Results 91 to 100 of about 587 (192)
Critical multitype branching processes with infinite variance
, 1978 The exponential limit law for the critical multitype Bienayme-Galton-Watson process is extended to a class of offspring distributions some or all of whose second moments are infinite. Several asymptotic consequences pertaining to transition probabilities
Hoppe, Fred M. +3 more
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Supercritical multitype branching processes: the ancestral types of typical individuals
, 2003 Georgii H-O, Baake E. Supercritical multitype branching processes: the ancestral types of typical individuals. Adv. Appl. Prob. 35 (2003), 1090-1110. 2003.For supercritical multitype branching processes in continuous time, weinvestigate the evolution of ...
Georgii, Hans-Otto, Baake, Ellen
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Using Inside-Outside Algorithm for Estimation of the Offspring Distribution in Multitype Branching Processes [PDF]
, 2010 Multitype branching processes (MTBP) model branching structures, where the nodes of the resulting tree are particles of different types. Usually such a process is not observable in the sense of the whole tree, but only as the “generation” at a given ...
Daskalova, Nina
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The supercritical multitype age-dependent branching process
, 1975 Let X(t) = (X1(t),…, Xp(t)) be a p-dimensional supercritical age-dependent branching process. For an appropriate α > 0, necessary and sufficient conditions are found for X(t) e−αt to converge to a nondegenerate random vector W.
Kaplan, Norman
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The demographic variation process of multitype branching random fields
A system of particles of k types in Rd is considered, where each particle, depending on its type, migrates and lives a random amount of time, at the end of which it branches according to a multitype law.
Lopez-Mimbela, J. Alfredo +1 more
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Robust Estimation in Multitype Branching Processes Based on their Asymptotic Properties [PDF]
, 2011 2000 Mathematics Subject Classification: 60J80.In this work we propose two procedures for robust estimation of the individual distributions of multitype discrete-time Galton-Watson branching processes with an increasing number of ancestors, using the ...
Atanasov, Dimitar, Stoimenova, Vessela
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A general multitype branching process with age, memory and population dependence
, 2010 We present a general class of multitype branching processes in discrete time with age, memory and population dependent individual transitions. Except in simple particular cases, the asymptotic behavior of this general process, as the time tends to ...
Jacob, Christine
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Beyond the Q-process: various ways of conditioning the multitype Galton-Watson process
, 2016 International audienceConditioning a multitype Galton-Watson process to stay alive into the indefinite future leads to what is known as its associated Q-process. We show that the same holds true if the process is conditioned to reach a positive threshold
Pénisson, Sophie
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Multitype population size-dependent branching processes with dependent offspring
In this paper, the multitype population size-dependent branching process with dependent offspring is introduced and the probability of extinction of such a process is investigated. Sufficient conditions for both almost sure extinction and survival of the
Martínez, Rodrigo +2 more
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, 2000 An integral test (Theorem 5) is established for the dichotomy concerning local extinction and survival (even persistence) at late times for critical multitype spatially homogeneous branching particle systems in continuous time.
Vatutin, Vladimir A., Fleischmann, Klaus
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