• 제목/요약/키워드: Poisson Distribution

검색결과 586건 처리시간 0.025초

고강도매질 CR 영상의 잡음 모델링 (Noise Modeling for CR Images of High-strength Materials)

  • 황중원;황재호
    • 대한전자공학회논문지SP
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    • 제45권5호
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    • pp.95-102
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    • 2008
  • 이 논문은 고강도매질 CR(Computed Radiography) 영상의 잡음을 모델링하는 적절한 접근법을 제시한다. 잡음 유형의 통계적이고 비선형적 특성이 구체적으로 고안되었다. CR영상은 컴퓨터 처리에 의해 코드화되기 이전 이미 훼손된다. 다양한 형태의 잡음은 비록 디지털화된 상태로 검출된다 하더라도 통상 방사선 영상을 오염시킨다. 양자 방출시의 포아송 분포는 CR 영상판에서의 광자 분포에서 포아송 잡음 분포를 항상 유지하지 않는다. 그 통계적 특성은 재질 특성에 의해 상대적이며 경우의존적이다. 통계적 잡음모델링 과정에서 통상적인 포아송, 이항 내지는 가우스 통계분포의 가정이 고려되었으며 아울러 비선형 효과 또한 포함시켰다. 이는 잡음 영역의 고저 전 방사선량에 걸쳐 추정하는 해석적 모델을 구현한다. 그리고 이 분석적 접근은 고강도 강판튜브 스텝웨지의 방사선측정실험을 통해 관측한 CR 영상데이터에서 구현되었다. 그 결과는 매질의 두께변화에 따른 잡음의 일관성, 잡음분포특성, SNR 및 비선형 보간을 측정하는 상호비교의 파라미터연구에 유용하다.

레이저 문턱전류 전 후에서 광자계수의 통계변화 (Photo-count Statistics of laser operating above and below threshold)

  • 장현주;황인각;이용희
    • 한국광학회:학술대회논문집
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    • 한국광학회 2005년도 제16회 정기총회 및 동계학술발표회
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    • pp.288-289
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    • 2005
  • To study the photon statistics, the total counts probability was measured for the two different optical source : below-threshold with Bose-Einstein distribution, and above-threshold laser with Poisson distribution.

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A BAYESIAN ANALYSIS FOR PRODUCT OF POWERS OF POISSON RATES

  • KIM HEA-JUNG
    • Journal of the Korean Statistical Society
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    • 제34권2호
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    • pp.85-98
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    • 2005
  • A Bayesian analysis for the product of different powers of k independent Poisson rates, written ${\theta}$, is developed. This is done by considering a prior for ${\theta}$ that satisfies the differential equation due to Tibshirani and induces a proper posterior distribution. The Gibbs sampling procedure utilizing the rejection method is suggested for the posterior inference of ${\theta}$. The procedure is straightforward to specify distributionally and to implement computationally, with output readily adapted for required inference summaries. A salient feature of the procedure is that it provides a unified method for inferencing ${\theta}$ with any type of powers, and hence it solves all the existing problems (in inferencing ${\theta}$) simultaneously in a completely satisfactory way, at least within the Bayesian framework. In two examples, practical applications of the procedure is described.

A Diffusion Model for a System Subject to Random Shocks

  • Lee, Eui-Yong;Song, Mun-Sup;Park, Byung-Gu
    • Journal of the Korean Statistical Society
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    • 제24권1호
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    • pp.141-147
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    • 1995
  • A diffusion model for a system subject to random shocks is introduced. It is assumed that the state of system is modeled by a Brownian motion with negative drift and an absorbing barrier at the origin. It is also assumed that the shocks coming to the system according to a Poisson process decrease the state of the system by a random amount. It is further assumed that a repairman arrives according to another Poisson process and repairs or replaces the system i the system, when he arrives, is in state zero. A forward differential equation is obtained for the distribution function of X(t), the state of the systme at time t, some boundary conditions are discussed, and several interesting characteristics are derived, such as the first passage time to state zero, F(0,t), the probability of the system being in state zero at time t, and F(0), the limit of F(0,t) as t tends to infinity.

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Compound Poisson 수요를 갖는 CONWIP 시스템의 근사적 분석 (Approximate Analysis of a CONWIP system with Compound Poisson Demands)

  • 이정은;이효성
    • 한국경영과학회지
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    • 제23권3호
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    • pp.153-168
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    • 1998
  • In this study we consider a CONWIP system in which the processing times at each station follow an exponential distribution and the demands for the finished Products arrive according to a compound Poisson process. The demands that are not satisfied instantaneously are assumed to be backordered. For this system we develop an approximation method to obtain the performance measures such as steady state probabilities of the number of parts at each station, the proportion of backordered demands, the average number of backordered demands and the mean waiting time of a backordered demand. For the analysis of the proposed CONWIP system, we model the CONWIP system as a closed queueing network with a synchronization station and analyze the closed queueing network using a product form approximation method. A matrix geometric method is used to solve the subnetwork in the application of the product-form approximation method. To test the accuracy of the approximation method, the results obtained from the approximation method were compared with those obtained by simulation. Comparisons with simulation have shown that the approximate method provides fairly good results.

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완제품에 대한 수요가 Compound Poisson 과정에 따라 발생하는 CONWIP System의 성능분석 (Performance Evaluation of a CONWIP System with Compound Poisson Demands)

  • 박찬우;신경화;이효성
    • 한국경영과학회:학술대회논문집
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    • 대한산업공학회/한국경영과학회 2002년도 춘계공동학술대회
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    • pp.845-850
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    • 2002
  • In this study we consider a flow-line CONWIP System with Compound Poisson Demands. The processing times of each workstation follow a Coxian-2 distribution. The demands that are not satisfied instantaneously are either backordered or lost according to the number of backordered demands that exist at their arrival instants. For this system we develop an approxi­mation method to obtain the performance measures such as steady state probabilities of the number of parts at each station, the average number of backordered demands and the proportion of the lost demands. Comparisons with simulation have shown that the approximate method provides fairly good results.

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스킨스쿠버 해양어촌관광의 경제적 가치 추정: 제주도를 대상으로 (Estimating the Economic Value of Skin Scuba Marine Tourism: Focused on Jeju Island)

  • 강석규
    • 수산경영론집
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    • 제47권1호
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    • pp.21-29
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    • 2016
  • The purpose of this study is to estimate the economic value of skin scuba marine tourism activity in Jeju Island. The economic value is estimated as consumer surplus using count data models including the truncated Poisson model and the truncated negative binominal distribution model. This study collects the effective 369 questionnaires from skin scuba marine tourists through three times in Jeju Island. The truncated Poisson model was statistically more suitable and valid than other models. The truncated Poisson model was applied to estimate consumer surplus as economic value from skin scuba in Jeju Island. A consumer surplus value per trip was estimated as about 4,081,633 won. The annual economic value from skin scuba marine tourism activity was estimated as 8,428,571 won in Jeju Island. Consequently, skin scuba marine tourism activity has a very large economic value in Jeju Island.

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
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    • 제23권4호
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    • pp.851-858
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    • 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.

포아송 확률 모형을 이용한 축구 경기 결과 예측 (Forecasting the Results of Soccer Matches Using Poisson Model)

  • 성현;장우진
    • 산업공학
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    • 제20권2호
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    • pp.133-141
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    • 2007
  • As the sales of the Sports Toto, the Korean lottery on sports games, have increased significantly in recent five years, interest in predicting the various results of sports matches has also been raised. Dixon and Coles (1997) proposed a bivariate Poisson model to predict the results of English soccer league matches. In this paper, we pay attention to the physical condition of players that may affect soccer match results and revise Dixon and Coles' model to consider probable fatigue due to the players' short rest followed by their frequent matches. We observed the fatigue effect in the match results, and found positive betting returns available when using our prediction model. Furthermore, the validity of probability-based odds in European and Korean betting markets is analyzed.

지진발생빈도-크기 분석을 위한 Poisson-Pareto 분포 모형과 연계한 지진해일 위험도 평가 기법 개발 (A Development of Tsunami Risk Assessment Model Using a Poisson-Pareto Distribution for Earthquake Frequency and Magnitude)

  • 김관혁;권현한
    • 한국수자원학회:학술대회논문집
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    • 한국수자원학회 2017년도 학술발표회
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    • pp.330-330
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    • 2017
  • 최근 우리나라 주변에 잦은 지진으로 인한 재해위험도 증가 우려가 커지고 있다. 국내 외에서 지진해일 위험도 평가는 시나리오를 기준으로 수치해석을 수행하고 이들 결과를 활용하는 절차로 수행된다. 그러나 위험도 평가는 하중조건 즉, 지진해일을 발생시키는 지진의 발생빈도 및 크기를 종합적으로 고려한 확률 계산이 우선적으로 요구되나, 기존 분석 절차에서는 고려가 되지 않거나 상대적으로 간략화 되어 진행되고 있다. 이러한 점에서 본 연구에서는 과거 우리나라 주변에 지진 및 지진해일 자료, 수치해석 모형 결과를 활용하여, 지진의 규모와 발생빈도를 종합적으로 고려할 수 있는 지진해일 위험도 평가 방법을 수립하고자 한다. 본 연구에서는 첫째, 지진 위험도 평가를 위해서 Poisson-Pareto 분포를 이용하였다. 둘째, 지진발생 위치 및 크기를 고려한 지진해일 위험도 평가 모형을 개발하였다. 셋째, 지진발생 위험도 및 지진해일 위험도를 통합한 해석 모형을 개발하고자 하며, 본 연구애서 제시하는 모든 해석 절차는 매개변수의 불확실성을 고려할 수 있도록 Bayesian 해석기법을 도입하여 진행하였다.

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