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The Extinction Probability Era
2021We can search among the behavioral data for the earliest known primates, or ants, or sharks, or the lost trilobites, and speculate upon what constitutes lasting, biological success, and, simultaneously, plumb the earliest philosophical caveats in search of that which is most common to all ecological idealism. These primeval factors—in whatever specific
Michael Charles Tobias +1 more
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Algorithmic Approach to the Extinction Probability of Branching Processes
Methodology and Computing in Applied Probability, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hautphenne, Sophie +2 more
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WHEN IS IT MEANINGFUL TO ESTIMATE AN EXTINCTION PROBABILITY?
Ecology, 2000Recently Don Ludwig has shown that calculations of extinction probabilities based on currently available data are often meaningless due to the large uncertainty accompanying the estimates. Here we address two questions posed by his findings. Can one ever calculate extinction probabilities accurately? If so, how much data would be necessary?
John Fieberg, Stephen P. Ellner
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Asymptotic rates of growth of the extinction probability of a mutant gene
Journal of Mathematical Biology, 1992We prove that a result of Haldane (1927) that relates the asymptotic behaviour of the extinction probability of a slightly supercritical Poisson branching process to the mean number of offspring is true for a general Bienaymé-Galton-Watson branching process, provided that the second derivatives of the probability-generating functions converge uniformly
F. Hoppe
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Note on the extinction probability
Annals of Nuclear Energy, 2017Imre Pázsit +2 more
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Extinction probability, regularity and asymptotic growth of Markovian populations
Journal of Applied Probability, 1981The distribution of the maximum and the extinction probability for a Markovian population is derived. Asymptotic growth is described, using the sequence of sojourn times. A regularity criterion for the processes under consideration exists under certain assumptions.
Norbert Lenz
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Markovian Trees Subject to Catastrophes: Transient Features and Extinction Probability
, 2011 We study transient features and the extinction probability of a particular class of multitype Markovian branching processes called Markovian binary trees, subject at random epochs to catastrophes, controlled by a Markovian arrival process, and killing ...
S. Hautphenne, G. Latouche
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On the Probability of the Extinction of Families.
The Journal of the Anthropological Institute of Great Britain and Ireland, 1875The decay of the families of men who occupied conspicuous positions in past times has been a subject of frequent remark, and has given rise to various conjectures. It is not only the families of men of genius or those of the aristocracy who tend to perish, but it is those of all with whom history deals, in any way, even of such men as the burgesses of ...
Francis Galton, H. W. Watson
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Probability of Extinction in a Stochastic Competition
SIAM Journal on Applied Mathematics, 1977When noise is present, the outcome of the competition between two species is no longer a deterministic function of the initial population sizes. An approximate value is given for the probability that a specified species will become extinct, conditioned on the initial population sizes.
Mangel, Marc, Ludwig, Donald
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Extinction probability in peer-to-peer file diffusion
ACM SIGMETRICS Performance Evaluation Review, 2006Recent measurement studies [8] have shown that peer-to-peer (P2P) file sharing applications are the major traffic source in the Internet. P2P applications, such as eDonkey, Kazaa, or BitTorrent, form overlay networks on the application layer and offer its peers to download and share their files with other peers in a highly distributed way.
Sophie Hautphenne +2 more
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