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Conference Paper: Analyticity of entropy rate in families of hidden Markov chains (II)

TitleAnalyticity of entropy rate in families of hidden Markov chains (II)
Authors
Issue Date2006
Citation
Ieee International Symposium On Information Theory - Proceedings, 2006, p. 103-107 How to Cite?
AbstractWe 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 Identifierhttp://hdl.handle.net/10722/158865
References

 

DC FieldValueLanguage
dc.contributor.authorHan, Gen_US
dc.contributor.authorMarcus, Ben_US
dc.date.accessioned2012-08-08T09:03:59Z-
dc.date.available2012-08-08T09:03:59Z-
dc.date.issued2006en_US
dc.identifier.citationIeee International Symposium On Information Theory - Proceedings, 2006, p. 103-107en_US
dc.identifier.urihttp://hdl.handle.net/10722/158865-
dc.description.abstractWe 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.languageengen_US
dc.relation.ispartofIEEE International Symposium on Information Theory - Proceedingsen_US
dc.titleAnalyticity of entropy rate in families of hidden Markov chains (II)en_US
dc.typeConference_Paperen_US
dc.identifier.emailHan, G:ghan@hku.hken_US
dc.identifier.authorityHan, G=rp00702en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.doi10.1109/ISIT.2006.261683en_US
dc.identifier.scopuseid_2-s2.0-39049095208en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-39049095208&selection=ref&src=s&origin=recordpageen_US
dc.identifier.spage103en_US
dc.identifier.epage107en_US
dc.identifier.scopusauthoridHan, G=8640067800en_US
dc.identifier.scopusauthoridMarcus, B=7102086378en_US

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