• Title/Summary/Keyword: Poisson

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Bayesian One-Sided Testing for the Ratio of Poisson Means

  • Kang, Sang-Gil;Kim, Dal-Ho;Lee, Woo-Dong
    • Journal of the Korean Data and Information Science Society
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    • v.17 no.2
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    • pp.619-631
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    • 2006
  • When X and Y have independent Poisson distributions, we develop a Bayesian one-sided testing procedures for the ratio of two Poisson means. We propose the objective Bayesian one-sided testing procedures for the ratio of two Poisson means based on the fractional Bayes factor and the intrinsic Bayes factor. Some real examples are provided.

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LIE BIALGEBRA ARISING FROM POISSON BIALGEBRA U(sp4)

  • Oh, Sei-Qwon;Hyun, Sun-Hwa
    • Journal of the Chungcheong Mathematical Society
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    • v.21 no.1
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    • pp.57-60
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    • 2008
  • Let $U(sp_4)$ be the universal enveloping algebra of the symplectic Lie algebra $sp_4$. Then the restricted dual $U(sp_4)^{\circ}$ becomes a Poisson Hopf algebra with the Sklyanin Poisson bracket determined by the standard classical r-matrix. Here we illustrate a method to obtain the Lie bialgebra from a Poisson bialgebra $U(sp_4)^{\circ}$.

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The Counting Processes that the Number of Events in [0,t] has Generalized Poisson Distribution

  • Park, Jeong-Hyun
    • Journal of the Korean Data and Information Science Society
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    • v.7 no.2
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    • pp.273-281
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    • 1996
  • It is derived that conditions of counting process ($\{N(t){\mid}t\;{\geq}\;0\}$) in which the number of events in time interval [0, t] has a (n, n+1)-generalized Poisson distribution with parameters (${\theta}t,\;{\lambda}$) and a generalized inflated Poisson distribution with parameters (${\{\lambda}t,\;{\omega}\}$.

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Bayesian One-Sided Testing for the Ratio of Poisson Means

  • Kang, Sang-Gil;Kim, Dal-Ho;Lee, Woo-Dong
    • 한국데이터정보과학회:학술대회논문집
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    • 2006.04a
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    • pp.295-306
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    • 2006
  • When X and Y have independent Poisson distributions, we develop a Bayesian one-sided testing procedures for the ratio of two Poisson means. We propose the objective Bayesian one-sided testing procedures for the ratio of two Poisson means based on the fractional Bayes factor and the intrinsic Bayes factor. Some real examples are provided.

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A FAST POISSON SOLVER ON DISKS

  • Lee, Dae-Shik
    • Journal of applied mathematics & informatics
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    • v.6 no.1
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    • pp.65-78
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    • 1999
  • We present a fast/parallel Poisson solver on disks, based on efficient evaluation of the exact solution given by the Newtonian potential and the Poisson integral. Derived from an integral formula-tion it is more accurate and simpler in parallel implementation and in upgrading to a higher order algorithm than an algorithm which solves the linear system obtained from a differential formulation.

HOPF STRUCTURE FOR POISSON ENVELOPING ALGEBRAS

  • Min, Kangju;Oh, Sei-Qwon
    • Journal of the Chungcheong Mathematical Society
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    • v.13 no.2
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    • pp.29-39
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    • 2001
  • For a Poisson Hopf algebra A, we find a natural Hopf structure in the Poisson enveloping algebra U(A) of A. As an application, we show that the Poisson enveloping algebra U(S(L)), where S(L) is the symmetric algebra of a Lie algebra L, has a Hopf structure such that a sub-Hopf algebra of U(S(L)) is Hopf-isomorphic to the universal enveloping algebra of L.

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On the Multivariate Poisson Distribution with Specific Covariance Matrix

  • Kim, Dae-Hak;Jeong, Heong-Chul;Jung, Byoung-Cheol
    • Journal of the Korean Data and Information Science Society
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    • v.17 no.1
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    • pp.161-171
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    • 2006
  • In this paper, we consider the random number generation method for multivariate Poisson distribution with specific covariance matrix. Random number generating method for the multivariate Poisson distribution is considered into two part, by first solving the linear equation to determine the univariate Poisson parameter, then convoluting independent univariate Poisson variates with appropriate expectations. We propose a numerical algorithm to solve the linear equation given the specific covariance matrix.

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Analysis of EFCI and ER Switches Algorithm for ABR Traffic, Using Self-similar pattern and Poisson pattern (Self-similar 패턴과 Poisson 패턴을 사용한 EFCI와 ER 스위치 알고리즘의 ABR 트래픽 분석)

  • 이동철;박기식;김탁근;손준영;김동일;최삼길
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2000.05a
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    • pp.296-300
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    • 2000
  • In previous papers, it proved relevant to using together with EFCI and ER switch for effective ABR traffic managements. It also applied to EFCI and ER switch algorithm, that consider ABR traffic as poisson pattern. However, in recently network environment, it has been proved about traffic pattern, that is similar to self-similar pattern than poisson pattern. In this paper, we will compare previous poisson pattern with self-similar pattern under ATM network.

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