报告一:
报告人:孙琪
单位:北京工商大学
时间:2020年10月7日 周三下午15:00-16:00
线上腾讯会议,会议号:551638602
题目:Lower deviations for supercritical branching processes with immigration
摘要:
For a supercritical branching processes with immigration , it is known that under suitable conditions on the offspring and immigration distributions, converges almost surely to a finite and strictly positive limit, where is the offspring mean. We are interested in the limiting properties of with as . We give asymptotic behavior of such lower deviation probabilities in both Schr\"{o}der and B\"{o}ttcher cases, unifying and extending the previous results for non-immigration cases in literature.
This talk is based on joint work with Professor Mei Zhang.
报告二:
报告人:李豆豆
单位:北京工业大学
时间:2020年10月7日 周三下午16:00-17:00
线上腾讯会议,会议号:551638602
题目:Harmonic moments and large deviations for a critical Galton-Watson process with immigration
摘要:
In this paper, a critical Galton-Watson branching process with immigration is studied. We first obtain the convergence rate of the harmonic moment of . Then the large deviation of is obtained, where is a sequence of independent and identically distributed zero-mean random variables with tail index α>2. We shall see that the converging rate is determined by the immigration mean, the variance of reproducing and the tail index of , comparing to previous result for supercritical case, where the rate depends on the Schröder constant and the tail index.
This is a joint work with Professor Mei Zhang.