• 제목/요약/키워드: Poisson distribution

검색결과 585건 처리시간 0.025초

K-리그에서 축구 골의 분포 (Soccer goal distributions in K-league)

  • 이장택
    • Journal of the Korean Data and Information Science Society
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    • 제25권6호
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    • pp.1231-1239
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    • 2014
  • 본 연구에서는 1983년부터 2012년까지의 한국프로축구 K-리그 전 경기 결과를 이용하여 홈 경기와 원정 경기에서의 골의 분포를 분석하였다. 고려된 확률분포는 포아송분포, 음이항분포, 극단치분포 및 영과잉 포아송분포이며, 카이제곱분포를 이용한 적합도검정을 수행하였다. 그 결과 홈경기는 포아송분포, 원정경기는 영과잉 포아송분포가 골의 분포를 위한 최적 적합분포로 간주되며 홈경기와 원정경기 골의 수는 서로 약한 정도의 상관관계가 있는 것으로 나타났다.

Improved Estimation of Poisson Menas under Balanced Loss Function

  • Chung, Younshik
    • Communications for Statistical Applications and Methods
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    • 제7권3호
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    • pp.767-772
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    • 2000
  • Zellner(1994) introduced the notion of a balanced loss function in the context of a general liner model to reflect both goodness of fit and precision of estimation. We study the perspective of unifying a variety of results both frequentist and Bayesian from Poisson distributions. We show that frequentist and Bayesian results for balanced loss follow from and also imply related results for quadratic loss functions reflecting only precision of estimation. Several examples are given for Poisson distribution.

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Estimation in Mixture of Shifted Poisson Distributions with Known Shift Parameters

  • Lee, Hyun-Jung;Oh, Chang-Hyuck
    • Journal of the Korean Data and Information Science Society
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    • 제17권3호
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    • pp.785-794
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    • 2006
  • Suggested is an EM algorithm for estimation in mixture of shifted Poisson distributions with known shift parameters. For this type of mixture distribution, we have to utilize values of shift parameters to determine whether each of data belongs to some component distribution. We propose a method of estimating values of component information and then follow typical EM methodology. Simulation results show that the algorithm provides reasonable performance for the distribution.

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Two model comparisons of software reliability analysis for Burr type XII distribution

  • An, Jeong-Hyang
    • Journal of the Korean Data and Information Science Society
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    • 제23권4호
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    • pp.815-823
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    • 2012
  • In this paper reliability growth model in which the operating time between successive failure is a continuous random variable is proposed. This model is for Burr type XII distribution with two parameters which is discussed in two versions: the order statistics and non-homogeneous Poisson process. The two software reliability measures are obtained. The performance for two versions of the suggested model is tested on real data set by U-plot and Y-plot using Kolmogorov distance.

A Random Shock Model for a Linearly Deteriorating System

  • Lee, Ji-Yeon;Lee, Eui-Young
    • Journal of the Korean Statistical Society
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    • 제24권2호
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    • pp.471-479
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    • 1995
  • A random shock model for a linearly deteriorating system is introduced. The system deteriorating linearly with time is subject to random shocks which arrive according to a Poisson process and decrease the state of the system by a random amount. The system is repaired by a repairmen arriving according to another Poisson process if the state when he arrives is below a threshold. Explicit expressions are deduced for the characteristic function of the distribution function of X(t), the state of the system at time t, and for the distribution function of X(t) if X(t) is over the threshold. The stationary case is briefly discussed.

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Testing of Poisson Incidence Rate Restriction

  • Singh, Karan;Shanmugam, Ramalingam
    • International Journal of Reliability and Applications
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    • 제2권4호
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    • pp.263-268
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    • 2001
  • Shanmugam(1991) generalized the Poisson distribution to capture a restriction on the incidence rate $\theta$ (i.e. $\theta$$\beta$, an unknown upper limit), and named it incidence rate restricted Poisson (IRRP) distribution. Using Neyman's C($\alpha$) concept, Shanmugam then devised a hypothesis testing procedure for $\beta$ when $\theta$ remains unknown nuisance parameter. Shanmugam's C ($\alpha$) based .results involve inverse moments which are not easy tools, This article presents an alternate testing procedure based on likelihood ratio concept. It turns out that likelihood ratio test statistic offers more power than the C($\alpha$) test statistic. Numerical examples are included.

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비선형도핑분포를 이용한 DGMOSFET의 산화막두께에 대한 문턱전압이하 특성분석 (Analysis of Subthreshold Characteristics for DGMOSFET according to Oxide Thickness Using Nonuniform Doping Distribution)

  • 정학기
    • 한국정보통신학회논문지
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    • 제15권7호
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    • pp.1537-1542
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    • 2011
  • 본 연구에서는 이중게이트 MOSFET의 채널도핑이 비산형분포를 가질 때 게이트 산화막의 두께를 변화시키면서 문턱전압이하특성을 분석하였다. 이중게이트 MOSFET는 차세대 나노소자로서 단채널효과를 감소시킬 수 있다는 장점 때문에 많은 연구가 진행 중에 있다. 이에 이중게이트 MOSFET에서 단채널효과로서 잘 알여진 문턱전압 이하 스윙의 저하에 대하여 비선형도핑분포를 이용한 포아송방정식의 분석학적 모델로 분석하고자 한다. 또한 나노소자인 이중게이트 MOSFET의 구조적 파라미터 중 가장 중요한 게이트 산화막의 두께에 대하여 문턱전압이하 특성을 분석하였다. 본 논문에서 사용한 분석학적 포아송방정식의 포텐셜모델 및 전송모델의 타당성을 입증하기 위하여 수치해석학적 결과값과 비교하였으며 이 모델을 이용하여 이중게이트 MOSFET의 문턱전압이하 스윙을 분석하였다.

Prediction of Poisson's ratio degradation in hygrothermal aged and cracked [θm/90n]s composite laminates

  • Khodjet-Kesb, M.;Adda bedia, E.A.;Benkhedda, A.;Boukert, B.
    • Steel and Composite Structures
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    • 제21권1호
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    • pp.57-72
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    • 2016
  • The Poisson ratio reduction of symmetric hygrothermal aged $[{\theta}_m/90_n]_s$ composite laminates containing a transverse cracking in mid-layer is predicted by using a modified shear-lag model. Good agreement is obtained by comparing the prediction models and experimental data published by Joffe et al. (2001). The material properties of the composite are affected by the variation of temperature and transient moisture concentration distribution in desorption case, and are based on a micro-mechanical model of laminates. The transient and non-uniform moisture concentration distribution give rise to the transient Poisson ratio reduction. The obtained results represent well the dependence of the Poisson ratio degradation on the cracks density, fibre orientation angle of the outer layers and transient environmental conditions. Through the presented study, we hope to contribute to the understanding of the hygrothermal behaviour of cracked composite laminate.

Poisson's Ratio Scanning Using Immersion Ultrasonic Testing

  • Oh, Seo-Young;Kim, Young-H.;Shin, Yo-Sub;Cho, Hyun-Joon
    • 비파괴검사학회지
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    • 제28권6호
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    • pp.519-523
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    • 2008
  • Poisson's ratio is one of elastic constants of elastic solids. However, it has not attracted attention due to its narrow range and difficult measurement. Transverse wave velocity as well as longitudinal wave velocity should be measured for nondestructive measurement of Poisson's ratio. Hard couplant for transverse wave prevents transducer from scanning over specimen. In the present work, a novel measurement of Poisson's ratio distribution was proposed. Immersion method was employed for the scanning over the specimen. Echo signals of normal beam longitudinal wave were collected. Transverse wave modes generated by mode conversion were identified. From transit time of longitudinal and transverse waves, Poisson's ratio can be determined without information of specimen thickness. This technique was demonstrated for aluminum and steel specimens.