摘要
本文考虑一类带移民和拯救的二次加权分枝过程(QWMBPIR)的正则性、存在唯一性以及常返性和遍历性.我们首先对QWMBIR的q-矩阵发生函数的性质进行讨论,建立QWMBPIR正则性及唯一性的判别准则.进一步,对QWMBPIR的常返性及遍历性进行分析,得到过程遍历性的充分条件.
In this paper we study the regularity,uniqueness,recurrence and ergodicity of the quadratic weighted Markov branching processes with immigration and resurrection(QWMBPIR).Firstly,we investigate the properties of the generating function for QWMBIR q-matrix.It is proved that the QWMBPIR is regular and unique.Then we discuss the recurrence and ergodicity of QWMBPIR and give a sufficient condition for the ergodicity.
出处
《数学理论与应用》
2017年第2期11-17,共7页
Mathematical Theory and Applications
关键词
加权分枝过程
移民
拯救
唯一性
遍历性
Weighted branching process
Immigration
Resurrection
Uniqueness
Ergodicity
