Bibliographic Details
| Title: |
The Asymptotic Equipartition Property for Nonhomogeneous Markov Chains Indexed by a Homogeneous Tree. |
| Authors: |
Weiguo Yang, Zhongxing Ye |
| Superior Title: |
IEEE Transactions on Information Theory; Sep2007, Vol. 53 Issue 9, p3275-3280, 6p |
| Subject Terms: |
MARKOV processes, STOCHASTIC processes, MARKOV operators, LIMIT theorems, PROBABILITY theory, STOCHASTIC convergence |
| Abstract: |
In this correspondence, we first establish a strong limit theorem for countable nonhomogeneous Markov chains indexed by a homogeneous tree. As corollaries, we obtain some strong limit theorems for frequencies of occurrence of states and ordered couple of states for this Markov chains. Finally, we prove the strong law of large numbers and the asymptotic equipartition property (AEP) for finite nonhomogeneous Markov chains indexed by a homogeneous tree. [ABSTRACT FROM AUTHOR] |
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| Database: |
Complementary Index |
