The existence and moments of canonical branching chain in random environment

被引：8

作者：

Hu, DH ^{[1
]}

机构：

[1] Wuhan Univ, Coll Math & Stat, Wuhan 430072, Peoples R China

来源：

ACTA MATHEMATICA SCIENTIA | 2004年 / 24卷 / 03期

关键词：

random transition matrix; branching chain in random environment; canonical branching chains in random environments; generator random varialble;

D O I：

10.1016/S0252-9602(17)30174-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The concepts of branching chain in random environmnet and canonical branching chain in random environment are introduced. Moreover the existence of these chains is proved. Finally the exact formulas of mathematical expectation and variance of branching chain in random environment are also given.

引用

页码：499 / 506

页数：8

共 50 条

[1] THE EXISTENCE AND MOMENTS OF CANONICAL BRANCHING CHAIN IN RANDOM ENVIRONMENT
胡迪鹤
[J]. Acta Mathematica Scientia, 2004, (03) : 499 - 506
[2] Weighted moments of the limit of a branching process in a random environment
Liang, Xingang
Liu, Quansheng
[J]. PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS, 2013, 282 (01) : 127 - 145
[3] Weighted moments of the limit of a branching process in a random environment
Xingang Liang
Quansheng Liu
[J]. Proceedings of the Steklov Institute of Mathematics, 2013, 282 : 127 - 145
[4] Quenched weighted moments for a branching process with immigration in a random environment
Huang, Xulan
[J]. STOCHASTIC MODELS, 2024, 40 (02) : 278 - 295
[5] QUENCHED WEIGHTED MOMENTS OF A SUPERCRITICAL BRANCHING PROCESS IN A RANDOM ENVIRONMENT
Wang, Yuejiao
Li, Yingqiu
Liu, Quansheng
Liu, Zaiming
[J]. ASIAN JOURNAL OF MATHEMATICS, 2019, 23 (06) : 969 - 984
[6] Moments, moderate and large deviations for a branching process in a random environment
Huang, Chunmao
Liu, Quansheng
[J]. STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2012, 122 (02) : 522 - 545
[7] Weighted moments for a supercritical branching process in a varying or random environment
LI YingQiu1
2College of Mathematics and Computer Sciences
3LMAM
[J]. Science China Mathematics, 2011, 54 (07) : 1437 - 1444
[8] THE BRANCHING CHAIN WITH DRIFT IN SPACE-TIME RANDOM ENVIRONMENT (I): MODEL, MARKOV PROPERTY, MOMENTS
Hu Dihe
Hu Xiaoyu
[J]. ACTA MATHEMATICA SCIENTIA, 2010, 30 (05) : 1669 - 1678
[9] Weighted moments for a supercritical branching process in a varying or random environment
YingQiu Li
YangLi Hu
QuanSheng Liu
[J]. Science China Mathematics, 2011, 54 : 1437 - 1444
[10] THE BRANCHING CHAIN WITH DRIFT IN SPACE-TIME RANDOM ENVIRONMENT(I):MODEL,MARKOV PROPERTY,MOMENTS
胡迪鹤
胡晓予
[J]. Acta Mathematica Scientia, 2010, 30 (05) : 1669 - 1678

← 1 2 3 4 5 →