On moments for branching processes
J. Holzheimer (1987)
Applicationes Mathematicae
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J. Holzheimer (1987)
Applicationes Mathematicae
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André Arnold (1988)
Banach Center Publications
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Mitov, Kosto (2011)
Union of Bulgarian Mathematicians
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Косто В. Митов - Разклоняващите се стохастични процеси са модели на популационната динамика на обекти, които имат случайно време на живот и произвеждат потомци в съответствие с дадени вероятностни закони. Типични примери са ядрените реакции, клетъчната пролиферация, биологичното размножаване, някои химични реакции, икономически и финансови явления. В този обзор сме се опитали да представим съвсем накратко някои от най-важните моменти и факти от историята, теорията и приложенията на...
Kunze, M., Monteiro Marques, Manuel D.P. (1997)
Journal of Convex Analysis
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M. M. Sysło (1974)
Applicationes Mathematicae
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J. Holzheimer (1987)
Applicationes Mathematicae
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Lucian Beznea (2011)
Journal of the European Mathematical Society
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We develop potential-theoretical methods in the construction of measure-valued branching processes.We complete results of P. J. Fitzsimmons and E. B. Dynkin on the construction, regularity and other properties of the superprocess associated with a given right process and a branching mechanism.
Miguel González, Manuel Molina (1992)
Extracta Mathematicae
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B. Kopociński (1966)
Applicationes Mathematicae
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Rahimov, Ibrahim, Hasan, Husna (2000)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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Lingjiong Zhu (2014)
Annales de l'I.H.P. Probabilités et statistiques
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In this paper, we prove a process-level, also known as level-3 large deviation principle for a very general class of simple point processes, i.e. nonlinear Hawkes process, with a rate function given by the process-level entropy, which has an explicit formula.
Jagers, Peter, Lagerås, Andreas Nordvall (2008)
Electronic Communications in Probability [electronic only]
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Jean Picard (2010)
ESAIM: Probability and Statistics
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The density of real-valued Lévy processes is studied in small time under the assumption that the process has many small jumps. We prove that the real line can be divided into three subsets on which the density is smaller and smaller: the set of points that the process can reach with a finite number of jumps (Δ-accessible points); the set of points that the process can reach with an infinite number of jumps (asymptotically Δ-accessible points); and the set of points that the process...