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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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...
Miguel González, Manuel Molina (1992)
Extracta Mathematicae
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Slavtchova-Bojkova, Maroussia (2011)
Union of Bulgarian Mathematicians
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Марусия Н. Славчова-Божкова - В настоящата работа се обобщава една гранична теорема за докритичен многомерен разклоняващ се процес, зависещ от възрастта на частиците с два типа имиграция. Целта е да се обобщи аналогичен резултат в едномерния случай като се прилагат “coupling” метода, теория на възстановяването и регенериращи процеси. This work continues the study of the classical subcritical age-dependent branching process and the effect of the following two-type immigration...
González, Miguel, del Puerto, Inés Maria (2010)
Boletín de Estadística e Investigación Operativa
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Kurbanov, S. (2008)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: Primary 60J80, Secondary 60G99. In the paper a modification of the branching stochastic process with immigration and with continuous states introduced by Adke S. R. and Gadag V. G. (1995) is considered. Limit theorems for the non-critical processes with or without non-stationary immigration and finite variance are proved. The subcritical case is illustrated with examples.
Andrei Frolov (2013)
Open Mathematics
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We derive logarithmic asymptotics of probabilities of small deviations for iterated processes in the space of trajectories. We find conditions under which these asymptotics coincide with those of processes generating iterated processes. When these conditions fail the asymptotics are quite different.
J. Holzheimer (1987)
Applicationes Mathematicae
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Jagers, Peter, Lagerås, Andreas Nordvall (2008)
Electronic Communications in Probability [electronic only]
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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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J. Holzheimer (1987)
Applicationes Mathematicae
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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...