Non-homogeneous Markov chains with a finite state space and a Doeblin type theorem
Doeblin [1] considered some classes of finite state nonhomogeneous Markov chains and studied their asymptotic behavior. Later Cohn [2] considered another class of such Markov chains (not covered earlier) and obtained Doeblin type results. Though this paper does not present the best possible results,...
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| Format: | Article |
| Language: | English |
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Wiley
1995-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171295000457 |
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| _version_ | 1832555035346599936 |
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| author | Rita Chattopadhyay |
| author_facet | Rita Chattopadhyay |
| author_sort | Rita Chattopadhyay |
| collection | DOAJ |
| description | Doeblin [1] considered some classes of finite state nonhomogeneous Markov chains
and studied their asymptotic behavior. Later Cohn [2] considered another class of such Markov
chains (not covered earlier) and obtained Doeblin type results. Though this paper does not
present the best possible results, the method of proof will be of interest to the reader. It is
elementary and based on Hajnal's results on products of nonnegative matrices. |
| format | Article |
| id | doaj-art-32df81b1834f4b32ab1d3e9e4b3a8df3 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1995-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-32df81b1834f4b32ab1d3e9e4b3a8df32025-02-03T05:49:42ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251995-01-0118236537010.1155/S0161171295000457Non-homogeneous Markov chains with a finite state space and a Doeblin type theoremRita Chattopadhyay0Department of Mathematics, Eastern Michigan University, Ypsilanti 48197, MI, USADoeblin [1] considered some classes of finite state nonhomogeneous Markov chains and studied their asymptotic behavior. Later Cohn [2] considered another class of such Markov chains (not covered earlier) and obtained Doeblin type results. Though this paper does not present the best possible results, the method of proof will be of interest to the reader. It is elementary and based on Hajnal's results on products of nonnegative matrices.http://dx.doi.org/10.1155/S0161171295000457stochastic matricesconvergencestate spaceclassesperiod. |
| spellingShingle | Rita Chattopadhyay Non-homogeneous Markov chains with a finite state space and a Doeblin type theorem International Journal of Mathematics and Mathematical Sciences stochastic matrices convergence state space classes period. |
| title | Non-homogeneous Markov chains with a finite state space and a Doeblin type theorem |
| title_full | Non-homogeneous Markov chains with a finite state space and a Doeblin type theorem |
| title_fullStr | Non-homogeneous Markov chains with a finite state space and a Doeblin type theorem |
| title_full_unstemmed | Non-homogeneous Markov chains with a finite state space and a Doeblin type theorem |
| title_short | Non-homogeneous Markov chains with a finite state space and a Doeblin type theorem |
| title_sort | non homogeneous markov chains with a finite state space and a doeblin type theorem |
| topic | stochastic matrices convergence state space classes period. |
| url | http://dx.doi.org/10.1155/S0161171295000457 |
| work_keys_str_mv | AT ritachattopadhyay nonhomogeneousmarkovchainswithafinitestatespaceandadoeblintypetheorem |