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An asymptotic expansion for the expectation of an age-dependent branching process with a submultiplicative estimate of the remainder
Published online by Cambridge University Press: 14 July 2016
Abstract
An asymptotic expansion for the expected number, μ(t), of particles of an age-dependent branching process is obtained with a general submultiplicative estimate for the remainder term. The influence of the roots of the characteristic equation on the asymptotic behaviour of μ(t) is taken into account.
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- Copyright © by the Applied Probability Trust 2001
Footnotes
This research was supported by Grant 99-01-00504 of the Russian Foundation of Basic Research.