The Kolmogorov equation in the stochastic fragmentation theory and branching processes with infinite collection of particle types.
Brodskii, R.Ye., Virchenko, Yu.P. (2006)
Abstract and Applied Analysis
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Displaying similar documents to “Random sums of random vectors and multitype families of productive individuals.”
The Kolmogorov equation in the stochastic fragmentation theory and branching processes with infinite collection of particle types.
On the Survival Probability of a Branching Process in a Random Environment
Quansheng Liu (1993)
Publications mathématiques et informatique de Rennes
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φ-branching processes in a random environment
J. Holzheimer (1984)
Applicationes Mathematicae
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Conditional limit theorems for intermediately subcritical branching processes in random environment
V. I. Afanasyev, Ch. Böinghoff, G. Kersting, V. A. Vatutin (2014)
Annales de l'I.H.P. Probabilités et statistiques
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For a branching process in random environment it is assumed that the offspring distribution of the individuals varies in a random fashion, independently from one generation to the other. For the subcritical regime a kind of phase transition appears. In this paper we study the intermediately subcritical case, which constitutes the borderline within this phase transition. We study the asymptotic behavior of the survival probability. Next the size of the population and the shape of the...
Positively and negatively excited random walks on integers, with branching processes.
Kosygina, Elena, Zerner, Martin P.W. (2008)
Electronic Journal of Probability [electronic only]
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The longtime behavior of branching random walk in a catalytic medium.
Greven, A., Klenke, A., Wakolbinger, A. (1999)
Electronic Journal of Probability [electronic only]
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Generalized random processes on the Zemanian space .
Lozanov-Crvenković, Z., Pilipović, S. (1989)
Publications de l'Institut Mathématique. Nouvelle Série
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Sample correlations of infinite variance time series models: An empirical and theoretical study.
Cohen, Jason, Resnick, Sidney, Samorodnitsky, Gennady (1998)
Journal of Applied Mathematics and Stochastic Analysis
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Some general properties of elliptically symmetric and some related random processes
Oldřich Kropáč (1981)
Kybernetika
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On limit distribution theorems for sums of a random number of random variables appearing in the study of rarefaction of a recurrent process
D. Szynal (1976)
Applicationes Mathematicae
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Branching processes: genealogy and evolution.
González, Miguel, del Puerto, Inés Maria (2010)
Boletín de Estadística e Investigación Operativa
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On fully coupled continuous time random walks
W. Szczotka, P. Żebrowski (2012)
Applicationes Mathematicae
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Continuous time random walks with jump sizes equal to the corresponding waiting times for jumps are considered. Sufficient conditions for the weak convergence of such processes are established and the limiting processes are identified. Furthermore one-dimensional distributions of the limiting processes are given under an additional assumption.
Some applications of Tauberian theorems in probability theory.
Yakymiv, A.L. (2002)
Publications de l'Institut Mathématique. Nouvelle Série
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Limit distributions for the ratio of the random sum of squares to the square of the random sum with applications to risk measures.
Ladoucette, Sophie A., Teugels, Jef J. (2006)
Publications de l'Institut Mathématique. Nouvelle Série
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