| Session: | 1.1.6 - Entropy |
| Session Time: | Monday, July 10, 09:40 - 11:00 |
| Paper Time: | Monday, July 10, 10:00 - 10:20 |
| Title: |
Analyticity of Entropy Rate in Families of Hidden Markov Chains (II) |
| Authors: |
Guangyue Han; University of British Columbia | | |
| | Brian Marcus; University of British Columbia | | |
| Abstract: |
We give relaxed sufficient conditions (compared to [2]) for analyticity of the entropy rate of a hidden Markov chain. Several special cases of the relaxed conditions are discussed. A general principle to calculate the domain of analyticity is stated. An example is given to estimate the radius of convergence for the entropy rate. Finally, we prove a ``stabilizing'' property of ``Black Hole'' case, which suggests that one can explicitly compute the derivatives and obtain an explicit Taylor series in certain cases, generalizing the results in [13], [12]. |
