Reduced multitype critical branching processes in random environment

被引：1

作者：

Dyakonova, Elena E. ^{[1
]}

机构：

[1] Russian Acad Sci, Steklov Math Inst, Moscow, Russia

来源：

DISCRETE MATHEMATICS AND APPLICATIONS | 2018年 / 28卷 / 01期

基金：

俄罗斯科学基金会;

关键词：

multitupe branching processes; reduced branching processes; random environment;

D O I：

10.1515/dma-2018-0002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a multitype critical branching process Z(n, n) = 0, 1,..., in an i.i.d. random environment. Let Z(m,n) be the number of particles in this process at time.. having descendants at time m A limit theorem is proved for the logarithm of Z(nt,n) at moments nt, 0 <= t <= 1, conditioned on the survival of the process Z(n) up to moment n when n -> infinity.

引用

下载

页码：7 / 22

页数：16

共 50 条

[1] Critical multitype branching processes in a random environment
Dyakonova, E. E.
DISCRETE MATHEMATICS AND APPLICATIONS, 2007, 17 (06): : 587 - 606
[2] On multitype branching processes in a random environment
Dyakonova E.E.
Journal of Mathematical Sciences, 2002, 111 (3) : 3537 - 3540
[3] Multitype branching processes in random environment
Vatutin, V. A.
Dyakonova, E. E.
RUSSIAN MATHEMATICAL SURVEYS, 2021, 76 (06) : 1019 - 1063
[4] Asymptotic properties of multitype critical branching processes evolving in a random environment
Vatutin, V. A.
Dyakonova, E. E.
DISCRETE MATHEMATICS AND APPLICATIONS, 2010, 20 (02): : 157 - 177
[5] MULTITYPE BRANCHING PROCESSES IN RANDOM ENVIRONMENT: PROBABILITY OF SURVIVAL FOR THE CRITICAL CASE
Vatutin, V. A.
Dyakonova, E. E.
THEORY OF PROBABILITY AND ITS APPLICATIONS, 2018, 62 (04) : 506 - 521
[6] Reduced critical branching processes in random environment
Stoch. Processes Appl., 2 (225-240):
[7] Reduced critical branching processes in random environment
Borovkov, KA
Vatutin, VA
STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 1997, 71 (02) : 225 - 240
[8] ON MULTITYPE BRANCHING-PROCESSES IN A RANDOM ENVIRONMENT
TANNY, D
ADVANCES IN APPLIED PROBABILITY, 1981, 13 (03) : 464 - 497
[9] Multitype subcritical branching processes in a random environment
Dyakonova, E. E.
PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS, 2013, 282 (01) : 80 - 89
[10] Multitype subcritical branching processes in a random environment
E. E. Dyakonova
Proceedings of the Steklov Institute of Mathematics, 2013, 282 : 80 - 89

← 1 2 3 4 5 →