纯粹数学与应用数学
純粹數學與應用數學
순수수학여응용수학
PURE AND APPLIED MATHEMATICS
2013年
5期
529-535
,共7页
党慧%杨卫国%高荣%石志岩
黨慧%楊衛國%高榮%石誌巖
당혜%양위국%고영%석지암
二叉树%分枝马氏链%强极限定理%强大数定理
二扠樹%分枝馬氏鏈%彊極限定理%彊大數定理
이차수%분지마씨련%강겁한정리%강대수정리
binary tree%bifurcating Markov chains%strong limit theorems%strong law of large numbers
首先给出了在可列状态空间取值的二叉树上分枝马氏链定义的离散形式,然后建立了二叉树上分枝马氏链的若干强极限定理,最后研究了二叉树上有限状态分枝马氏链的强大数定理。
首先給齣瞭在可列狀態空間取值的二扠樹上分枝馬氏鏈定義的離散形式,然後建立瞭二扠樹上分枝馬氏鏈的若榦彊極限定理,最後研究瞭二扠樹上有限狀態分枝馬氏鏈的彊大數定理。
수선급출료재가렬상태공간취치적이차수상분지마씨련정의적리산형식,연후건립료이차수상분지마씨련적약간강겁한정리,최후연구료이차수상유한상태분지마씨련적강대수정리。
In this paper, we first introduce the definition of the discrete form of bifurcating Markov chains indexed by a binary tree, then obtain some strong limit theorems for bifurcating Markov chains indexed by a binary tree, and finally, we obtain the strong law of large numbers for binary tree-indexed bifurcating Markov chains with finite state space.