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An asymptotic expansion for the expectation of an age-dependent branching process with a submultiplicative estimate of the remainder
M. S. Sgibnev
Source: J. Appl. Probab. Volume 38, Number 3
(2001), 807-814.
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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Keywords: Branching process; age dependence; expectation; asymptotic behaviour; submultiplicative function; Malthusian parameter; characteristic equation; Laplace transform; renewal theorem; absolutely continuous part
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.jap/1005091046
Digital Object Identifier: doi:10.1239/jap/1005091046
Mathematical Reviews number (MathSciNet): MR1860220
Zentralblatt MATH identifier: 1004.60083
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Journal of Applied Probability
