Results 1 to 10 of about 587 (192)
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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Modeling cryptosporidiosis in humans and cattle: Deterministic and stochastic approaches [PDF]
Parasite Epidemiology and Control, 2023 Cryptosporidiosis is a zoonotic disease caused by Cryptosporidium. The disease poses a public and veterinary health problem worldwide. A deterministic model and its corresponding continuous time Markov chain (CTMC) stochastic model are developed and ...
Faraja Luhanda +2 more
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Sequential mutations in exponentially growing populations. [PDF]
PLoS Computational Biology, 2023 Stochastic models of sequential mutation acquisition are widely used to quantify cancer and bacterial evolution. Across manifold scenarios, recurrent research questions are: how many cells are there with n alterations, and how long will it take for these
Michael D Nicholson +2 more
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Limiting Distributions for Multitype Branching Processes [PDF]
Stochastic Analysis and Applications, 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.
Nikolay M Yanev
exaly +3 more sources
Predicting time to relapse in acute myeloid leukemia through stochastic modeling of minimal residual disease based on clonality data [PDF]
Computational and Systems Oncology, 2021 Event‐free and overall survival remain poor for patients with acute myeloid leukemia. Chemoresistant clones contributing to relapse arise from minimal residual disease (MRD) or newly acquired mutations.
Khanh N. Dinh +3 more
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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.
europepmc +5 more sources
Critical Multitype Branching Processes
Annals of Probability, 1982 A general multitype branching process in which individuals are counted according to some possibly type-dependent characteristic may be defined along the lines laid out by Jagers (1969, 1974) for the single type process. In the critical case, the probability of nonextinction at time $t$ is shown to be $O(t^{-1})$, and, conditioned on nonextinction at ...
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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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On subcritical multi-type branching process in random environment [PDF]
Discrete Mathematics & Theoretical Computer Science, 2008 We investigate a multi-type Galton-Watson process in a random environment generated by a sequence of independent identically distributed random variables.
Elena Dyakonova
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Survival probability of a critical multi-type branching process in random environment [PDF]
Discrete Mathematics & Theoretical Computer Science, 2006 We study a multi-type branching process in i.i.d. random environment. Assuming that the associated random walk satisfies the Doney-Spitzer condition, we find the asymptotics of the survival probability at time $n$ as $n \to \infty$.
Elena Dyakonova
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