A Local Large Deviation Principle for Inhomogeneous Birth–Death Processes

N. D. Vvedenskaya; A. V. Logachov; Yu M. Suhov; A. A. Yambartsev

doi:10.1134/S0032946018030067

A Local Large Deviation Principle for Inhomogeneous Birth–Death Processes

N. D. Vvedenskaya
, A. V. Logachov
, Yu M. Suhov
, A. A. Yambartsev

Mathematics

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

The paper considers a continuous-time birth–death process where the jump rate has an asymptotically polynomial dependence on the process position. We obtain a rough exponential asymptotic for the probability of trajectories of a re-scaled process contained within a neighborhood of a given continuous nonnegative function.

Original language	English (US)
Pages (from-to)	263-280
Number of pages	18
Journal	Problems of Information Transmission
Volume	54
Issue number	3
DOIs	https://doi.org/10.1134/S0032946018030067
State	Published - Jul 1 2018

All Science Journal Classification (ASJC) codes

Information Systems
Computer Science Applications
Computer Networks and Communications

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10.1134/S0032946018030067

Cite this

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title = "A Local Large Deviation Principle for Inhomogeneous Birth–Death Processes",

abstract = "The paper considers a continuous-time birth–death process where the jump rate has an asymptotically polynomial dependence on the process position. We obtain a rough exponential asymptotic for the probability of trajectories of a re-scaled process contained within a neighborhood of a given continuous nonnegative function.",

author = "Vvedenskaya, \{N. D.\} and Logachov, \{A. V.\} and Suhov, \{Yu M.\} and Yambartsev, \{A. A.\}",

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AU - Vvedenskaya, N. D.

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AU - Suhov, Yu M.

AU - Yambartsev, A. A.

PY - 2018/7/1

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AB - The paper considers a continuous-time birth–death process where the jump rate has an asymptotically polynomial dependence on the process position. We obtain a rough exponential asymptotic for the probability of trajectories of a re-scaled process contained within a neighborhood of a given continuous nonnegative function.

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UR - https://www.scopus.com/pages/publications/85054791010#tab=citedBy

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DO - 10.1134/S0032946018030067

M3 - Article

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JF - Problems of Information Transmission

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A Local Large Deviation Principle for Inhomogeneous Birth–Death Processes

Abstract

All Science Journal Classification (ASJC) codes

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