On the geometric growth in controlled branching processes with random control function-Reference-Cited by-同舟云学术

On the geometric growth in controlled branching processes with random control function

Published:2003-09 Issue:4 Volume:40 Page:995-1006
ISSN:0021-9002
Container-title:Journal of Applied Probability
language:en
Short-container-title:Journal of Applied Probability

Author:

González M.,Molina M.,del Puerto I.

Abstract

The limit behaviour of a controlled branching process with random control function is investigated. A necessary condition and a sufficient condition for the geometric growth of such a process are established by considering the L1-convergence. Finally, taking into account the classical X log+X criterion in branching processes, a necessary and sufficient condition is provided.

Publisher

Cambridge University Press (CUP)

Subject

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

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