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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On multitype branching processes in a random environment
Advances in Applied Probability, 1981 This paper is concerned with the growth of multitype branching processes in a random environment (mbpre). It is shown that, under suitable regularity conditions, the process either explodes of becomes extinct. A classification theorem is given delineating the cases of explosion or extinction.
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Branching Processes: Optimization, Variational Characterization, and Continuous Approximation
, 2010 In this thesis, we use multitype Galton-Watson branching processes in random environments as individual-based models for the evolution of structured populations with both demographic stochasticity and environmental stochasticity, and investigate the ...
Wang, Ying
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Branching Processes with Immigration and Integer-valued Time Series [PDF]
, 1995 In this paper, we indicate how integer-valued autoregressive time series Ginar(d) of ordre d, d ≥ 1, are simple functionals of multitype branching processes with immigration.
Dion, J. +5 more
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MODELLING A MULTITYPE BRANCHING BROWNIAN MOTION: FILTERING OF A MEASURE-VALUED PROCESS
, 2006 In the framework of marked trees, a multitype branching brownian motion, described by measure-valued processes, is studied. By applying the strong branching property, the Markov property and the expression of the generator are derived for the process ...
A. GERARDI, CECI, Claudia
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Modeling cryptosporidiosis in humans and cattle: Deterministic and stochastic approaches. [PDF]
Parasite Epidemiol Control, 2023 Luhanda F, Irunde JI, Kuznetsov D.
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Estimation of Discrete Partially Directed Acyclic Graphical Models in Multitype Branching Processes
, 2014 International audienceWe address the inference of discrete-state models for tree-structured data. Our aim is to introduce parametric multitype branching processes that can be efficiently estimated on the basis of data of limited size.
Fernique, Pierre +2 more
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Extreme values of spatial branching processes
, 2021 Dans cette thèse, on s'intéresse aux valeurs extrêmes de certains processus de branchement spatiaux tels que la marche aléatoire branchante et le mouvement Brownien branchant.
Belloum, Mohamed Ali
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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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Bistability in deterministic and stochastic SLIAR-type models with imperfect and waning vaccine protection. [PDF]
J Math Biol, 2022 Arino J, Milliken E.
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