LIMIT-THEOREMS FOR THE TOTAL NUMBER OF DESCENDANTS FOR THE GALTON-WATSON BRANCHING-PROCESS

被引：5

作者：

KARPENKO, AV ^{[1
]}

NAGAEV, SV ^{[1
]}

机构：

[1] SIBERIAN MATH INST, 690090 NOVOSIBIRSK, RUSSIA

来源：

THEORY OF PROBABILITY AND ITS APPLICATIONS | 1993年 / 38卷 / 03期

关键词：

THE GALTON-WATSON BRANCHING PROCESSES; PROCESSES CLOSE TO CRITICAL ONES; DEGENERACY; ASYMPTOTIC BEHAVIOR OF THE TOTAL NUMBER OF DESCENDANTS;

D O I：

10.1137/1138041

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：

The main results of the present paper deal with the asymptotic behavior of the conditional distribution for the whole number of descendants S(n) of a single particle in the Galton-Watson process with respect to the condition that the process degenerates at time n and the expectation for the number of particles generated by one particle tends to 1 as n --> infinity.

引用

页码：433 / 455

页数：23

共 19 条

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[3]

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[4]

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[5]

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[6]

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[10]

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