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Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/157751

Title:	非對稱分支隨機漫步中局部族群分佈之探討 Local Populations in Asymmetric Branching Random Walks
Authors:	王柏崴 Wang, Po-Wei
Contributors:	洪芷漪 Hong, Jyy-I 王柏崴 Wang, Po-Wei
Keywords:	分支過程分支隨機漫步平賭 Galton-Watson Branching Process Branching Random Walk Martingale
Date:	2025
Issue Date:	2025-07-01 14:40:55 (UTC+8)
Abstract:	我們研究一種分支過程, 其中每個個體沿著實數線進行非對稱隨機漫步。在本篇論文中, 我們探討在每個局部位置的族群的一些性質, 包括其期望值、變異數及其他相關性質。我們同時也探討一些由這些在局部位置上的族群數目所衍生出的平賭過程。 We study a Galton-Watson branching process in which each individual follows an asymmetric random walk along the real line. In this thesis, we study the properties of the local population including the expectation, variance and other second-order properties and introduce some associated martingales.
Reference:	[1] Krishna B Athreya, Peter E Ney, and PE Ney. Branching processes. Courier Corporation, 2004. [2] Jui-Lin Chi and Jyy-I Hong. The range of asymmetric branching random walk. Statistics Probability Letters, 193:109705, 2023. [3] Peter L. Davies. The simple branching process: a note on convergence when the mean is infinite. Journal of Applied Probability, 15(3):466–480, 1978. [4] Karl Grill. The range of simple branching random walk. Statistics & probability letters, 26(3):213–218, 1996.
Description:	碩士國立政治大學應用數學系 111751009
Source URI:	http://thesis.lib.nccu.edu.tw/record/#G0111751009
Data Type:	thesis
Appears in Collections:	[應用數學系] 學位論文

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