On L 2 -convergence of controlled branching processes with random control function

The topic of this paper is Yanev's class of controlled branching processes with a random control function. We investigate the L2-convergence of the suitably normed process to a non-degenerate limit. Necessary and sufficient conditions for this convergence are established under certain constrain...

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Bibliographic Details
Published in:Bernoulli : official journal of the Bernoulli Society for Mathematical Statistics and Probability 2005-02, Vol.11 (no. 1), p.37-46
Main Authors: González, Miguel, Molina, Manuel, Del Puerto, Inés
Format: Article
Language:English
Subjects:
controlled branching processes
L_2-convergence
Online Access:Get full text
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Summary:The topic of this paper is Yanev's class of controlled branching processes with a random control function. We investigate the L2-convergence of the suitably normed process to a non-degenerate limit. Necessary and sufficient conditions for this convergence are established under certain constraints on the means and variances of the control variables.
DOI:10.3150/bj/1110228241