A1669
Title: Sharp large deviations for branching process with immigration
Authors: Fengnan Deng - George Mason University (United States) [presenting]
Anand Vidyashankar - George Mason University (United States)
Abstract: The focus is on the study of sharp large deviation estimates for Galton-Watson branching processes allowing immigration. Conditional and unconditional deviation bounds are derived for estimators of the offspring mean and variance and describe extensions to controlled branching processes under appropriate moment conditions. For this reason, local limit theorems are developed under a finite offspring and immigration mean hypothesis. The primary technical tools employed include Fourier analysis of the generating functions.
