branching random walk 中文意思是什麼
branching random walk
解釋
分支隨機遊走-
In order to meet the needs of recent research in applied probability, such as finance and insurance, risk theory, random walk theory, queueing theory and branching processes and so on, the concepts of heavy - tailed random variables ( or heavy - tailed distributions ) are introduced. they are one of the important objects many scholars are concerned on. on the other hand, in a risk process, the number of these heavy - tailed variables " occurrence until the time t, i. e. all kinds of counting process, is one of the important objects, which many scholars are studying
在應用概率的許多領域，如金融保險、風險理論、隨機游動理論、排隊論、分支過程等，重尾隨機變量或重尾分佈都是重要的對象之一，另一方面，在一個風險過程中，到t時刻時，這些重尾變量出現的個數，即各種記數過程，也是人們研究的主要對象之一，本文主要對重尾分佈的控制關系與極值過程的跳時點過程的精緻漸近性進行深入的討論。 -
Single side birth death chain of order 2 in random environment is the extension of random walk in random environment, this paper discusses the recurrence, positive recurrence and null recurrence of single side birth - death chain of order 2 in fixed environment and random environment respectively based on the relation between birth death chain of order 2 and branching chain in time environment, and gives some sufficient and necessary conditions and sufficient conditions
摘要隨機環境中單邊二重生滅鏈是隨機環境中單邊隨機游動的推廣，本文利用單邊二重生滅鏈與依時分枝鏈的關系，分別給出了固定環境及隨機環境中二重生滅鏈的常返，正常返和零常返的幾個充要及充分條件，隨機環境中的單邊隨機游動的常返性的相應結果可以作為本文的推論。
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