• 제목/요약/키워드: Monte Carlo sampling

검색결과 291건 처리시간 0.026초

전력 공급신뢰도 평가를 위한 교육용 소프트웨어 개발 (A Development of Educational Software for Power System Reliability Assessment)

  • 김광원
    • 조명전기설비학회논문지
    • /
    • 제29권7호
    • /
    • pp.71-79
    • /
    • 2015
  • This paper is on the development of computer software which can be utilized as a power system analysis tool for reliability assessment education. The input data of the developed software are so simple that even a non-expert easily understand how to use it. The software provides not only reliability indices but also their distributions, moreover, it provides the factors those effect the indices, which made the software even more useful for educational purpose. The developed software utilized Monte-carlo simulation based on the state duration sampling, therefore it can manage various probability distributions such as exponential, Weibull, gamma and lognormal distribution. Within the software, the parameters of the distribution can be decided automatically from its mean and variance, that is another advantage as an educational software.

Empirical Bayes Posterior Odds Ratio for Heteroscedastic Classification

  • Kim, Hea-Jung
    • Journal of the Korean Statistical Society
    • /
    • 제16권2호
    • /
    • pp.92-101
    • /
    • 1987
  • Our interest is to access in some way teh relative odds or probability that a multivariate observation Z belongs to one of k multivariate normal populations with unequal covariance matrices. We derived the empirical Bayes posterior odds ratio for the classification rule when population parameters are unknown. It is a generalization of the posterior odds ratio suggested by Gelsser (1964). The classification rule does not have complicated distribution theory which a large variety of techniques from the sampling viewpoint have. The proposed posterior odds ratio is compared to the Gelsser's posterior odds ratio through a Monte Carlo study. The results show that the empiricla Bayes posterior odds ratio, in general, performs better than the Gelsser's. Especially, for large dimension of Z and small training sample, the performance is prominent.

  • PDF

Marginal Likelihoods for Bayesian Poisson Regression Models

  • Kim, Hyun-Joong;Balgobin Nandram;Kim, Seong-Jun;Choi, Il-Su;Ahn, Yun-Kee;Kim, Chul-Eung
    • Communications for Statistical Applications and Methods
    • /
    • 제11권2호
    • /
    • pp.381-397
    • /
    • 2004
  • The marginal likelihood has become an important tool for model selection in Bayesian analysis because it can be used to rank the models. We discuss the marginal likelihood for Poisson regression models that are potentially useful in small area estimation. Computation in these models is intensive and it requires an implementation of Markov chain Monte Carlo (MCMC) methods. Using importance sampling and multivariate density estimation, we demonstrate a computation of the marginal likelihood through an output analysis from an MCMC sampler.

불연속면의 영향을 고려한 암반동굴의 확률유한요소해석 (Stochastic Finite Element Analysis for Rock Caverns Considering the Effect of Discontinuities)

  • 최규섭;황신일;이경진
    • 한국전산구조공학회:학술대회논문집
    • /
    • 한국전산구조공학회 1996년도 가을 학술발표회 논문집
    • /
    • pp.95-102
    • /
    • 1996
  • In this study, a stochastic finite element model is proposed with a view to consider the uncertainty of physical properties of discontinuous rock mass in the analysis of structural behavior on underground caverns. In so doing, the LHS(Latin Hypercube sampling) technique has been applied to make up weak points of the Crude Monte Carlo technique. Concerning the effect of discontinuities, a joint finite element model is used that is known to be superior in explaining faults, cleavage, things of that nature. To reflect the uncertainty of material properties, the variables such as the the elastic modulus, the poisson's ratio, the joint shear stiffness, and the joint normal stiffness have been used, all of which can be applicable through normal distribution, log-normal distribution, and rectangulary uniform distribution. The validity of the newly developed computer program has been confirmed in terms of verification examples. And, the applicability of the program has been tested in terms of the analysis of the circular cavern in discontinuous rock mass.

  • PDF

Multiple Comparisons for a Bivariate Exponential Populations Based On Dirichlet Process Priors

  • Cho, Jang-Sik
    • Journal of the Korean Data and Information Science Society
    • /
    • 제18권2호
    • /
    • pp.553-560
    • /
    • 2007
  • In this paper, we consider two components system which lifetimes have Freund's bivariate exponential model with equal failure rates. We propose Bayesian multiple comparisons procedure for the failure rates of I Freund's bivariate exponential populations based on Dirichlet process priors(DPP). The family of DPP is applied in the form of baseline prior and likelihood combination to provide the comparisons. Computation of the posterior probabilities of all possible hypotheses are carried out through Markov Chain Monte Carlo(MCMC) method, namely, Gibbs sampling, due to the intractability of analytic evaluation. The whole process of multiple comparisons problem for the failure rates of bivariate exponential populations is illustrated through a numerical example.

  • PDF

Bayesian inference in finite population sampling under measurement error model

  • Goo, You Mee;Kim, Dal Ho
    • Journal of the Korean Data and Information Science Society
    • /
    • 제23권6호
    • /
    • pp.1241-1247
    • /
    • 2012
  • The paper considers empirical Bayes (EB) and hierarchical Bayes (HB) predictors of the finite population mean under a linear regression model with measurement errors We discuss how to calculate the mean squared prediction errors of the EB predictors using jackknife methods and the posterior standard deviations of the HB predictors based on the Markov Chain Monte Carlo methods. A simulation study is provided to illustrate the results of the preceding sections and compare the performances of the proposed procedures.

유전적 기법에 의한 지구물리자료의 역산 (Inversion of Geophysical Data Using Genetic Algorithms)

  • 김희준
    • 자원환경지질
    • /
    • 제28권4호
    • /
    • pp.425-431
    • /
    • 1995
  • Genetic algorithms are so named because they are analogous to biological processes. The model parameters are coded in binary form. The algorithm then starts with a randomly chosen population of models called chromosomes. The second step is to evaluate the fitness values of these models, measured by a correlation between data and synthetic for a particular model. Then, the three genetic processes of selection, crossover, and mutation are performed upon the model in sequence. Genetic algorithms share the favorable characteristics of random Monte Carlo over local optimization methods in that they do not require linearizing assumptions nor the calculation of partial derivatives, are independent of the misfit criterion, and avoid numerical instabilities associated with matrix inversion. An additional advantage over converntional methods such as iterative least squares is that the sampling is global, rather than local, thereby reducing the tendency to become entrapped in local minima and avoiding the dependency on an assumed starting model.

  • PDF

A Note on Tests for Seasonal Unit Roots in the Presence of Deterministic Trends

  • Ahn, Sung-Keuk;Cho, Sin-Sup
    • Journal of the Korean Statistical Society
    • /
    • 제22권1호
    • /
    • pp.113-124
    • /
    • 1993
  • In this paper we show that the results of Ahn and Cho (1992) can be applied to a more general class of seasonal models, especially models with autocorrelated errors. Employing the idea of the "two-step estimation" method, we provide test statistics which are easy to compute and have the same asymptotic properties as those in Ahn and Cho (1992) for seasonal unit roots. A numerical example is presented to illustrate the methods and concepts. The power of the test statistics for finite samples is examined through a Monte Carlo sampling experiment.xperiment.

  • PDF

전력시장 및 계통 데이터의 불확실성을 반영한 송전망확장의 경제성 평가 (Economic Assessment of Transmission Expansion in Uncertain Market)

  • 이재희;김진아;주성관;김태훈;유헌수;조광욱
    • 대한전기학회:학술대회논문집
    • /
    • 대한전기학회 2008년도 제39회 하계학술대회
    • /
    • pp.562-563
    • /
    • 2008
  • 경쟁적 전력시장에서는 이익주체의 다양화로 송전망확장은 개별 시장참여자의 경제적 편익에 큰 영향을 미칠 수 있다. 송전설비 투자계획은 미래 전력 시장 및 계통의 예측을 바탕으로 하기 때문에 예측의 불확실성에서 발생하는 설비투자의 과잉.과소투자의 최소화 방안이 필요하다. 따라서 본 논문은 송전망확장사업의 경제적 가치를 평가하는 방법에 대해 연구였고 미래 시장 및 계통의 불확실성을 반영하기 위해 전력수요와 연료가격의 과거 예측오차의 표준편차를 이용한 예측값의 확률밀도함수의 모델링 방법을 이용한 송전망확장의 경제성 평가 방법을 제시한다. Monte Carlo Sampling을 이용, 송전망확장으로 인한 시장참여자의 경제적 편익 변화의 기대값과 편익 변화의 범위를 산출함으로써 설비투자의 리스크와 잠재효과에 대해 분석한다.

  • PDF

On a Bayes Criterion for the Goodness-of-Link Test for Binary Response Regression Models : Probit Link versus Logit Link

  • Kim, Hea-Jung
    • Journal of the Korean Statistical Society
    • /
    • 제26권2호
    • /
    • pp.261-276
    • /
    • 1997
  • In the context of binary response regression, the problem of constructing Bayesian goodness-of-link test for testing logit link versus probit link is considered. Based upon the well known facts that cdf of logistic variate .approx. cdf of $t_{8}$/.634 and, as .nu. .to. .infty., cdf of $t_{\nu}$ approximates to that of N(0,1), Bayes factor is derived as a test criterion. A synthesis of the Gibbs sampling and a marginal likelihood estimation scheme is also proposed to compute the Bayes factor. Performance of the test is investigated via Monte Carlo study. The new test is also illustrated with an empirical data example.e.

  • PDF