摘要

We prove that the fluctuation limit of a sequence of Galton-Watson branching processes with immigration can be an Ornstein-Uhlenbeck type process under some assumptions on the offspring and the immigration laws. The asymptotic properties of the conditional least square estimators of the offspring mean and the immigration mean are studied when the limit process is an Ornstein-Uhlenbeck diffusion process.

  • 出版日期2010-7