Estimation of Probabilities for Multidimensional Birth-Death Processes

A. I. Zeifman; A. S. Sipin; A. V. Korotysheva; T. L. Panfilova; Ya. A. Satin; G. N. Shilova; V. Yu. Korolev

doi:10.1007/s10958-016-3025-5

Estimation of Probabilities for Multidimensional Birth-Death Processes

Authors: Zeifman A.I.¹^,2, Sipin A.S.³, Korotysheva A.V.³, Panfilova T.L.³, Satin Y.A.³, Shilova G.N.³, Korolev V.Y.⁴
Affiliations:
1. Vologda State University, Institute of Informatics Problems, FRC CSC RAS
2. ISEDT, RAS
3. Vologda State University
4. Lomonosov Moscow State University, Institute of Informatics Problems, FRC CSC RAS
Issue: Vol 218, No 2 (2016)
Pages: 238-244
Section: Article
URL: https://journals.rcsi.science/1072-3374/article/view/238207
DOI: https://doi.org/10.1007/s10958-016-3025-5
ID: 238207

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Abstract
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Abstract

We consider a multidimensional inhomogeneous birth-death process and obtain bounds for the probabilities of the corresponding one-dimensional processes.