三叉树上分支马氏链的等价性质  

Equivalent Properties of Bifurcating Markov Chains Indexed by a Trigeminal Indexed Tree

作　　者：刘宝慧[1] LIU Bao-hui(School of Finance and Econmics, Qinghai University, Xining 810016, China)

机构地区：[1]青海大学财经学院,青海西宁810016

出　　处：《数学的实践与认识》2016年第21期262-267,共6页Mathematics in Practice and Theory

基　　金：青海大学中青年科研基金项目(2014-QSY-1);国家社会科学基金(14XJY003)

摘　　要：在二叉树上分支马氏链的等价性质研究的基础上,给出了三叉树上分支马氏链定义的离散形式,除了把二叉树上分支马氏链的两个等价性质平移到三叉树上分支马氏链以外,又给出了三叉树上分支马氏链的两个等价性质及两个性质.得出结论的关键方法是在概率乘积公式及条件概率公式的计算中正确处理其中所涉及到的许多繁杂的必然事件.Based on the binary tree branches on the basis of the study of the equivalent properties of Markov chains,gives the trigeminal tree branch of the definition of Markov chains in discrete form,in addition to the binary tree branch two equivalent properties of Maxkov chains in translation to the trigeminal tree branch Markov chains and gives the trigeminal tree branch two equivalent properties of Markov chains and the nature of the two.Conclusion is the key way to product formula in probability and conditional probability formuia of calculation of correct treatment which involved many complex events inevitably.

关 键 词：三叉树 分支马氏链 树指标马氏链 

分 类 号：O211.62[理学—概率论与数理统计]