An asymptotic expansion for the expectation of an age-dependent branching process with a submultiplicative estimate of the remainder

被引：1

作者：

Sgibnev, MS ^{[1
]}

机构：

[1] Sobolev Inst Math, Novosibirsk, Russia

来源：

JOURNAL OF APPLIED PROBABILITY | 2001年 / 38卷 / 03期

关键词：

branching process; age dependence; expectation; asymptotic behaviour; submultiplicative function; Malthusian parameter; characteristic equation; Laplace transform; renewal theorem; absolutely continuous part;

D O I：

10.1017/S0021900200018982

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

An asymptotic expansion for the expected number, mu (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 mu (t) is taken into account.

引用

页码：807 / 814

页数：8

共 9 条

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[J]. STATISTICS & PROBABILITY LETTERS, 1997, 32 (04) : 377 - 383
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Sgibnev, MS
[J]. STUDIA MATHEMATICA, 2000, 140 (01) : 41 - 55
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[9] VANDERGENUGTEN BB, 1969, COMPOS MATH, V21, P331

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