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Estimates of the extinction probability of the Galton-Watson process

Authors :
V. V. Goryainov
Source :
Ukrainian Mathematical Journal. 47:341-343
Publication Year :
1995
Publisher :
Springer Science and Business Media LLC, 1995.

Abstract

We generalize Quine's result on the convergence of the extinction probability of the supercritical Galton-Watson process to one if the average number of offsprings tends to one without any restrictions on factorial moments.

Subjects

Subjects :
Factorial
Mathematics::Probability
Extinction probability
General Mathematics
Convergence (routing)
Statistics
Quantitative Biology::Populations and Evolution
Applied mathematics
Quine
Algebra over a field
Galton–Watson process
Mathematics
Factorial moment

Details

ISSN :
15739376 and 00415995
Volume :
47
Database :
OpenAIRE
Journal :
Ukrainian Mathematical Journal
Accession number :
edsair.doi...........ea829a7018c62e24d2e712b6e332caed
Full Text :
https://doi.org/10.1007/bf01056724
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