• 제목/요약/키워드: Bayesian

검색결과 2,713건 처리시간 0.029초

A hierarchical Bayesian model for spatial scaling method: Application to streamflow in the Great Lakes basin

  • Ahn, Kuk-Hyun
    • 한국수자원학회:학술대회논문집
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    • 한국수자원학회 2018년도 학술발표회
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    • pp.176-176
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    • 2018
  • This study presents a regional, probabilistic framework for estimating streamflow via spatial scaling in the Great Lakes basin, which is the largest lake system in the world. The framework follows a two-fold strategy including (1) a quadratic-programming based optimization model a priori to explore the model structure, and (2) a time-varying hierarchical Bayesian model based on insights found in the optimization model. The proposed model is developed to explore three innovations in hierarchical modeling for reconstructing historical streamflow at ungaged sites: (1) information of physical characteristics is utilized in spatial scaling, (2) a time-varying approach is introduced based on climate information, and (3) heteroscedasticity in residual errors is considered to improve streamflow predictive distributions. The proposed model is developed and calibrated in a hierarchical Bayesian framework to pool regional information across sites and enhance regionalization skill. The model is validated in a cross-validation framework along with four simpler nested formulations and the optimization model to confirm specific hypotheses embedded in the full model structure. The nested models assume a similar hierarchical Bayesian structure to our proposed model with their own set of simplifications and omissions. Results suggest that each of three innovations improve historical out-of-sample streamflow reconstructions although these improvements vary corrsponding to each innovation. Finally, we conclude with a discussion of possible model improvements considered by additional model structure and covariates.

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서해 어획대상 잠재생산량 추정을 위한 자원평가모델의 비교 분석 (Comparative analysis of stock assessment models for analyzing potential yield of fishery resources in the West Sea, Korea)

  • 최민제;김도훈;최지훈
    • 수산해양기술연구
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    • 제55권3호
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    • pp.206-216
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    • 2019
  • This study is aimed to compare stock assessment models depending on how the models fit to observed data. Process-error model, Observation-error model, and Bayesian state-space model for the Korean Western coast fisheries were applied for comparison. Analytical results show that there is the least error between the estimated CPUE and the observed CPUE with the Bayesian state-space model; consequently, results of the Bayesian state-space model are the most reliable. According to the Bayesian State-space model, potential yield of fishery resources in the West Sea of Korea is estimated to be 231,949 tons per year. However, the results show that the fishery resources of West Sea have been decreasing since 1967. In addition, the amounts of stock in 2013 are assessed to be only 36% of the stock biomass at MSY level. Therefore, policy efforts are needed to recover the fishery resources of West Sea of Korea.

Bayesian in-situ parameter estimation of metallic plates using piezoelectric transducers

  • Asadi, Sina;Shamshirsaz, Mahnaz;Vaghasloo, Younes A.
    • Smart Structures and Systems
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    • 제26권6호
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    • pp.735-751
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    • 2020
  • Identification of structure parameters is crucial in Structural Health Monitoring (SHM) context for activities such as model validation, damage assessment and signal processing of structure response. In this paper, guided waves generated by piezoelectric transducers are used for in-situ and non-destructive structural parameter estimation based on Bayesian approach. As Bayesian approach needs iterative process, which is computationally expensive, this paper proposes a method in which an analytical model is selected and developed in order to decrease computational time and complexity of modeling. An experimental set-up is implemented to estimate three target elastic and geometrical parameters: Young's modulus, Poisson ratio and thickness of aluminum and steel plates. Experimental and simulated data are combined in a Bayesian framework for parameter identification. A significant accuracy is achieved regarding estimation of target parameters with maximum error of 8, 11 and 17 percent respectively. Moreover, the limitation of analytical model concerning boundary reflections is addressed and managed experimentally. Pulse excitation is selected as it can excite the structure in a wide frequency range contrary to conventional tone burst excitation. The results show that the proposed non-destructive method can be used in service for estimation of material and geometrical properties of structure in industrial applications.

Inter-Factor Determinants of Return Reversal Effect with Dynamic Bayesian Network Analysis: Empirical Evidence from Pakistan

  • HAQUE, Abdul;RAO, Marriam;QAMAR, Muhammad Ali Jibran
    • The Journal of Asian Finance, Economics and Business
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    • 제9권3호
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    • pp.203-215
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    • 2022
  • Bayesian Networks are multivariate probabilistic factor graphs that are used to assess underlying factor relationships. From January 2005 to December 2018, the study examines how Dynamic Bayesian Networks can be utilized to estimate portfolio risk and return as well as determine inter-factor relationships among reversal profit-generating components in Pakistan's emerging market (PSX). The goal of this article is to uncover the factors that cause reversal profits in the Pakistani stock market. In visual form, Bayesian networks can generate causal and inferential probabilistic relationships. Investors might update their stock return values in the network simultaneously with fresh market information, resulting in a dynamic shift in portfolio risk distribution across the networks. The findings show that investments in low net profit margin, low investment, and high volatility-based designed portfolios yield the biggest dynamical reversal profits. The main triggering aspects related to generation reversal profits in the Pakistan market, in the long run, are net profit margin, market risk premium, investment, size, and volatility factor. Investors should invest in and build portfolios with small companies that have a low price-to-earnings ratio, small earnings per share, and minimal volatility, according to the most likely explanation.

Bayesian 혼합분포를 활용한 최심신적설량 빈도분석 (Frequency Analysis of Snow depth Using Bayesian mixture distribution)

  • 김호준;오랑치맥 솜야;권현한
    • 한국수자원학회:학술대회논문집
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    • 한국수자원학회 2020년도 학술발표회
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    • pp.136-136
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    • 2020
  • 홍수와 가뭄은 우리나라에 대표적인 수재해로서 관련 연구도 활발히 진행되고 있다. 반면 겨울철에 발생하는 적설의 경우 발생빈도와 피해가 상대적으로 적었으며 관련 연구 또한 미비한 실정이다. 우리나라 일부 남부지방은 강우와 다르게 연중 눈이 내리지 않는 경우가 존재하며, 자료 중 '0'값을 가지게 된다. 이로 인해 최적분포형 선정 및 매개변수 추정에 어려움이 있으며, 특히 '0'값으로 인해 단일 확률분포를 이용한 빈도해석은 한계가 있다. 본 연구에서는 연중 눈이 내리지 않는 무적설량을 고려하기 위하여 두 가지 이상의 확률분포함수를 결합한 혼합분포함수를 개발하였다. Bayesian 기법을 이용하여 무강우의 기준이 되는 값(δ)을 매개변수로 고려하여 추정하였으며, 이에 따른 적설발생 평균확률(P을 Mixing Ratio로 고려하여 혼합분포함수를 제시하였다. 본 연구에서는 기상청 산하 관측소 중 20년 이상의 지점을 선정하여 최심신적설량을 활용하였으며, 빈도별 확률적설심을 산정하였다. 적합한 확률분포형 선정을 위해 먼저 Bayesian 기법으로 매개변수와 우도함수를 산정한 후 각 분포형의 BIC(bayesian information criterion)값을 비교하였다. 선정된 최적분포형에 대해 빈도분석을 실시하여 최심신적설량을 제시하였다. 추가적으로 무강우를 기존 기준인 '0'으로 고정하여 본 연구에서 제시한 결과 값과 비교하였다.

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A Hierarchical Bayesian Model for Survey Data with Nonresponse

  • Han, Geunshik
    • Journal of the Korean Statistical Society
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    • 제30권3호
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    • pp.435-451
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    • 2001
  • We describe a hierarchical bayesian model to analyze multinomial nonignorable nonresponse data. Using a Dirichlet and beta prior to model the cell probabilities, We develop a complete hierarchical bayesian analysis for multinomial proportions without making any algebraic approximation. Inference is sampling based and Markove chain Monte Carlo methods are used to perform the computations. We apply our method to the dta on body mass index(BMI) and show the model works reasonably well.

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Empirical Bayesian Multiple Comparisons with the Best

  • Kim, Woo-Chul;Hwang, Hyung-Tae
    • Journal of the Korean Statistical Society
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    • 제20권2호
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    • pp.108-117
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    • 1991
  • A parametric empirical Bayes procedure is proposed and studied to compare treatments simultaneously with the best. Minimum Bayes risk lower bounds are derived for an additive loss function, and their relationship with Bayesian simultaneous confidence lower bounds is given. For the proposed empirical Bayes procedure, the nominal confidence level both in Bayesian sense and in frequentist's sense is shown to be controlled asymptotically. For practical implementation, a measure of significance similar to f-value is suggested with an illustrative example.

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Locating Intersections for Autonomous Vehicles: A Bayesian Network Approach

  • Choi, Kyoung-Ho;Joo, Sung-Kwan;Cho, Seong-Ik;Park, Jong-Hyun
    • ETRI Journal
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    • 제29권2호
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    • pp.249-251
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    • 2007
  • A novel idea is presented to locate intersections in a video sequence captured from a moving vehicle. More specifically, we propose a Bayesian network approach to combine evidence extracted from a video sequence and evidence from a database, maximizing evidence from various sensors in a systematic manner and locating intersections robustly.

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Analysis of Structural Reliability under Model and Statistical Uncertainties: a Bayesian Approach

  • Kiureghian, Armen-Der
    • Computational Structural Engineering : An International Journal
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    • 제1권2호
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    • pp.81-87
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    • 2001
  • A framework for reliability analysis of structural components and systems under conditions of statistical and model uncertainty is presented. The Bayesian parameter estimation method is used to derive the posterior distribution of model parameters reflecting epistemic uncertainties. Point, predictive and bound estimates of reliability accounting for parameter uncertainties are derived. The bounds estimates explicitly reflect the effect of epistemic uncertainties on the reliability measure. These developments are enhance-ments of second-moment uncertainty analysis methods developed by A. H-S. Ang and others three decades ago.

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Gibbs Sampling for Double Seasonal Autoregressive Models

  • Amin, Ayman A.;Ismail, Mohamed A.
    • Communications for Statistical Applications and Methods
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    • 제22권6호
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    • pp.557-573
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    • 2015
  • In this paper we develop a Bayesian inference for a multiplicative double seasonal autoregressive (DSAR) model by implementing a fast, easy and accurate Gibbs sampling algorithm. We apply the Gibbs sampling to approximate empirically the marginal posterior distributions after showing that the conditional posterior distribution of the model parameters and the variance are multivariate normal and inverse gamma, respectively. The proposed Bayesian methodology is illustrated using simulated examples and real-world time series data.