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

[1] Estimation for General Birth-Death Processes
Crawford, Forrest W.
Minin, Vladimir N.
Suchard, Marc A.
[J]. JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 2014, 109 (506) : 730 - 747
[2] Birth/birth-death processes and their computable transition probabilities with biological applications
Lam Si Tung Ho
Jason Xu
Forrest W. Crawford
Vladimir N. Minin
Marc A. Suchard
[J]. Journal of Mathematical Biology, 2018, 76 : 911 - 944
[3] Birth/birth-death processes and their computable transition probabilities with biological applications
Ho, Lam Si Tung
Xu, Jason
Crawford, Forrest W.
Minin, Vladimir N.
Suchard, Marc A.
[J]. JOURNAL OF MATHEMATICAL BIOLOGY, 2018, 76 (04) : 911 - 944
[4] PROBABILITIES AND MOMENTS FOR ABSORPTION IN FINITE HOMOGENEOUS BIRTH-DEATH PROCESSES
GLAZ, J
[J]. BIOMETRICS, 1979, 35 (04) : 813 - 816
[5] ON THE ESTIMATION OF PROBABILITIES FOR BIRTH AND DEATH PROCESSES
ZEIFMAN, AI
[J]. JOURNAL OF APPLIED PROBABILITY, 1995, 32 (03) : 623 - 634
[6] OPTIMAL SEQUENTIAL ESTIMATION FOR ERGODIC BIRTH-DEATH PROCESSES
MANJUNATH, SM
[J]. JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES B-METHODOLOGICAL, 1984, 46 (03): : 412 - 418
[7] ABSORPTION PROBABILITIES AND ABSORPTION TIMES OF FINITE HOMOGENEOUS BIRTH-DEATH PROCESSES
TAN, WY
[J]. BIOMETRICS, 1976, 32 (04) : 745 - 752
[8] APPROXIMATIONS OF STATE TRANSITION-PROBABILITIES IN FINITE BIRTH-DEATH PROCESSES
MASUDA, K
[J]. IEICE TRANSACTIONS ON COMMUNICATIONS ELECTRONICS INFORMATION AND SYSTEMS, 1991, 74 (04): : 715 - 721
[9] Estimation of probabilities for some birth and death processes
Zeifman A.I.
[J]. Journal of Mathematical Sciences, 2002, 111 (6) : 3918 - 3921
[10] Fractional multiple birth-death processes with birth probabilities λi(Δt)α + o((Δt)α)
Jumarie, Guy
[J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2010, 347 (10): : 1797 - 1813

← 1 2 3 4 5 →