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- Publisher Website: 10.1109/ISIT.2006.261683
- Scopus: eid_2-s2.0-39049095208
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Conference Paper: Analyticity of entropy rate in families of hidden Markov chains (II)
Title | Analyticity of entropy rate in families of hidden Markov chains (II) |
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Authors | |
Issue Date | 2006 |
Citation | Ieee International Symposium On Information Theory - Proceedings, 2006, p. 103-107 How to Cite? |
Abstract | We give relaxed sufficient conditions (compared to [2]) for analyticky 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]. © 2006 IEEE. |
Persistent Identifier | http://hdl.handle.net/10722/158865 |
References |
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Han, G | en_US |
dc.contributor.author | Marcus, B | en_US |
dc.date.accessioned | 2012-08-08T09:03:59Z | - |
dc.date.available | 2012-08-08T09:03:59Z | - |
dc.date.issued | 2006 | en_US |
dc.identifier.citation | Ieee International Symposium On Information Theory - Proceedings, 2006, p. 103-107 | en_US |
dc.identifier.uri | http://hdl.handle.net/10722/158865 | - |
dc.description.abstract | We give relaxed sufficient conditions (compared to [2]) for analyticky 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]. © 2006 IEEE. | en_US |
dc.language | eng | en_US |
dc.relation.ispartof | IEEE International Symposium on Information Theory - Proceedings | en_US |
dc.title | Analyticity of entropy rate in families of hidden Markov chains (II) | en_US |
dc.type | Conference_Paper | en_US |
dc.identifier.email | Han, G:ghan@hku.hk | en_US |
dc.identifier.authority | Han, G=rp00702 | en_US |
dc.description.nature | link_to_subscribed_fulltext | en_US |
dc.identifier.doi | 10.1109/ISIT.2006.261683 | en_US |
dc.identifier.scopus | eid_2-s2.0-39049095208 | en_US |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-39049095208&selection=ref&src=s&origin=recordpage | en_US |
dc.identifier.spage | 103 | en_US |
dc.identifier.epage | 107 | en_US |
dc.identifier.scopusauthorid | Han, G=8640067800 | en_US |
dc.identifier.scopusauthorid | Marcus, B=7102086378 | en_US |