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pro vyhledávání: '"Böinghoff, A."'
Autor:
Böinghoff, Christian
In the present paper, we characterize the behavior of supercritical branching processes in random environment with linear fractional offspring distributions, conditioned on having small, but positive values at some large generation. As it has been no
Externí odkaz:
http://arxiv.org/abs/1311.1327
Branching Processes in Random Environment (BPREs) $(Z\_n:n\geq0)$ are the generalization of Galton-Watson processes where in each generation the reproduction law is picked randomly in an i.i.d. manner. In the supercritical regime, the process survive
Externí odkaz:
http://arxiv.org/abs/1210.4264
Autor:
Böinghoff, Christian, Kersting, Götz
Intermediately subcritical branching processes in random environment are at the borderline between two subcritical regimes and exhibit a particularly rich behavior. In this paper, we prove a functional limit theorem for these processes. It is discuss
Externí odkaz:
http://arxiv.org/abs/1209.1274
Branching Processes in Random Environment (BPREs) $(Z_n:n\geq0)$ are the generalization of Galton-Watson processes where in each generation the reproduction law is picked randomly in an i.i.d. manner. In the supercritical case, the process survives w
Externí odkaz:
http://arxiv.org/abs/1112.5257
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.
Externí odkaz:
http://arxiv.org/abs/1108.2127
Publikováno v:
Markov Processes Relat. Fields 18, 269-310 (2012)
We consider the diffusion approximation of branching processes in random environment (BPREs). This diffusion approximation is similar to and mathematically more tractable than BPREs. We obtain the exact asymptotic behavior of the survival probability
Externí odkaz:
http://arxiv.org/abs/1107.2773
Branching Processes in a Random Environment (BPREs) $(Z_n:n\geq0)$ are a generalization of Galton Watson processes where in each generation the reproduction law is picked randomly in an i.i.d. manner. We determine here the upper large deviation of th
Externí odkaz:
http://arxiv.org/abs/1004.1263
Publikováno v:
Markov Process. Related Fields 16 (2010), no. 2, 329-350
Let ${Z_{n},n\geq 0} $ be a critical branching process in random environment and let $T$ be its moment of extinction. Under the annealed approach we prove, as $n\to \infty ,$ a limit theorem for the number of particles in the process at moment $n$ gi
Externí odkaz:
http://arxiv.org/abs/1001.2413
Publikováno v:
Journal of Theoretical Probability, 25, p. 703-732, 2012
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. Interestingly there is the possibility that the process may at
Externí odkaz:
http://arxiv.org/abs/1001.1672
Autor:
Böinghoff, Christian
Publikováno v:
In Stochastic Processes and their Applications November 2014 124(11):3553-3577