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pro vyhledávání: '"J. D. Biggins"'
Autor:
J. D. Biggins, A. Rahimzadeh Sani
Publikováno v:
Advances in Applied Probability. 37:681-705
We consider a multi-type branching random walk on d-dimensional Euclidian space. The~uniform convergence, as n goes to infinity, of a scaled version of the Laplace transform of the point process given by the nth generation particles of each type is o
Autor:
J. D. Biggins, N. H. Bingham
Publikováno v:
Advances in Applied Probability. 25:757-772
The tail behaviour of the limit of the normalized population size in the simple supercritical branching process, W, is studied. Most of the results concern those cases when a tail of the distribution function of W decays exponentially quickly. In ess
Autor:
J. D. Biggins
Publikováno v:
Theory of Probability & Its Applications. 37:269-273
Publikováno v:
Evolution; international journal of organic evolution. 58(2)
In many animals reproductive success is determined after insemination by the interaction of male and female processes. While sperm competition is reasonably well understood in some taxa, other processes, such as cryptic female choice and differential
Autor:
J. D. Biggins, J. C. D’Souza
Publikováno v:
Theory of Probability & Its Applications. 37:171-172
Autor:
J. D. Biggins, P. Guttorp
Publikováno v:
Journal of the Royal Statistical Society. Series A (Statistics in Society). 155:474
Autor:
J. D. Biggins, D. R. Grey
Publikováno v:
Journal of Applied Probability. 16:740-749
There are some martingales associated with the branching random walk which are natural generalizations of the classical martingale occurring in the Galton–Watson process. Some continuity properties of the distributions of their limits are discussed
Autor:
J. D. Biggins
Publikováno v:
Advances in Applied Probability. 10:62-84
In a supercritical branching random walk on R p , a Galton–Watson process with the additional feature that people have positions, let be the set of positions of the nth-generation people, scaled by the factor n –1. It is shown that when the proce
Autor:
J. D. Biggins, Thomas Götz
Publikováno v:
Journal of Applied Probability. 24:304-314
A Malthusian parameter for the generation-dependent general branching process is introduced and some asymptotics of the expected population size, counted by a general non-negative characteristic, are discussed. Processes both with and without immigra