• Title/Summary/Keyword: Markov 연쇄

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인과적 마코프 조건과 비결정론적 세계

  • Lee, Yeong-Eui
    • Korean Journal of Logic
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    • v.8 no.1
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    • pp.47-67
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    • 2005
  • Bayesian networks have been used in studying and simulating causal inferences by using the probability function distributed over the variables consisting of inquiry space. The focus of the debates concerning Bayesian networks is the causal Markov condition that constrains the probabilistic independence between all the variables which are not in the causal relations. Cartwright, a strong critic about the Bayesian network theory, argues that the causal Markov condition cannot hold in indeterministic systems, so it cannot be a valid principle for causal inferences. The purpose of the paper is to explore whether her argument on the causal Markov condition is valid. Mainly, I shall argue that it is possible for upholders of the causal Markov condition to respond properly the criticism of Cartwright through the continuous causal model that permits the infinite sequence of causal events.

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Reliability Analysis of Stowage System of Container Crane using Subset Simulation with Markov Chain Monte Carlo Sampling (마르코프 연쇄 몬테 카를로 샘플링과 부분집합 시뮬레이션을 사용한 컨테이너 크레인 계류 시스템의 신뢰성 해석)

  • Park, Wonsuk;Ok, Seung-Yong
    • Journal of the Korean Society of Safety
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    • v.32 no.3
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    • pp.54-59
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    • 2017
  • This paper presents an efficient finite analysis model and a simulation-based reliability analysis method for stowage device system failure of a container crane with respect to lateral load. A quasi-static analysis model is introduced to simulate the nonlinear resistance characteristics and failure of tie-down and stowage pin, which are the main structural stowage devices of a crane. As a reliability analysis method, a subset simulation method is applied considering the uncertainties of later load and mechanical characteristic parameters of stowage devices. An efficient Markov chain Monte Carlo (MCMC) method is applied to sample random variables. Analysis result shows that the proposed model is able to estimate the probability of failure of crane system effectively which cannot be calculated practically by crude Monte Carlo simulation method.

Climate Change Impacts on Meteorological Drought and Flood (기후변화가 기상학적 가뭄과 홍수에 미치는 영향)

  • Lee, Dong-Ryul;Kim, Ung-Tae;Yoo, Chul-Sang
    • Journal of Korea Water Resources Association
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    • v.37 no.4
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    • pp.315-328
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    • 2004
  • Recent increase of green house gases may increase the frequency of meteorological extremes. In this study, using the index and meteorological data generated by the Markov chain model under the condition of GCM predictions, the possible width of variability of flood and drought occurrences were predicted. As results, we could find that the frequency of both floods and droughts would be increased to make the water resources planning and management more difficult. Thus, it is recommended to include the effect of climate change on water resources in the related policy making.

Prediction in run-off triangle using Bayesian linear model (삼각분할표 자료에서 베이지안 모형을 이용한 예측)

  • Lee, Ju-Mi;Lim, Jo-Han;Hahn, Kyu-S.;Lee, Kyeong-Eun
    • Journal of the Korean Data and Information Science Society
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    • v.20 no.2
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    • pp.411-423
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    • 2009
  • In the current paper, by extending Verall (1990)'s work, we propose a new Bayesian model for analyzing run-off triangle data. While Verall's (1990) work only account for the calendar year and evolvement time effects, our model further accounts for the "absolute time" effects. We also suggest a Markov Chain Monte Carlo method that can be used for estimating the proposed model. We apply our proposed method to analyzing three empirical examples. The results demonstrate that our method significantly reduces prediction error when compared with the existing methods.

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Bayesian Analysis for the Zero-inflated Regression Models (영과잉 회귀모형에 대한 베이지안 분석)

  • Jang, Hak-Jin;Kang, Yun-Hee;Lee, S.;Kim, Seong-W.
    • The Korean Journal of Applied Statistics
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    • v.21 no.4
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    • pp.603-613
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    • 2008
  • We often encounter the situation that discrete count data have a large portion of zeros. In this case, it is not appropriate to analyze the data based on standard regression models such as the poisson or negative binomial regression models. In this article, we consider Bayesian analysis for two commonly used models. They are zero-inflated poisson and negative binomial regression models. We use the Bayes factor as a model selection tool and computation is proceeded via Markov chain Monte Carlo methods. Crash count data are analyzed to support theoretical results.

Daily Rainfall Simulation by Rainfall Frequency and State Model of Markov Chain (강우 빈도와 마코프 연쇄의 상태모형에 의한 일 강우량 모의)

  • Jung, Young-Hun;Kim, Buyng-Sik;Kim, Hung Soo;Shim, Myung-Pil
    • Journal of Wetlands Research
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    • v.5 no.2
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    • pp.1-13
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    • 2003
  • In Korea, most of the rainfalls have been concentrated in the flood season and the flood study has received more attention than low flow analysis. One of the reasons that the analysis of low flows has less attention is the lacks of the required data like daily rainfall and so we have used the stochastic processes such as pulse noise, exponential distribution, and state model of Markov chain for the rainfall simulation in short term such as daily. Especially this study will pay attention to the state model of Markov chain. The previous study had performed the simulation study by the state model without considerations of the flood and non-flood periods and without consideration of the frequency of rainfall for the period of a state. Therefore this study considers afore mentioned two cases and compares the results with the known state model. As the results, the RMSEs of the suggested and known models represent the similar results. However, the PRE(relative percentage error) shows the suggested model is better results.

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A Study on Statistical Modeling of Spatial Land-use Change Prediction (토지이용 공간변화 예측의 통계학적 모형에 관한 연구)

  • 김의홍
    • Spatial Information Research
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    • v.5 no.2
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    • pp.177-183
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    • 1997
  • S1he concept of a class in the land-use classification system can be equally applied to a class in the land-use-change classification. The maximum likelihood method using linear discriminant function and Markov transition matrix method were integrated to a synthetic modeling effort in order to project spatial allocation of land-use-change and quantitative assignment of that prediction as a whole. The algorithm of both the multivariate discriminant function and the Markov chain matrix were discussed and the test of synthetic model on the study area was resulted in the projection of '90 year as well as '95 year land -use classification. The accuracy and the issue of modeling improvement were discussed eventually.

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Development of Stochastic Downscaling Method for Rainfall Data Using GCM (GCM Ensemble을 활용한 추계학적 강우자료 상세화 기법 개발)

  • Kim, Tae-Jeong;Kwon, Hyun-Han;Lee, Dong-Ryul;Yoon, Sun-Kwon
    • Journal of Korea Water Resources Association
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    • v.47 no.9
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    • pp.825-838
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    • 2014
  • The stationary Markov chain model has been widely used as a daily rainfall simulation model. A main assumption of the stationary Markov model is that statistical characteristics do not change over time and do not have any trends. In other words, the stationary Markov chain model for daily rainfall simulation essentially can not incorporate any changes in mean or variance into the model. Here we develop a Non-stationary hidden Markov chain model (NHMM) based stochastic downscaling scheme for simulating the daily rainfall sequences, using general circulation models (GCMs) as inputs. It has been acknowledged that GCMs perform well with respect to annual and seasonal variation at large spatial scale and they stand as one of the primary sources for obtaining forecasts. The proposed model is applied to daily rainfall series at three stations in Nakdong watershed. The model showed a better performance in reproducing most of the statistics associated with daily and seasonal rainfall. In particular, the proposed model provided a significant improvement in reproducing the extremes. It was confirmed that the proposed model could be used as a downscaling model for the purpose of generating plausible daily rainfall scenarios if elaborate GCM forecasts can used as a predictor. Also, the proposed NHMM model can be applied to climate change studies if GCM based climate change scenarios are used as inputs.

Estimation of Markov Chain and Gamma Distribution Parameters for Generation of Daily Precipitation Data from Monthly Data (월 자료로부터 일 강수자료 생성을 위한 Markov 연쇄 및 감마분포 모수 추정)

  • Moon, Kyung Hwan;Song, Eun Young;Son, In Chang;Wi, Seung Hwan;Oh, Soonja;Hyun, Hae Nam
    • Korean Journal of Agricultural and Forest Meteorology
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    • v.19 no.1
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    • pp.27-35
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    • 2017
  • This research was to elucidate the generation method of daily precipitation data from monthly data. We applied a combined method of Markov chain and gamma distribution function using 4 specific parameters of ${\alpha}$, ${\beta}$, p(W/W) and p(W/D) for generation of daily rainfall data using daily precipitation data for the past 30 years which were collected from the country's 23 meteorological offices. Four parameters, applied to use for the combination method, were calculated by maximum likelihood method in location of 23 sites. There are high correlations of 0.99, 0.98 and 0.98 in rainfall days, rainfall probability and mean amount of daily rainfall between measured and simulated data in case of those parameters. In case of using parameters estimated from monthly precipitation, correlation coefficients in rainfall days, rainfall probability and mean amount of daily rainfall are 0.84, 0.83 and 0.96, respectively. We concluded that a combination method with parameter estimation from monthly precipitation data can be applied, in practical purpose such as assessment of climate change in agriculture and water resources, to get daily precipitation data in Korea.

A Study on The Change of Occurrence Characteristics of Daily Seoul Rainfall using Markov Chain (마코브 연쇄를 이용한 서울지점 일강우의 발생특성 변화 연구)

  • Hwang, Seok-Hwan;Kim, Joong-Hoon;Yoo, Chul-Sang;Jung, Sung-Won;Joo, Jin-Gul
    • Proceedings of the Korea Water Resources Association Conference
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    • 2009.05a
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    • pp.1202-1206
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    • 2009
  • 본 논문에서는 세계 최장의 기록을 보유하고 있는 서울지점의 강우량 자료를 이용하여 강우 발생특성의 장기 변동성을 분석하였다. 우선 마코브 연쇄에 근거한 전이확률 및 발생특성을 분석하여 측우기 자료의 정확성을 강우의 발생확률적 측면에서 평가하였다. 전이확률 및 발생특성 분석결과 원자료 계열의 CWK와 MRG는 발생특성이 다르게 나타났다. 강우사상의 특성은 과거에 비해 강우사상의 발생빈도가 높아지고 있으며 각 강우사상의 지속기간은 짧아지고 있는 것으로 나타났다. 이러한 결과를 최근 강우량의 증가양상과 더불어 고려하면 강우사상의 빈도와 심도(강우강도)가 증가하는 추세라고 해석할 수 있다.

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