• Title/Summary/Keyword: Markov chain monte carlo

Search Result 271, Processing Time 0.024 seconds

BAYESIAN MODEL SELECTION IN REGRESSION MODEL WITH AUTOREGRESSIVE ERRORS

  • Chung, Youn-Shik;Sohn, Keon-Tae;Kim, Sung-Duk;Kim, Chan-Soo
    • Journal of applied mathematics & informatics
    • /
    • v.9 no.1
    • /
    • pp.289-301
    • /
    • 2002
  • This paper considers the Bayesian analysis of the regression model wish autoregressive errors. The Bayesian approach for finding the order p of autoregressive error is proposed and the proposed method can be simplified by generalized Savage-Dicky density ratio(Verdinelli and Wasser-man, [18]). And the Markov chain Monte Carlo method(Gibbs sample, [7]) is used in order to overcome the difficulty of Bayesian computations. Final1y, several examples are used to illustrate our proposed methodology.

Nonstationary Frequency Analysis of Hydrologic Extreme Variables Considering of Seasonality and Trend (계절성과 경향성을 고려한 극치수문자료의 비정상성 빈도해석)

  • Lee, Jeong-Ju;Kwon, Hyun-Han;Moon, Young-Il
    • Proceedings of the Korea Water Resources Association Conference
    • /
    • 2010.05a
    • /
    • pp.581-585
    • /
    • 2010
  • This study introduced a Bayesian based frequency analysis in which the statistical trend seasonal analysis for hydrologic extreme series is incorporated. The proposed model employed Gumbel and GEV extreme distribution to characterize extreme events and a fully coupled bayesian frequency model was finally utilized to estimate design rainfalls in Seoul. Posterior distributions of the model parameters in both trend and seasonal analysis were updated through Markov Chain Monte Carlo Simulation mainly utilizing Gibbs sampler. This study proposed a way to make use of nonstationary frequency model for dynamic risk analysis, and showed an increase of hydrologic risk with time varying probability density functions. In addition, full annual cycle of the design rainfall through seasonal model could be applied to annual control such as dam operation, flood control, irrigation water management, and so on. The proposed study showed advantage in assessing statistical significance of parameters associated with trend analysis through statistical inference utilizing derived posterior distributions.

  • PDF

Bayesian analysis for the bivariate Poisson regression model: Applications to road safety countermeasures

  • Choe, Hyeong-Gu;Lim, Joon-Beom;Won, Yong-Ho;Lee, Soo-Beom;Kim, Seong-W.
    • Journal of the Korean Data and Information Science Society
    • /
    • v.23 no.4
    • /
    • pp.851-858
    • /
    • 2012
  • We consider a bivariate Poisson regression model to analyze discrete count data when two dependent variables are present. We estimate the regression coefficients as sociated with several safety countermeasures. We use Markov chain and Monte Carlo techniques to execute some computations. A simulation and real data analysis are performed to demonstrate model fitting performances of the proposed model.

Herd behavior and volatility in financial markets

  • Park, Beum-Jo
    • Journal of the Korean Data and Information Science Society
    • /
    • v.22 no.6
    • /
    • pp.1199-1215
    • /
    • 2011
  • Relaxing an unrealistic assumption of a representative percolation model, this paper demonstrates that herd behavior leads to a high increase in volatility but not trading volume, in contrast with information flows that give rise to increases in both volatility and trading volume. Although detecting herd behavior has posed a great challenge due to its empirical difficulty, this paper proposes a new methodology for detecting trading days with herding. Furthermore, this paper suggests a herd-behavior-stochastic-volatility model, which accounts for herding in financial markets. Strong evidence in favor of the model specification over the standard stochastic volatility model is based on empirical application with high frequency data in the Korean equity market, strongly supporting the intuition that herd behavior causes excess volatility. In addition, this research indicates that strong persistence in volatility, which is a prevalent feature in financial markets, is likely attributed to herd behavior rather than news.

Data Mining Using Reversible Jump MCMC and Bayesian Network Learning (Reversible Jump MCMC와 베이지안망 학습에 의한 데이터마이닝)

  • 하선영;장병탁
    • Proceedings of the Korean Information Science Society Conference
    • /
    • 2000.10b
    • /
    • pp.90-92
    • /
    • 2000
  • 데이터마이닝 문제는 데이터를 그 속성들에 따라 분류하여 예측하는 것뿐만 아니라 분류된 속성들간의 연관성에 대해 잘 설명할 수 있어야 한다. 일반적으로 변수들간의 연관성을 잘 설명할 수 있으면서도 높은 예측력을 가지는 방법으로는 베이지안 네트웍 분류자(Bayesian network classifier)가 있다. 그러나 이것은 데이터 마이닝과 같은 대용량 데이터에서는 성능이 떨어지는 단점이 있다. 이에 이 논문에서는 최근 RBF 신경망이 입력변수 선정문제에 성공적으로 적용된 Reversible Jump Markov Chain Monte Carlo 방법을 이용하여 최적의 입력변수들만을 선택하여 베이지안 네트웍을 학습하는 Selective BN Augmented Naive-Bayes Classifier를 새로운 방안으로 제안하고 이를 실제 데이터마이닝 문제에 적용한 결과를 제시한다.

  • PDF

Concept and Procedure of Hydrologic Frequency Analysis with Climate Information (기상정보를 고려한 수문빈도해석 개념 및 절차)

  • Moon, Young-Il;Kwon, Hyun-Han
    • 한국방재학회:학술대회논문집
    • /
    • 2008.02a
    • /
    • pp.727-730
    • /
    • 2008
  • 최근 연구에 의하면 기상 등의 외부적 요인이 수문학적 빈도를 변화시킨다고 알려지고 있다. 그러나 전통적인 수문학적 빈도해석은 자료의 정상성을 전제로 하기 때문에 어떤 외부인자의 따른 영향을 고려할 수 없다. 본 연구에서는 비정상성 빈도해석 모형의 기본 개념 및 절차에 대해서 살펴보았고 이를 국내 자료에 대해서 적용 검토하였다. 본 연구에서는 계층적 Bayesian 방법을 이용하여 한국에서 극치사상의 영향을 미치는 다양한 영향 인자를 평가하였다. 해수면온도, 예측 GCM 강수량 및 기상인자를 잠재적인 영향인자로 고려하였다. 수문위험도 분석에 관련된 매개변수는 Markov Chain Monte Carlo (MCMC) 방법을 이용하였다. 각 예측 인자의 적합성 및 중요성은 각 예측인자와 관련된 매개변수의 사후분포를 이용하여 검토 평가하였다.

  • PDF

Bayesian Curve-Fitting in Semiparametric Small Area Models with Measurement Errors

  • Hwang, Jinseub;Kim, Dal Ho
    • Communications for Statistical Applications and Methods
    • /
    • v.22 no.4
    • /
    • pp.349-359
    • /
    • 2015
  • We study a semiparametric Bayesian approach to small area estimation under a nested error linear regression model with area level covariate subject to measurement error. Consideration is given to radial basis functions for the regression spline and knots on a grid of equally spaced sample quantiles of covariate with measurement errors in the nested error linear regression model setup. We conduct a hierarchical Bayesian structural measurement error model for small areas and prove the propriety of the joint posterior based on a given hierarchical Bayesian framework since some priors are defined non-informative improper priors that uses Markov Chain Monte Carlo methods to fit it. Our methodology is illustrated using numerical examples to compare possible models based on model adequacy criteria; in addition, analysis is conducted based on real data.

Nonparametric Bayesian methods: a gentle introduction and overview

  • MacEachern, Steven N.
    • Communications for Statistical Applications and Methods
    • /
    • v.23 no.6
    • /
    • pp.445-466
    • /
    • 2016
  • Nonparametric Bayesian methods have seen rapid and sustained growth over the past 25 years. We present a gentle introduction to the methods, motivating the methods through the twin perspectives of consistency and false consistency. We then step through the various constructions of the Dirichlet process, outline a number of the basic properties of this process and move on to the mixture of Dirichlet processes model, including a quick discussion of the computational methods used to fit the model. We touch on the main philosophies for nonparametric Bayesian data analysis and then reanalyze a famous data set. The reanalysis illustrates the concept of admissibility through a novel perturbation of the problem and data, showing the benefit of shrinkage estimation and the much greater benefit of nonparametric Bayesian modelling. We conclude with a too-brief survey of fancier nonparametric Bayesian methods.

Bayesian Estimation for Inflection S-shaped Software Reliability Growth Model (변곡 S-형 소프트웨어 신뢰도성장모형의 베이지안 모수추정)

  • Kim, Hee-Soo;Lee, Chong-Hyung;Park, Dong-Ho
    • Journal of Korean Society for Quality Management
    • /
    • v.37 no.4
    • /
    • pp.16-22
    • /
    • 2009
  • The inflection S-shaped software reliability growth model (SRGM) proposed by Ohba(1984) is one of the most commonly used models and has been discussed by many authors. The main purpose of this paper is to estimate the parameters of Ohba's SRGM within the Bayesian framework by applying the Markov chain Monte Carlo techniques. While the maximum likelihood estimates for these parameters are well known, the Bayesian method for the inflection S-shaped SRGM have not been discussed in the literature. The proposed methods can be quite flexible depending on the choice of prior distributions for the parameters of interests. We also compare the Bayesian methods with the maximum likelihood method numerically based on the real data.

Parameter Calibration for WRF-Hydro model in Korea (WRF-Hydro 모형 한반도 적용을 위한 파라미터 보정)

  • Lee, Jaehyeong;Kim, Yeonjoo
    • Proceedings of the Korea Water Resources Association Conference
    • /
    • 2018.05a
    • /
    • pp.173-173
    • /
    • 2018
  • 본 연구는 기상-수문 분야에서 고해상도 수문기상요소를 산출하기 위해 WRF-Hydro(Weather Research and Forecasting and Model Hydrological modeling extension package) 모형을 한반도 대상으로 구축하였다. 모형은 미국 대기 연구 국립센터(NOAA)에서 개발된 커뮤니티형 고해상도 예측모델이므로 미국 등에서 활발히 활용되기 시작하였으나 아직 우리나라 적용성에 대한 연구는 많지 않다. 본 연구에서는 WRF-Hydro 모형을 한반도에 적절히 사용하기 위해 표면유출, 보수깊이, 표면거칠기와 같은 파라미터를 보정하였다. WRF-Hydro는 지역 기상모형인 WRF와 연계하여 coupled WRF/WRF-Hydro 모형을 구동하였으며, 고해상도 유출값을 얻기 위해 미국 지질조사국(USGS)에서 제공한 HydroSHEDS(Hydrological data and map based on SHuttle Elevation Derivatives at multiple Scales)를 이용하였다. 본 연구에서는 관측된 유출값을 Markov Chain Monte Carlo(MCMC) 방법을 활용하여 모형값과 비교하여 파라미터 보정을 수행하였으며, 파라미터 보정된 WRF/WRF-Hydro를 활용해 한반도 과거 홍수 및 가뭄 사상을 모의하여 결과를 분석하였다.

  • PDF