Results 151 to 160 of about 532 (176)

Stationary measures for multitype branching processes

Journal of Applied Probability, 1975
The multitype Galton-Watson process is considered both with and without immigration. Proofs are given for the existence of invariant measures and their uniqueness is examined by functional equation methods. Theorem 2.1 proves the uniqueness, under certain conditions, of solutions of a multidimensional Schröder equation.
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Multitype infinite-allele branching processes in continuous time

Journal of Applied Probability, 2017
AbstractWe introduce extensions to an infinite-allele branching process that allows for multiple types to exist alongside labels. We consider a Markov branching process and general branching process under different assumptions, and show asymptotic results about the growth of the labels as well as the frequency spectrum.
Thomas O. McDonald, Marek Kimmel
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A note on the multitype Markov branching process

Journal of Applied Probability, 1989
We consider a supercritical, p-dimensional Markov branching process (MBP). Based on the finite and the infinite lines of descent of particles of this p-dimensional MBP, we construct an associated 2p-dimensional process. We show that such a process is a 2p-dimensional, supercritical MBP.
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A multitype branching process model for blue-green algae

Mathematical Biosciences, 1997
In this article, a multitype branching process is proposed for the behavior of populations of linear clusters of cells. The main results concern the asymptotic cluster size distribution.
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A bisexual multitype branching process with applications in population genetics

The Bulletin of Mathematical Biophysics, 1972
A bisexual multiple branching process is studied. Consider a population with respect to three genotypes in both the female and male populations and let $$X(n) = \left\langle {X_1 (n), X_2 (n), X_3 (n)} \right\rangle and Y(n) = \left\langle {Y_1 (n), Y_2 (n), Y_3 (n ...
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Estimation theory for multitype branching processes

1986
We consider a p-type Galton-Watson process \( {\left\{ {{Z_n}} \right\}_{n \in {\Bbb N}}}\) i.e. Zn= (Zn(1)...Zn((p)), $$ {Z_n} = \left( {{Z_n}\left( 1 \right) \ldots {Z_n}\left( p \right)} \right),\;{Z_{n + 1}} = \mathop \Sigma \limits_{i = l}^p \mathop \Sigma \limits_{k = l}^{{Z_n}\left( i \right)} Z_{n,k}^{\left( i \right)}$$ where the \( {Z_{
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Multitype Branching Processes.

Journal of the American Statistical Association, 1973
Edward Pollak, Charles J. Mode
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Survival probabilities for some multitype branching processes in genetics

Journal of Mathematical Biology, 1992
Consider a positively regular, slightly supercritical branching process with K types. An approximation to the probability of survival of a line descended from a single individual of type i has recently been derived by Hoppe. If K is large, however, this approximation may not be easy to compute. A further approximation that is easily computable is given.
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Poisson random measures and supercritical multitype Markov branching processes

Stochastic Models, 2023
Maroussia Slavtchova-Bojkova
exaly  

Multitype weakly subcritical branching processes in random environment

Discrete Mathematics and Applications, 2021
Vladimir A Vatutin
exaly