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Advances in Applied Probability, ISSN 0001-8678, 12/2018, Volume 50, Issue A, pp. 211 - 228
In this paper we introduce multitype branching processes with inhomogeneous Poisson immigration, and consider in detail the critical Markov case when the local... 
limit distribution | Multitype branching process | immigration | inhomogeneous Poisson process | STATISTICS & PROBABILITY | Markov processes | Immigration | Fractals | Branching (mathematics) | Poisson distribution | Asymptotic properties
Journal Article
Journal of Applied Probability, ISSN 0021-9002, 06/2018, Volume 55, Issue 2, pp. 450 - 458
We consider a supercritical branching process (Z(n), n >= 0) with offspring distribution (p(k), k >= 0) satisfying p(0) = 0 and p(1) > 0. By applying the... 
Self-normalized large deviation | multitype branching process | supercritical branching process | RATES | STATISTICS & PROBABILITY | Deviation | Random variables
Journal Article
Theory of Probability and its Applications, ISSN 0040-585X, 2015, Volume 59, Issue 4, pp. 663 - 672
Journal Article
Stochastic Processes and their Applications, ISSN 0304-4149, 03/2019, Volume 129, Issue 3, pp. 713 - 739
We consider the extinction events of Galton–Watson processes with countably infinitely many types. In particular, we construct truncated and augmented... 
Multitype branching process | Pathwise approach | Extinction criterion | Extinction probability | SURVIVAL | RANDOM-WALKS | MATRICES | STATISTICS & PROBABILITY | ERGODIC PROPERTIES | Mass extinction theory
Journal Article
Journal of Applied Probability, ISSN 0021-9002, 06/2017, Volume 54, Issue 2, pp. 550 - 568
We introduce extensions to an infinite-allele branching process that allows for multiple types to exist alongside labels. We consider a Markov branching... 
infinite-allele model | Multitype branching process | VERSION | STATISTICS & PROBABILITY | EVOLUTION | Frequency spectrum | Markov chains | Labels | Branching (mathematics) | Mutation | Passengers
Journal Article
Journal of Applied Probability, ISSN 0021-9002, 9/2016, Volume 53, Issue 3, pp. 802 - 817
Consider a d-type (d < ∞) Galton-Watson branching process, conditioned on the event that there are at least k ≥ 2 individuals in the nth generation, pick k... 
Mathematical theorems | Random variables | Branching process | Critical | Multitype | Subcritical | Coalescence | Line of descent | coalescence | line of descent | critical | subcritical | STATISTICS & PROBABILITY | multitype
Journal Article
SIAM Journal on Computing, ISSN 0097-5397, 2017, Volume 46, Issue 5, pp. 1515 - 1553
Journal Article
Theoretical Population Biology, ISSN 0040-5809, 03/2018, Volume 120, pp. 52 - 61
A population genetics model based on a multitype branching process, or equivalently a Galton–Watson branching process for multiple alleles, is presented. The... 
Multitype branching process | Galton–Watson | Mutation | Galton-Watson | BENEFICIAL MUTATIONS | MITOCHONDRIAL GENOMES | EVOLUTIONARY BIOLOGY | PROBABILITY | EVOLUTION | GENETICS & HEREDITY | MATHEMATICAL & COMPUTATIONAL BIOLOGY | DYNAMICS | ECOLOGY | SELECTION | GENETIC DRIFT | Genetics, Population | Animals | Computer Simulation | Humans | Alleles | Mutation Rate | Models, Genetic
Journal Article
Theory of Probability and its Applications, ISSN 0040-585X, 2015, Volume 59, Issue 4, pp. 545 - 566
We study a catalytic branching process (CBP) with any finite set of catalysts. This model describes a system of particles where motion is governed by a Markov... 
Catalytic branching process | Hitting times under taboo | Multitype Bellman–Harris process | Classification | Moment analysis | catalytic branching process | hitting times under taboo | HARRIS | RANDOM-WALK | STATISTICS & PROBABILITY | classification | moment analysis | multitype Bellman-Harris process
Journal Article
Journal of Statistical Physics, ISSN 0022-4715, 4/2016, Volume 163, Issue 2, pp. 393 - 410
Journal Article
Advances in Applied Probability, ISSN 0001-8678, 06/2015, Volume 47, Issue 2, pp. 530 - 544
Skeletons of branching processes are defined as trees of lineages characterized by an appropriate signature of future reproduction success. In the... 
birth and death process | decomposable multitype branching process | 92D25 | Bienaymé-Galton-Watson process | escape from extinction | 60J80 | Evolutionary Dynamics | Sannolikhetsteori och statistik | Decomposable Multitype Branching | Bienayme-Galton-Watson process | Probability Theory and Statistics
Journal Article
Stochastic Models, ISSN 1532-6349, 07/2019, Volume 35, Issue 3, pp. 269 - 283
In this paper, we consider a variant of a discrete time Galton-Watson Branching Process in which an individual is allowed to survive for more than one (but... 
discrete time multitype branching processes | criticality | ancestors | Age structure | STATISTICS & PROBABILITY
Journal Article
Journal of Applied Probability, ISSN 0021-9002, 09/2012, Volume 49, Issue 3, pp. 639 - 651
We focus on supercritical decomposable (reducible) multitype branching processes. Types are partitioned into irreducible equivalence classes. In this context,... 
Decomposable branching process | Multitype branching process | Extinction probability | Extinction criteria | 60J10 | extinction criteria | decomposable branching process | extinction probability | 60J80
Journal Article
Journal of Applied Probability, ISSN 0021-9002, 9/2012, Volume 49, Issue 3, pp. 639 - 651
We focus on supercritical decomposable (reducible) multitype branching processes. Types are partitioned into irreducible equivalence classes. In this context,... 
Equivalence relation | Mass extinction events | Sufficient conditions | Descendants | Generating function | Population size | Mathematical constants | Mathematical vectors | Mathematics | Matrices | Multitype branching process | extinction criteria | STATISTICS & PROBABILITY | GALTON-WATSON PROCESSES | decomposable branching process | extinction probability
Journal Article
Statistics and Probability Letters, ISSN 0167-7152, 10/2014, Volume 93, pp. 87 - 95
We consider the small value probability of a supercritical multi-type branching process with immigration . It is well known that with a suitable normalization,... 
Immigration | Small value probability | Multitype | Branching processes | STATISTICS & PROBABILITY | Emigration and immigration
Journal Article
Advances in Applied Probability, ISSN 0001-8678, 12/2013, Volume 45, Issue 4, pp. 1068 - 1082
We present two iterative methods for computing the global and partial extinction probability vectors for Galton-Watson processes with countably infinitely many... 
Multitype branching process | Iterative method | Extinction probability | Extinction criteria | extinction criteria | extinction probability | 60J80 | 60J05 | 65H10 | iterative method | 60J22
Journal Article
Advances in Applied Probability, ISSN 0001-8678, 12/2013, Volume 45, Issue 4, pp. 1068 - 1082
We present two iterative methods for computing the global and partial extinction probability vectors for Galton-Watson processes with countably infinitely many... 
Sufficient conditions | Approximation | Generating function | Conditional probabilities | Random walk | General Applied Probability | Population size | Mathematical vectors | Matrices | Mathematics | Truncation | Multitype branching process | extinction criteria | extinction probability | RANDOM-WALKS | STATISTICS & PROBABILITY | iterative method | RANDOM ENVIRONMENT
Journal Article
Annals of Nuclear Energy, ISSN 0306-4549, 02/2018, Volume 112, Issue C, pp. 307 - 321
This paper provides a prediction method of the generation-to-generation correlations as observed when solving large scale eigenvalue problems such as full core... 
Multitype Branching Processes | Variance estimate | Monte Carlo | Auto-correlation prediction | NUCLEAR SCIENCE & TECHNOLOGY | Monte Carlo method | Analysis | Nuclear facilities
Journal Article
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