摘要
1、两个命题命题1.设有限状态马氐链的转移概率阵为(p_(ij))n×n,通过有限次交换不同的行和对应的列后变为(p_(i′j))n×n,若p′_(ii+1)>0,i=1,2,……,n-1;p_(n1)>0,则该马氏链为不可约的。证同时交换不同的行和列,只不过是将状态的记号作对应的改变,
A Simple method is given to Know Whether a finite Markov Chain is a irreducible one by one-step transition probability matrix. It has been proved that the blood(type genetic process is α irreducible ergodic Markov chain.)If p, q, r are three blood gene frequencies for blood gene O, A, B, then the mean recurrent time of blood type (OO, AA, BB, OA, OB, AB) is (1/p^2, 1/q^2, 1/r^2, 1/2pq, 1/2pr, 1/2qr). Simulating resulte by computer is the same as practice.
出处
《生物数学学报》
CSCD
北大核心
1990年第1期69-72,共4页
Journal of Biomathematics