KFU. Card publication. Zipf exponent of trajectory distribution in the hidden Markov model

KAZAN
FEDERAL UNIVERSITY

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ZIPF EXPONENT OF TRAJECTORY DISTRIBUTION IN THE HIDDEN MARKOV MODEL

Form of presentation

Articles in international journals and collections

Year of publication

2014

Authors, employees of KFU

Bochkarev Vladimir Vladimirovich, author

Lerner Eduard Yulevich, author

Bibliographic description in the original language

Zipf exponent of trajectory distribution in the hidden Markov model. J. Phys.: Conf. Ser. 2014, V. 490, 012008

Annotation

This paper is the first step of generalization of the previously obtained full classification of the asymptotic behavior of the probability for Markov chain trajectories for the case of hidden Markov models. The main goal is to study the power (Zipf) and nonpower asymptotics of the frequency list of trajectories of hidden Markov frequencys and to obtain explicit formulae for the exponent of the power asymptotics. We consider several simple classes of hidden Markov models. We prove that the asymptotics for a hidden Markov model and for the corresponding Markov chain can be essentially different.

Keywords

Probability for Markov chain trajectories, hidden Markov models, Zipf law, non-Zipf law

The name of the journal

J. Phys. Conf. Series

URL

http://iopscience.iop.org/1742-6596/490/1/012008/pdf/1742-6596_490_1_012008.pdf

Please use this ID to quote from or refer to the card

https://repository.kpfu.ru/eng/?p_id=95318&p_lang=2

Full metadata record

Field DC	Value	Language
dc.contributor.author	Bochkarev Vladimir Vladimirovich	ru_RU
dc.contributor.author	Lerner Eduard Yulevich	ru_RU
dc.date.accessioned	2014-01-01T00:00:00Z	ru_RU
dc.date.available	2014-01-01T00:00:00Z	ru_RU
dc.date.issued	2014	ru_RU
dc.identifier.citation	Zipf exponent of trajectory distribution in the hidden Markov model. J. Phys.: Conf. Ser. 2014, V. 490, 012008	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=95318&p_lang=2	ru_RU
dc.description.abstract	J. Phys. Conf. Series	ru_RU
dc.description.abstract	This paper is the first step of generalization of the previously obtained full classification of the asymptotic behavior of the probability for Markov chain trajectories for the case of hidden Markov models. The main goal is to study the power (Zipf) and nonpower asymptotics of the frequency list of trajectories of hidden Markov frequencys and to obtain explicit formulae for the exponent of the power asymptotics. We consider several simple classes of hidden Markov models. We prove that the asymptotics for a hidden Markov model and for the corresponding Markov chain can be essentially different.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	Probability for Markov chain trajectories	ru_RU
dc.subject	hidden Markov models	ru_RU
dc.subject	Zipf law	ru_RU
dc.subject	non-Zipf law	ru_RU
dc.title	Zipf exponent of trajectory distribution in the hidden Markov model	ru_RU
dc.type	Articles in international journals and collections	ru_RU