From Discreteness to Continuity: Fisher-Wright Model and Inverse Gaussian Distribution

碩士 === 國立中正大學 === 物理學系暨研究所 === 103 === The dynamical system can be described in terms of discrete iteration relation or (partial) derivative equation. Fisher-Wright Model (FWM) a solution of a random process with times, and Inverse Gaussian distribution (IGD) a solution of a random process with time...

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Bibliographic Details
Main Authors: LIANG,XIANG-SI, 梁翔斯
Other Authors: PAN,WEI
Format: Others
Language:zh-TW
Published: 2015
Online Access:http://ndltd.ncl.edu.tw/handle/7m99g7
Description
Summary:碩士 === 國立中正大學 === 物理學系暨研究所 === 103 === The dynamical system can be described in terms of discrete iteration relation or (partial) derivative equation. Fisher-Wright Model (FWM) a solution of a random process with times, and Inverse Gaussian distribution (IGD) a solution of a random process with time. In this study, we bridge relation for these different systems. FWM is discrete and IGD is continuous. We directly connect two systems. We correlate the parameters of FWM and IGD by negative binomial, binomial, and Gaussian. This connection indicates that times described by FWM have the characters as the dynamical system described by IGD.