Limit theorems for the process of exceedances in large populations.
Rahimov, Ibrahim, Hasan, Husna (2000)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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Rahimov, Ibrahim, Hasan, Husna (2000)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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Jagers, Peter, Lagerås, Andreas Nordvall (2008)
Electronic Communications in Probability [electronic only]
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Miguel González, Manuel Molina (1992)
Extracta Mathematicae
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Lambert, Amaury (2007)
Electronic Journal of Probability [electronic only]
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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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Matthes, Klaus, Nawrotzki, Kurt, Siegmund-Schultze, Rainer (1997)
Serdica Mathematical Journal
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The paper is a contribution to the theory of branching processes with discrete time and a general phase space in the sense of [2]. We characterize the class of regular, i.e. in a sense sufficiently random, branching processes (Φk) k∈Z by almost sure properties of their realizations without making any assumptions about stationarity or existence of moments. This enables us to classify the clans of (Φk) into the regular part and the completely non-regular part. It turns out that the...
Birkner, Matthias, Blath, Jochen, Capaldo, Marcella, Etheridge, Alison M., Möhle, Martin, Schweinsberg, Jason, Wakolbinger, Anton (2005)
Electronic Journal of 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...