• 제목/요약/키워드: Prior Probability

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The Optimal Limit of the Number of Consecutive Minimal Repairs

  • Jongho Bae;Lee, Eui-Yong
    • Proceedings of the Korean Reliability Society Conference
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    • 2000.04a
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    • pp.63-70
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    • 2000
  • Brown and Proschan(1983) introduced a model for imperfect repair. At each feilure of a device, with probability p, it is repaired completely or replaced with a new device(perfect repair), and with probability 1 - p, it is returned to the functioning state, but it is only recovered to its condition just prior to failure(imperfect repair or minimal repair). In this paper, we limit the number of consecutive minimal repairs by n. We find some useful properties about ${\mu}$$\_$k/, the expected time between the k-th and the (k + 1)-st repair under the assumption that only minimal repairs are performed. Then, we assign cost to each repair and find the value of n which minimizes the long-run average cost for a fixed p under the condition that distribution F of the device is DMRL.

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Integrated Safety Risk Assessment and Response Preparation on Construction Site Formwork Using FMECA Method (FMECA 기법을 적용한 건설현장 거푸집작업의 통합 안전위험성 평가 및 대응방안 마련)

  • An, Sun-Ju;Song, Sang-Hoon
    • Journal of the Korea Safety Management & Science
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    • v.14 no.3
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    • pp.39-48
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    • 2012
  • Risk Assessment to list possible safety disasters and their probability and severity is the starting point for effective safety management on construction project site. However, the safety managers in owners, construction supervisors, contractors, and sub-contractors still have difficulties in judging the priorities of safety activities and preparing responses to each potential safety disasters. Therefore, this study aimed to suggest a systematic method in assessing safety risk prior to commencement with the agreement of stakeholders. FMECA(failure mode effects and criticality analysis) was selected as a main assessment tool and it was modified according to the characteristics of construction projects and trades. Each risk is, firstly, evaluated with occurrence probability, possible loss and impacts to projects, and detections, and then risk priority number(RPN) is calculated. Subsequently, the managers of each stakeholder discuss the types, timing, and responsibilities of responses as a group decision-making process.

Finding the Information Source by Voronoi Inference in Networks (네트워크에서 퍼진 정보의 근원에 대한 Voronoi 추정방법)

  • Choi, Jaeyoung
    • Journal of Korea Multimedia Society
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    • v.22 no.6
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    • pp.684-694
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    • 2019
  • Information spread in networks is universal in many real-world phenomena such as propagation of infectious diseases, diffusion of a new technology, computer virus/spam infection in the internet, and tweeting and retweeting of popular topics. The problem of finding the information source is to pick out the true source if information spread. It is of practical importance because harmful diffusion can be mitigated or even blocked e.g., by vaccinating human or installing security updates. This problem has been much studied, where it has been shown that the detection probability cannot be beyond 31% even for regular trees if the number of infected nodes is sufficiently large. In this paper, we study the impact of an anti-information spreading on the original information source detection. We consider an active defender in the network who spreads the anti-information against to the original information simultaneously and propose an inverse Voronoi partition based inference approach, called Voronoi Inference to find the source. We perform various simulations for the proposed method and obtain the detection probability that outperforms to the existing prior work.

A Development on Reliability Data Integration Program (신뢰도 데이터 합성 program의 개발)

  • Rhie, Kwang-Won;Park, Moon-Hi;Oh, Shin-Kyu;Han, Jeong-Min
    • Journal of the Korean Society of Safety
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    • v.18 no.4
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    • pp.164-168
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    • 2003
  • Bayes theorem, suggested by the British Mathematician Bayes (18th century), enables the prior estimate of the probability of an event under the condition given by a specific This theorem has been frequently used to revise the failure probability of a component or system. 2-Stage Bayesian procedure was firstly published by Shultis et al. (1981) and Kaplan (1983), and was further developed based on the studies of Hora & Iman (1990) Papazpgolou et al., Porn(1993). For a small observed failure number (below 12), the estimated reliability of a system or component is not reliable. In the case in which the reliability data of the corresponding system or component can be found in a generic reliability reference book, however, a reliable estimation of the failure probability can be realized by using Bayes theorem, which jointly makes use of the observed data (specific data) and the data found in reference book (generic data).

Shadow Economy, Corruption and Economic Growth: An Analysis of BRICS Countries

  • NGUYEN, Diep Van;DUONG, My Tien Ha
    • The Journal of Asian Finance, Economics and Business
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    • v.8 no.4
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    • pp.665-672
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    • 2021
  • The paper examines the impact of shadow economy and corruption, along with public expenditure, trade openness, foreign direct investment (FDI), inflation, and tax revenue on the economic growth of the BRICS countries. Data were collected from the World Bank, Transparency International, and Heritage Foundation over the 1991-2017 period. The Bayesian linear regression method is used to examine whether shadow economy, corruption and other indicators affect the economic growth of countries studied. This paper applies the normal prior suggested by Lemoine (2019) while the posterior distribution is simulated using Monte Carlo Markov Chain (MCMC) technique through the Gibbs sampling algorithm. The results indicate that public expenditure and trade openness can enhance the BRICS countries' economic growth, with the positive impact probability of 75.69% and 67.11%, respectively. Also, FDI, inflation, and tax revenue positively affect this growth, though the probability of positive effect is ambiguous, ranging from 51.13% to 56.36%. Further, the research's major finding is that shadow economy and control of corruption have a positive effect on the economic growth of the BRICS countries. Nevertheless, the posterior probabilities of these two factors are 62.23% and 65.25%, respectively. This result suggests that their positive effect probability is not high.

Teaching the Concept of Chance prior to Probability in Elementary School Mathematics (확률 개념을 위한 '가능성'의 지도 - 2009 개정 교육과정에 따른 초등학교 확률지도 방안 탐색-)

  • Chang, Hyewon
    • School Mathematics
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    • v.15 no.2
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    • pp.315-335
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    • 2013
  • Probability has distinctive characteristics which are different from other areas of school mathematics. The critical change can be noticed in the domain, 'probability and statistics' of 2009 revised national curriculum for elementary school mathematics. This indicates that the concept of chance is supposed to be taught in the 5~6 grade band instead of the definition of probability which is moved to the middle school level. The purpose of this study is to seek desirable methods for teaching the concept of chance which reflect the achievement criteria and the attention point for teaching and learning of the curriculum at the point of time when textbooks haven't yet been developed. To do this, based on theoretical considerations and comparative analysis of the curricula in the longitudinal - latitudinal dimensions respectively, the validity of the latest curriculum change was confirmed and several learning activities were devised. And then two lessons were planned for applying these activities to eight fifth graders and were implemented along the plan. As a result, the relevance of the learning activities was examined and students' difficulties in learning the concept of chance with educational implications were discussed.

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Construction and Operation Characteristics of the Automated Lightning Warning System Based on Detections of Cloud-to-Ground Discharge and Atmospheric Electric Field (낙뢰와 대기전계의 탐지를 기반으로 하는 자동낙뢰경보시스템의 구성과 운용특성)

  • Shim, Hae-Sup;Lee, Bok-Hee
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.27 no.11
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    • pp.82-88
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    • 2013
  • It is important to give lightning warning prior to a cloud-to-ground (CG) discharge within an Area of Concern (AOC) because most of lightning damage and victim are usually occurred by the first lightning in the AOC. The aim of this study is to find the optimal operation conditions of the automated lightning warning systems in order to make the best use of the available data. In this paper, the test-operated results of the automated lightning alert and risk management system (ALARM) based on detections of CG discharge and eletrostatic field and optimized at probability of lightning have been described. It was possible to obtain the following warning performance parameters: probability of detection (POD), false alarm ratio (FAR), probability of lightning (POL) and failure-to-warn rate (FTW). The data obtained from trial operation for 5months were not sufficient but the first analysis of domestic lightning warning was carried out. We have observed that the evaluated statistical results through trial operation depend on the various factors such as analysis methods and criteria, topographical conditions, etc. Also we suggest some methods for improvement of POL and POD including the finding of the optimal electric field threshold level to be used, based on the high values of FAR and FTW found in this work.

A Bayes Rule for Determining the Number of Common Factors in Oblique Factor Model

  • Kim, Hea-Jung
    • Journal of the Korean Statistical Society
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    • v.29 no.1
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    • pp.95-108
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    • 2000
  • Consider the oblique factor model X=Af+$\varepsilon$, with defining relation $\Sigma$$\Phi$Λ'+Ψ. This paper is concerned with suggesting an optimal Bayes criterion for determining the number of factors in the model, i.e. dimension of the vector f. The use of marginal likelihood as a method for calculating posterior probability of each model with given dimension is developed under a generalized conjugate prior. Then based on an appropriate loss function, a Bayes rule is developed by use of the posterior probabilities. It is shown that the approach is straightforward to specify distributionally and to imploement computationally, with output readily adopted for constructing required cirterion.

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The Preventive Measures Against The North Korea's Hitec-based Weaponry for Terror in The World Cup 2002 (최첨단무기테러에 대응한 2002년 월드컵축구대회 안전대책)

  • Kim, Doo-Hyun
    • Korean Security Journal
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    • no.5
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    • pp.41-69
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    • 2002
  • This work analyze the hitec-based arms systems which might raise the tentions by terrorism. Apparently they are largely dependent on the biochemicals, electronics, laser, and cybernetics. Also they draw an attention to us of a probability of various threats from the terrorists, or ill intending regimes to deter the 2002's World Cup, under the heading of 'New Centennial, Meeting, and Start Movement.' What follows is that this research strongly proposes that we should take prior safety actions for hosting the successful World Cup Match in Korea-Japan as well as maintain the national security for peace.

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Bayesian Conjugate Analysis for Transition Probabilities of Non-Homogeneous Markov Chain: A Survey

  • Sung, Minje
    • Communications for Statistical Applications and Methods
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    • v.21 no.2
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    • pp.135-145
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    • 2014
  • The present study surveys Bayesian modeling structure for inferences about transition probabilities of Markov chain. The motivation of the study came from the data that shows transitional behaviors of emotionally disturbed children undergoing residential treatment program. Dirichlet distribution was used as prior for the multinomial distribution. The analysis with real data was implemented in WinBUGS programming environment. The performance of the model was compared to that of alternative approaches.