Results 1 to 10 of about 272 (121)
Limiting Distributions for Multitype Branching Processes. [PDF]
Stoch Anal Appl, 2010 In this paper the asymptotic behavior of multitype Markov branching processes with discrete or continuous time is investigated in the positive regular and nonsingular case when both the initial number of ancestors and the time tend to infinity. Some limiting distributions are obtained as well as multivariate asymptotic normality is proved.
Yakovlev AY, Yanev NM.
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MULTITYPE BRANCHING PROCESSES WITH INHOMOGENEOUS POISSON IMMIGRATION. [PDF]
Adv Appl Probab, 2018 Abstract In this paper we introduce multitype branching processes with inhomogeneous Poisson immigration, and consider in detail the critical Markov case when the local intensity r(t) of the Poisson random measure is a regularly varying function. Various multitype limit distributions (conditional and unconditional) are obtained depending on the rate at
Mitov KV, Yanev NM, Hyrien O.
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On aggregation of multitype Galton–Watson branching processes with immigration [PDF]
Modern Stochastics: Theory and Applications, 2018 Limit behaviour of temporal and contemporaneous aggregations of independent copies of a stationary multitype Galton–Watson branching process with immigration is studied in the so-called iterated and simultaneous cases, respectively.
Mátyás Barczy +2 more
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On multitype branching processes with interaction
StochasticsMotivated by the stochastic Lotka-Volterra model, we introduce discrete-state interacting multitype branching processes. We show that they can be obtained as the sum of a multidimensional random walk with a Lamperti-type change proportional to the population size; and a multidimensional Poisson process with a time-change proportional to the pairwise ...
Maria Clara Fittipaldi, Sandra Palau
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Inequalities for Multitype Branching Processes
Annals of Probability, 1973 Some results of the paper "Inequalities for Branching Processes" [Ann. Prob. 1 (1973)] by the same author are extended to a multitype branching process. Bounds are obtained on the probability of extinction and mean time to extinction of the process when the probability transition laws are allowed to vary from period to period and are required only to ...
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Relative frequencies in multitype branching processes
Annals of Applied Probability, 2009 Published in at http://dx.doi.org/10.1214/08-AAP539 the Annals of Applied Probability (http://www.imstat.org/aap/) by the Institute of Mathematical Statistics (http://www.imstat.org)
Nikolay M Yanev
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Demographic Dynamics in Multitype Populations with Migrations
Mathematics, 2021 This research work deals with mathematical modeling in complex biological systems in which several types of individuals coexist in various populations. Migratory phenomena among the populations are allowed.
Manuel Molina-Fernández +1 more
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Generating Functions of Stochastic L-Systems and Application to Models of Plant Development [PDF]
Discrete Mathematics & Theoretical Computer Science, 2008 If the interest of stochastic L-systems for plant growth simulation and visualization is broadly acknowledged, their full mathematical potential has not been taken advantage of.
Cedric Loi, Paul Henry Cournède
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Identification of multitype branching processes [PDF]
The Annals of Statistics, 2000 We solve the problem of constructing an asymptotic global confidence region for the means and the covariance matrices of the reproduction distributions involved in a supercritical multitype branching process. Our approach is based on a central limit theorem associated with a quadratic law of large numbers performed by the maximum likelihood or the ...
Maaouia, F., Touati, A.
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The formal demography of kinship VI: Demographic stochasticity and variance in the kinship network [PDF]
Demographic ResearchBACKGROUND: Although the matrix model for kinship networks includes many demographic processes, it is deterministic. It provides values of age-stage distributions of kin, but no information on (co)variances. Because kin populations are small, demographic
Hal Caswell
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