Asymptotic behavior of a controlled branching process with continuous state space

作者：Rahimov I^*

来源：Stochastic Analysis and Applications, 2007, 25(2): 337-352.

DOI：10.1080/07362990601139545

• branching process
• counting process
• immigration
• independent increment

In this article, a modification of the branching stochastic process with immigration and with continuous states, introduced by Adke and Gadag [ 1] will be considered. Theorems establishing a relationship of this process with Bienayme-Galton-Watson processes will be proved. It will be demonstrated that limit theorems for the new process can be deduced from those for simple processes with time-dependent immigration, assuming that process is critical and offspring variance is finite.

• 出版日期2007
• 单位中国石油大学（北京）