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Estimation of Probabilities for Multidimensional Birth-Death Processes


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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.

About the authors

A. I. Zeifman

Vologda State University, Institute of Informatics Problems, FRC CSC RAS; ISEDT, RAS

Author for correspondence.
Email: a_zeifman@mail.ru
Russian Federation, Vologda

A. S. Sipin

Vologda State University

Email: a_zeifman@mail.ru
Russian Federation, Vologda

A. V. Korotysheva

Vologda State University

Email: a_zeifman@mail.ru
Russian Federation, Vologda

T. L. Panfilova

Vologda State University

Email: a_zeifman@mail.ru
Russian Federation, Vologda

Ya. A. Satin

Vologda State University

Email: a_zeifman@mail.ru
Russian Federation, Vologda

G. N. Shilova

Vologda State University

Email: a_zeifman@mail.ru
Russian Federation, Vologda

V. Yu. Korolev

Lomonosov Moscow State University, Institute of Informatics Problems, FRC CSC RAS

Email: a_zeifman@mail.ru
Russian Federation, Moscow

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