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X-WR-CALDESC:Събития за Institute of Mathematics and Informatics
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DTSTART;TZID=Europe/Sofia:20210505T150000
DTEND;TZID=Europe/Sofia:20210505T163000
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CREATED:20210427T155906Z
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UID:10501-1620226800-1620232200@math.bas.bg
SUMMARY:Национален семинар по стохастика
DESCRIPTION:Националният семинар по стохастика \nорганизира съвместна сбирка с \nDepartment of Mathematics (University of Extremadura\, Spain) \nна 5 май 2021 г. от 15 часа в платформата Zoom. \nДоклад на тема \nContinuous-time Controlled Branching Processes\nще изнесе \nManuel Molina Fernández (Department of Mathematics and Institute of Advanced  Scientific Computation\, University of Extremadura\, Spain). \nАбстракт: Classical branching processes with independent individual evolutions have been extensively studied in the literature. It is well known that in many real situations\, the evolutions of the individuals are not independent. Several approaches to modeling dependent evolutions have been investigated. In particular\, controlled branching processes constitute a broad class of integer-valued discrete-time Markov models where the population size in every generation could be randomly regulated before the reproduction by an emigration of a part of the population or after the reproduction by an immigration of individuals. In these processes\, the evolutions of the individuals are not independent nevertheless that they reproduce independently of each others. A general definition of a continuous-time controlled branching process does not exist up to now. Recently\, with the main motivation to provide some solution on this issue\, we have introduced and investigated a new class of continuous-time controlled branching processes. For the critical case\, we have established some limiting distributions. An extension of this class as regenerative controlled branching processes with continuous time has been proposed and some asymptotic properties investigated. We have also considered multitype random control functions\, we have especially studied a case with three specific control functions (controlled branching processes with random migration). In this talk\, a summary about the main results obtained in such research\, developed in [1]\, will be presented.\n[1] González\, M.\, Molina\, M.\, del Puerto\, I.M.\, Yanev\, G.P.\, Yanev\, N.M. (2021). Controlled\nbranching processes with continuous time. Journal of Applied Probability\, vol. 58\, (to appear).. \nУчастието ще е достъпно чрез линка към  Zoom стаята: \nTopic: Национален семинар по стохастика\nTime: May 5\, 2021 15:00 Sofia \nJoin Zoom Meeting\nhttps://us02web.zoom.us/j/87083470078?pwd=QmNleWZIUkdheitsK2FMWmFFazNPdz09 \nMeeting ID: 870 8347 0078\nPasscode: 816384 \nПоканват се всички интересуващи се.
URL:https://math.bas.bg/event/%d0%bd%d0%b0%d1%86%d0%b8%d0%be%d0%bd%d0%b0%d0%bb%d0%b5%d0%bd-%d1%81%d0%b5%d0%bc%d0%b8%d0%bd%d0%b0%d1%80-%d0%bf%d0%be-%d1%81%d1%82%d0%be%d1%85%d0%b0%d1%81%d1%82%d0%b8%d0%ba%d0%b0-26/
LOCATION:Zoom
CATEGORIES:Редовен семинар
ORGANIZER;CN="%D0%98%D0%BD%D1%81%D1%82%D0%B8%D1%82%D1%83%D1%82%20%D0%BF%D0%BE%20%D0%BC%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0%20%D0%B8%20%D0%B8%D0%BD%D1%84%D0%BE%D1%80%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0%20-%20%D0%91%D0%90%D0%9D":MAILTO:office@math.bas.bg
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