Estimation of Probabilities for Multidimensional Birth-Death Processes

被引：0

作者：

Zeifman A.I. ^{[1
]}

Sipin A.S. ^{[3
]}

Korotysheva A.V. ^{[3
]}

Panfilova T.L. ^{[3
]}

Satin Y.A. ^{[3
]}

Shilova G.N. ^{[3
]}

Korolev V.Y. ^{[4
]}

机构：

[1] Vologda State University, Institute of Informatics Problems

[2] ISEDT, RAS, Vologda

[3] Vologda State University, Vologda

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

来源：

Journal of Mathematical Sciences | 2016年 / 218卷 / 2期

基金：

俄罗斯基础研究基金会;

关键词：

D O I：

10.1007/s10958-016-3025-5

中图分类号：

学科分类号：

摘要：

We consider a multidimensional inhomogeneous birth-death process and obtain bounds for the probabilities of the corresponding one-dimensional processes. © 2016, Springer Science+Business Media New York.

引用

页码：238 / 244

页数：6

共 50 条

[41] First eigenvalue of birth-death processes with killing
Wang, Jian
FRONTIERS OF MATHEMATICS IN CHINA, 2012, 7 (03) : 561 - 572
[42] The combinatorics of birth-death processes and applications to queues
Böhm, W.
Krinik, A.
Mohanty, S.G.
Queueing Systems, 1997, 26 (3-4): : 255 - 267
[43] Shell Polynomials and Dual Birth-Death Processes
Van Doorn, Erik A.
SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2016, 12
[44] Ergodicity Bounds for Birth-Death Processes with Particularities
Zeifman, Alexander I.
Satin, Yacov
Korotysheva, Anna
Shilova, Galina
Kiseleva, Ksenia
Korolev, Victor Yu.
Bening, Vladimir E.
Shorgin, Sergey Ya.
PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2015 (ICNAAM-2015), 2016, 1738
[45] On a Symmetric, Nonlinear Birth-Death Process with Bimodal Transition Probabilities
Di Crescenzo, Antonio
Martinucci, Barbara
SYMMETRY-BASEL, 2009, 1 (02): : 201 - 214
[46] Stein's method and birth-death processes
Brown, TC
Xia, AH
ANNALS OF PROBABILITY, 2001, 29 (03): : 1373 - 1403
[47] On integrals of birth-death processes at random time
Vishwakarma, P.
Kataria, K. K.
STATISTICS & PROBABILITY LETTERS, 2024, 214
[48] Cluster birth-death processes in a vapor at equilibrium
Soto, R
Cordero, P
JOURNAL OF CHEMICAL PHYSICS, 1999, 110 (15): : 7316 - 7325
[49] First eigenvalue of birth-death processes with killing
Jian Wang
Frontiers of Mathematics in China, 2012, 7 : 561 - 572
[50] Intertwining and commutation relations for birth-death processes
Chafai, Djalil
Joulin, Alderic
BERNOULLI, 2013, 19 (5A) : 1855 - 1879

← 1 2 3 4 5 →