瞬时对角型Q-矩阵的特征  

THE CHARACTERISTIC OF THE DIAGONAL Q-MATRIX WITH INSTANTANEOUS STATES

作　　者：刘再明[1] 陈安岳[2] 

机构地区：[1]长沙铁道学院 [2]北方交通大学

出　　处：《数学杂志》1990年第2期191-198,共8页Journal of Mathematics

摘　　要：本文给出了 Q=(q_(ij))(q_(ij)=0 i≠j;i,j=1,2,…)成为 Q-矩阵和诚实 Q-矩阵的充要条件。Let E denote a finite or denumerable set,a matrix Q=(q_(ij) i,j∈E)iscalled for a Q matrix if there is the standard and homogeneous Markovchain P(t)such that P′(0)=Q.Further,the Q=P′(0) is called for an honestQ-matrix if the P(t)is honest(namely,sum from j∈E p_(ij)(t)=1,(?)i∈E).This papergives the criteria that respectively determine the diagonal matrix Q=(q_(ij);i,j∈E)(q_(ij)=0,i≠j)to be Q matrix and to be honest Q-matrix.

关 键 词：马氏链 对角型Q矩阵 诚实Q矩阵 

分 类 号：O211.62[理学—概率论与数理统计]