B1760
Title: Multitype subcritical Markov branching processes with immigration generated by Poisson random measures
Authors: Maroussia Slavtchova-Bojkova - Institute of Mathematics and Informatics, Bulgarian Academy of Sciences (Bulgaria) [presenting]
Nikolay Yanev - Bulgarian Academy of Sciences (Bulgaria)
Ollivier Hyrien - Fred Hutchinson Cancer Research Center (United States)
Abstract: Subcritical multitype Markov branching processes are investigated with immigration generated by Poisson random measures, i.e. when the Perron-Frobenius root is negative. Limiting distributions are established for various rates of the Poisson measures when they are asymptotically equivalent to exponential or regularly varying functions. Results analogous to a strong LLN are proved, and limiting normal distributions are obtained when the local intensity of the Poisson measure increases. When it decreases, conditional limiting distributions are established. When the intensity converges to a constant, a stationary limiting distribution is obtained.
