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:
- Vologda State University, Institute of Informatics Problems, FRC CSC RAS
- ISEDT, RAS
- Vologda State University
- 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
Cite item
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