• 제목/요약/키워드: prior probability

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위험도 분석을 이용한 철도투자사업 경제성평가 적용방안 (Application of Risk Analysis for Economic Evaluation of Railroad Investments)

  • 이호;서선덕
    • 한국철도학회:학술대회논문집
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    • 한국철도학회 2001년도 춘계학술대회 논문집
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    • pp.44-51
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    • 2001
  • To account for uncertainties involved in an economic analysis of project, sensitivity analysis are usually being done in Korea. Though useful for policy analysis, but it larks explicit consideration of probability of occurring certain events considered in the sensitivity analysis. Risk analysis otherwise can explicitly account for the probability of certain event which has dire impact on project viability, such as cost, discount rate, and size of benefit. This paper reports experience of applying risk analysis method for economic evaluation of railroad investment. Probability distribution of event has paramount impact on the risk analysis results, while not many prior researches dealt with these issues. Probability distribution of rolling stock cost and operating cost, in addition to those cost variables, are developed considering railway demand in this study. Case study results are reported. Issues in applying risk analysis are reported in addition to further research direction.

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INVERSE GAUSSIAN분포의 모수비에 대한 무정보적 사전분포에 대한 연구 (Noninformative Priors for the Ratio of Parameters in Inverse Gaussian Distribution)

  • 강상길;김달호;이우동
    • 응용통계연구
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    • 제17권1호
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    • pp.49-60
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    • 2004
  • 이 논문의 목적은 역 가우스 분포의 모수비가 관심의 대상일 때, 그 모수비에 대한 무정보적 사전분포를 구하는데 있다. 특별히, 모수비에 대한 확률대응사전분포와 기준 사전분포를 제안하였다. 먼저, 관심의 대상이 되는 모수에 대해 모수 직교화 변환을 구하고, 모수 직교화 변환을 이용하여 확률대응사전분포와 기준사전분포를 구하였다. 특히 확률대응사전분포의 일치차수는 1차임을 보였으며 2차 확률대응사전분포는 존재하지 않음을 보였다. 또한 제안된 사전분포에 의해 유도된 사후분포는 적절 분포임을 증명하였다. 모의 실험을 통하여 확률대응사전분포와 기준사전분포를 비교했으며, 실제자료를 이용하여 분석하는 예를 보였다.

구역분할 알고리즘을 이용한 다수 탐색플랫폼의 구역할당 방법 (A Methodology for Partitioning a Search Area to Allocate Multiple Platforms)

  • 안우선;조윤철;이찬선
    • 한국군사과학기술학회지
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    • 제21권2호
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    • pp.225-234
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    • 2018
  • In this paper, we consider a problem of partitioning a search area into smaller rectangular regions, so that multiple platforms can conduct search operations independently without requiring unnecessary coordination among themselves. The search area consists of cells where each cell has some prior information regarding the probability of target existence. The detection probability in particular cell is evaluated by multiplying the observation probability of the platform and the target existence probability in that cell. The total detection probability within the search area is defined as the cumulative detection probability for each cell. However, since this search area partitioning problem is NP-Hard, we decompose the problem into three sequential phases to solve this computationally intractable problem. Additionally, we discuss a special case of this problem, which can provide an optimal analytic solution. We also examine the performance of the proposed approach by comparing our results with the optimal analytic solution.

External knowledge를 사용한 LFMMI 기반 음향 모델링 (LFMMI-based acoustic modeling by using external knowledge)

  • 박호성;강요셉;임민규;이동현;오준석;김지환
    • 한국음향학회지
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    • 제38권5호
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    • pp.607-613
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    • 2019
  • 본 논문은 external knowledge를 사용한 lattice 없는 상호 정보 최대화(Lattice Free Maximum Mutual Information, LF-MMI) 기반 음향 모델링 방법을 제안한다. External knowledge란 음향 모델에서 사용하는 학습 데이터 이외의 문자열 데이터를 말한다. LF-MMI란 심층 신경망(Deep Neural Network, DNN) 학습의 최적화를 위한 목적 함수의 일종으로, 구별 학습에서 높은 성능을 보인다. LF-MMI에는 DNN의 사후 확률을 계산하기 위해 음소의 열을 사전 확률로 갖는다. 본 논문에서는 LF-MMI의 목적식의 사전 확률을 담당하는 음소 모델링에 external knowlege를 사용함으로써 과적합의 가능성을 낮추고, 음향 모델의 성능을 높이는 방법을 제안한다. External memory를 사용하여 사전 확률을 생성한 LF-MMI 모델을 사용했을 때 기존 LF-MMI와 비교하여 14 %의 상대적 성능 개선을 보였다.

Noninformative Priors in Freund's Bivariate Exponential Distribution : Symmetry Case

  • 조장식;백승욱;김희재
    • Journal of the Korean Data and Information Science Society
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    • 제13권2호
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    • pp.235-242
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    • 2002
  • In this paper, we develop noninformative priors that are used for estimating the ratio of failure rates under Freund's bivariate exponential distribution. A class of priors is found by matching the coverage probabilities of one-sided Baysian credible interval with the corresponding frequentist coverage probabilities. Also the propriety of posterior under the noninformative priors is proved and the frequentist coverage probabilities are investigated for small samples via simulation study.

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Development of Matching Priors for P(X < Y) in Exprnential dlstributions

  • Lee, Gunhee
    • Journal of the Korean Statistical Society
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    • 제27권4호
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    • pp.421-433
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    • 1998
  • In this paper, matching priors for P(X < Y) are investigated when both distributions are exponential distributions. Two recent approaches for finding noninformative priors are introduced. The first one is the verger and Bernardo's forward and backward reference priors that maximizes the expected Kullback-Liebler Divergence between posterior and prior density. The second one is the matching prior identified by matching the one sided posterior credible interval with the frequentist's desired confidence level. The general forms of the second- order matching prior are presented so that the one sided posterior credible intervals agree with the frequentist's desired confidence levels up to O(n$^{-1}$ ). The frequentist coverage probabilities of confidence sets based on several noninformative priors are compared for small sample sizes via the Monte-Carlo simulation.

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Bayesian Methods for Generalized Linear Models

  • Paul E. Green;Kim, Dae-Hak
    • Communications for Statistical Applications and Methods
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    • 제6권2호
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    • pp.523-532
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    • 1999
  • Generalized linear models have various applications for data arising from many kinds of statistical studies. Although the response variable is generally assumed to be generated from a wide class of probability distributions we focus on count data that are most often analyzed using binomial models for proportions or poisson models for rates. The methods and results presented here also apply to many other categorical data models in general due to the relationship between multinomial and poisson sampling. The novelty of the approach suggested here is that all conditional distribution s can be specified directly so that staraightforward Gibbs sampling is possible. The prior distribution consists of two stages. We rely on a normal nonconjugate prior at the first stage and a vague prior for hyperparameters at the second stage. The methods are demonstrated with an illustrative example using data collected by Rosenkranz and raftery(1994) concerning the number of hospital admissions due to back pain in Washington state.

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Geostatistics for Bayesian interpretation of geophysical data

  • Oh Seokhoon;Lee Duk Kee;Yang Junmo;Youn Yong-Hoon
    • 한국지구물리탐사학회:학술대회논문집
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    • 한국지구물리탐사학회 2003년도 Proceedings of the international symposium on the fusion technology
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    • pp.340-343
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    • 2003
  • This study presents a practical procedure for the Bayesian inversion of geophysical data by Markov chain Monte Carlo (MCMC) sampling and geostatistics. We have applied geostatistical techniques for the acquisition of prior model information, and then the MCMC method was adopted to infer the characteristics of the marginal distributions of model parameters. For the Bayesian inversion of dipole-dipole array resistivity data, we have used the indicator kriging and simulation techniques to generate cumulative density functions from Schlumberger array resistivity data and well logging data, and obtained prior information by cokriging and simulations from covariogram models. The indicator approach makes it possible to incorporate non-parametric information into the probabilistic density function. We have also adopted the MCMC approach, based on Gibbs sampling, to examine the characteristics of a posteriori probability density function and the marginal distribution of each parameter. This approach provides an effective way to treat Bayesian inversion of geophysical data and reduce the non-uniqueness by incorporating various prior information.

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Understanding Relationships Among Risk Factors in Container Port Operation UsingBayesian Network

  • Tsenskhuu Nyamjav;Min-Ho Ha
    • 한국항해항만학회지
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    • 제47권2호
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    • pp.93-99
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    • 2023
  • This study aimed to determine relationships among risk factors influencing container port operation using Bayesian network. Risk factors identified from prior studies were classified into five groups: human error, machinery error, environmental risk, security risk, and natural disasters. P anel experts discussed identified risk factors to fulfil conditional probability tables of the interdependence model. The interdependence model was also validated by sensitivity analysis and provided an interrelation of factors influencing the direction of each other. Results of the interdependence model were partially in line with results from prior studies while practices in the global port industry confirmed interrelationships of risk factors. In addition, the relationship between top-ranked risk factors can provide a schematic drawing of the model. Accordingly, results of this study can expand the prior research in the Korean port industry, which may help port authorities improve risk management and reduce losses from the risk.

SOME POPULAR WAVELET DISTRIBUTION

  • Nadarajah, Saralees
    • 대한수학회보
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    • 제44권2호
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    • pp.265-270
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    • 2007
  • The modern approach for wavelets imposes a Bayesian prior model on the wavelet coefficients to capture the sparseness of the wavelet expansion. The idea is to build flexible probability models for the marginal posterior densities of the wavelet coefficients. In this note, we derive exact expressions for a popular model for the marginal posterior density.