期刊论文详细信息
International Journal of Mathematics and Mathematical Sciences | |
On the asymptotic events of a Markov chain | |
HarryCohn1  | |
[1] Department of Statistics, University of Melbourne, Parkville 3052, Victoria, Australia; | |
关键词: tail σ; -field; invariant σ; -field; atomic set; completely nonatomic set; harmonic function; space-time harmonic function; martingale; Martin boundary; Chacon-Ornstein ergodic theorem; 0−; 2 Laws.; | |
DOI : 10.1155/S0161171279000430 | |
来源: DOAJ |
【 摘 要 】
In this paper we investigate some structure properties of the tail σ-field and the invariant σ-field of both homogeneous and nonhomogeneous Markov chains as representations for asymptotic events, descriptions of completely nonatomic and atomic sets and global characterizations of asymptotic σ-fields. It is shown that the Martin boundary theory can provide a unified approach to the asymptotic σ-fields theory.
【 授权许可】
Unknown