A Consideration of Poisson-Like Probabilistic Phenomena by the Master Equation

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  • ポアソン分布からのずれをもつ確率現象のマスタ方程式による一考察
  • ポアソン ブンプ カラ ノ ズレ オ モツ カクリツ ゲンショウ ノ マスタ

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Abstract

An approximation method for cutting off a moment hierarchy in moment-calculations by the master equation is studied based on a Poisson distribution.<br>A condition of requiring a Poisson distribution is presented in terms of transition rates. This report proposes a simple model for transition rates that are quadratic in terms of a random variable and permit transitions only between each state (0, 1, 2, …) and the nearest. Using this model, the method is explained. The first two order moments are obtained for the steady state as time t tends to infinity. The approach is applied to the study of a traffic flow.

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