隨機環境下兩性族群繁衍過程之滅種機率分析

標題:	隨機環境下兩性族群繁衍過程之滅種機率分析 The extinction probability of two-sex branching processes with offspring and mating in a random environment
作者:	宋瀚宇 Sung, Han-Yu 彭南夫 Peng, Nan-Fu 統計學研究所
關鍵字:	隨機環境;兩性族群繁衍;滅種機率;Random environment process;two-sex branching process;extinction probability
公開日期:	2010
摘要:	我們將介紹一個離散時間下的兩性族群繁衍過程，此兩性族群繁衍過程是在隨機環境過程中進行。而隨機環境過程中的環境變數彼此獨立且不一定具有相同分配。利用推導兩性族群繁衍過程的極限機率，找出經過無窮世代交替後極限機率與滅種機率的關係。最後利用模擬實驗估計滅種機率，找出各參數和滅種機率的關係 We introduce a model of discrete-time two-sex branching processes with offspring and mating in a random environment. The environmental process develops from independent but not necessarily identically distributed random vector. The limiting probability of two-sex branching processes is derived. We determine some relationships among the limiting probability and extinction probability. The simulated examples are given as the estimations of extinction probability.
URI:	http://140.113.39.130/cdrfb3/record/nctu/#GT079826519 http://hdl.handle.net/11536/47683
顯示於類別：	畢業論文

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