摘要
本文主要考虑带移民的n维分枝过程的分枝性质和衰减性质.对于这类过程,首先给出了分枝性质的等价条件,得到了衰减指数的精确值λ_Z,同时进一步讨论λ_Z-不变向量/测度和拟平稳分布.
In this paper, we mainly consider the branching property and decay properties of n-type Markov branching processes with immigration. The equivalent conditions of the branching and immigration property are firstly obtained. The exact value of the decay parameter, denoted by λZ is obtained. The corresponding λZ-invariant vectors/measures and quasi-stationary distribution are discussed.
作者
王娟
李俊平
Juan Wangm;Junping Li
出处
《中国科学：数学》
CSCD
北大核心
2018年第7期939-954,共16页
Scientia Sinica：Mathematica
基金
国家自然科学基金(批准号:11771452
11371374
11571372和11526141)资助项目
关键词
n维分枝过程
移民
分枝性质
衰减指数
不变向量
不变测度
拟平稳分布
n-type Markov branching process
immigratlon
branching property
decay parameter
invariant vectors invariant measure
quasi-statlonary distribution
