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Поредната сбирка на

Националния семинар по стохастика

ще се проведе на 15 май 2018 г. (вторник) от 14:00 в зала 403 на ИМИ-БАН с доклад на

Николай Янев (ИМИ-БАН)

на тема:

Poisson Random Measures and Multitype Branching Processes

Резюме: The main purpose of this paper is to introduce multitype branching processes generated by Poisson random measures (PRM). The asymptotic behaviour is investigated in the critical Markov case when the local intensity r(t) of the PRM are regularly varying functions. The fi…rst and second moments are studied and the convergence of the probabilities of non-extinction is investigated. Various type limiting distributions are obtained depending on the asymptotic behaviour of r(t).