【摘要】 利用马氏链的有关理论,研究了双无限随机环境下π-不可约链的常返与瞬时判别准则,得到了π-不可约链常返的若干等价条件及强π-不可约链是常返的一个充分条件,随后讨论了π-不可约链的各类状态之间的关系。更多还原

【Abstract】 The recurrence-transience criteria aboutπ-irreducible Markov chains in doubly infinite random environments are discussed by using relevant theories of Markov chains. Some equivalence conditions forπ-irreducible Markov chains in doubly infinite random environments being recurrence are obtained, and get a sufficient condition which stronglyπ-irreducible Markov chains are recurrence. Moreover, we also discuss the relations among the states forπ-irreducible Markov chains in doubly infinite random environments.更多还原