Bounds for Certain Branching Processes-Reference-Cited by-同舟云学术

Bounds for Certain Branching Processes

Published:1969-04 Issue:1 Volume:6 Page:201-204
ISSN:0021-9002
Container-title:Journal of Applied Probability
language:en
Short-container-title:Journal of Applied Probability

Author:

Pollak Edward

Abstract

SummaryWe consider a branching process for which the offspring distribution has the generating function f(t) and mean f'(1) = m < 1. The probability that a line descended from an individual still survives in generation n is asymptotically of the form cmn. A method is derived whereby good bounds for c may be obtained. This method makes use of the first three moments of the distribution of offspring.

Publisher

Cambridge University Press (CUP)

Subject

Statistics, Probability and Uncertainty,General Mathematics,Statistics and Probability

Reference4 articles.

1. The Theory of Branching Processes

2. Inequalities for branching processes

3. On the transient behaviour of a Poisson branching process

4. Zur Lösung einer biologischen Aufgabe;Kolmogorov;Comm. Math. Mech. Chebychev Univ., Tomsk.,1938

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