КФУ. Карточка публикации. Zipf exponent of trajectory distribution in the hidden Markov model

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ZIPF EXPONENT OF TRAJECTORY DISTRIBUTION IN THE HIDDEN MARKOV MODEL

Форма представления

Статьи в зарубежных журналах и сборниках

Год публикации

2014

Авторы, сотрудники КФУ

Бочкарев Владимир Владимирович, автор

Лернер Эдуард Юльевич, автор

Библиографическое описание на языке оригинала

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

Аннотация

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.

Ключевые слова

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

Название журнала

J. Phys. Conf. Series

URL

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

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https://repository.kpfu.ru/?p_id=95318

Полная запись метаданных

Поле DC	Значение	Язык
dc.contributor.author	Бочкарев Владимир Владимирович	ru_RU
dc.contributor.author	Лернер Эдуард Юльевич	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/?p_id=95318	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	Статьи в зарубежных журналах и сборниках	ru_RU