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arXiv:1308.0549 [math.PR]AbstractReferencesReviewsResources

Asymptotic behaviour near extinction of continuous state branching processes

Juan Carlos Pardo, Gabriel Berzunza

Published 2013-08-02Version 1

In this note, we study the asymptotic behaviour near extinction of (sub-) critical continuous state branching processes. In particular, we establish an analogue of Khintchin's law of the iterated logarithm near extinction time for a continuous state branching process whose branching mechanism satisfies a given condition and its reflected process at its infimum.

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