-Zhong
    • Smart Structures and Systems
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    • 제22권2호
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    • pp.193-200
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    • 2018
  • From the viewpoint of engineering applications, the prediction of the failure of bogies plays an important role in preventing the occurrence of fatigue. Fatigue is a complex phenomenon affected by many uncertainties (such as load, environment, geometrical and material properties, and so on). The key to predict fatigue damage accurately is how to quantify these uncertainties. A Bayesian model is used to account for the uncertainty of various sources when predicting fatigue damage of structural components. In spite of improvements in the design of fatigue-sensitive structures, periodic non-destructive inspections are required for components. With the help of modern nondestructive inspection techniques, the fatigue flaws can be detected for bogie structures, and fatigue reliability can be updated by using Bayesian theorem with inspection data. A practical fatigue analysis of welded bogies is utilized to testify the effectiveness of the proposed methods.

베이지안 분류 기반의 입 모양을 이용한 한글 모음 인식 시스템 (Recognition of Korean Vowels using Bayesian Classification with Mouth Shape)

  • 김성우;차경애;박세현
    • 한국멀티미디어학회논문지
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    • 제22권8호
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    • pp.852-859
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    • 2019
  • With the development of IT technology and smart devices, various applications utilizing image information are being developed. In order to provide an intuitive interface for pronunciation recognition, there is a growing need for research on pronunciation recognition using mouth feature values. In this paper, we propose a system to distinguish Korean vowel pronunciations by detecting feature points of lips region in images and applying Bayesian based learning model. The proposed system implements the recognition system based on Bayes' theorem, so that it is possible to improve the accuracy of speech recognition by accumulating input data regardless of whether it is speaker independent or dependent on small amount of learning data. Experimental results show that it is possible to effectively distinguish Korean vowels as a result of applying probability based Bayesian classification using only visual information such as mouth shape features.

A SIMULATION STUDY OF BAYESIAN PROPORTIONAL HAZARDS MODELS WITH THE BETA PROCESS PRIOR

  • Lee, Jae-Yong
    • Journal of the Korean Statistical Society
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    • 제34권3호
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    • pp.235-244
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    • 2005
  • In recent years, theoretical properties of Bayesian nonparametric survival models have been studied and the conclusion is that although there are pathological cases the popular prior processes have the desired asymptotic properties, namely, the posterior consistency and the Bernstein-von Mises theorem. In this study, through a simulation experiment, we study the finite sample properties of the Bayes estimator and compare it with the frequentist estimators. To our surprise, we conclude that in most situations except that the prior is highly concentrated at the true parameter value, the Bayes estimator performs worse than the frequentist estimators.

국내 원자력발전소 사고 예측 (Predicting Nuclear Power Plant Accidents in Korea)

  • 양희중
    • 산업공학
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    • 제6권2호
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    • pp.79-89
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    • 1993
  • We develop a statistical model to describe nuclear power plant accidents and predict time to next accident of various levels. We adopt Bayesian approach to obtain posterior and predictive distributions for the time to next accident. We also derive an approximation method to solve many dimensional numerical integration problems that we often encounter in a Bayesian approach. We introduce Influence Diagrams in modeling, and parameter updating, thereby the dependency or independency among model parameters are clearly shown. Also Separable Updating Theorem is utilized to easily obtain the posterior distributions.

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