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Ergodic theorems for sequences of infinite stochastic matrices
| Content Provider | Scilit |
|---|---|
| Author | Paz, A. Reichaw, M. |
| Copyright Year | 1967 |
| Description | In the theory of finite state, discrete time, non-homogeneous Markov chains, different notions of ergodicity have been introduced in the literature. These notions are concerned with the long-run behaviour of chains and with their tendency to get some stability properties after a sufficiently long period of time. The aim of this paper is the study of non-homogeneous Markov chains with a denumerable number of states. It will be shown that some theorems which are valid in the finite case are also valid for chains with a denumerable number of states as well. Moreover, a new notion of stability is introduced and it is shown to be satisfied for some chains. Although the paper is self-contained some familiarity with the theory of finite state non-homogeneous Markov chains is desired. Without any attempt of completeness we list for the interested reader the papers: (1–3, 8, 9). |
| Related Links | https://www.cambridge.org/core/services/aop-cambridge-core/content/view/D8583877E60AF8C68A7B4BFFD8CA613D/S0305004100041773a.pdf/div-class-title-ergodic-theorems-for-sequences-of-infinite-stochastic-matrices-div.pdf |
| Ending Page | 784 |
| Page Count | 8 |
| Starting Page | 777 |
| ISSN | 03050041 |
| e-ISSN | 14698064 |
| DOI | 10.1017/s0305004100041773 |
| Journal | Mathematical Proceedings of the Cambridge Philosophical Society |
| Issue Number | 3 |
| Volume Number | 63 |
| Language | English |
| Publisher | Cambridge University Press (CUP) |
| Publisher Date | 1967-07-01 |
| Access Restriction | Open |
| Subject Keyword | Mathematical Proceedings of the Cambridge Philosophical Society Applied Mathematics Finite State Homogeneous Markov Chains Denumerable Number |
| Content Type | Text |
| Resource Type | Article |
| Subject | Mathematics |
