Title :
The Asymptotic Equipartition Property for Homogeneous Markov Chains Indexed by Trees
Author_Institution :
Dept. of Math., Chaohu Univ., Chaohu, China
Abstract :
In this paper, the tree model is different from the known models. We prove the strong law of large numbers and the asymptotic equipartition property (AEP) for finite homogeneous Markov chains indexed by this tree. The results generalize some known results.
Keywords :
Markov processes; trees (mathematics); asymptotic equipartition property; finite homogeneous Markov chains; tree model; Convergence; Entropy; Markov processes; Mathematical model; Random variables; AEP; Markov chain; strong law of large numbers; tree;
Conference_Titel :
Business Computing and Global Informatization (BCGIN), 2011 International Conference on
Conference_Location :
Shanghai
Print_ISBN :
978-1-4577-0788-9
Electronic_ISBN :
978-0-7695-4464-9
DOI :
10.1109/BCGIn.2011.96
