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Limit theorems for bounded branching processes

  • Gleb K. Kobanenko EMAIL logo
Published/Copyright: October 26, 2018

Abstract

The conditions under which the nonextincting trajectories of a discrete time bounded branching process with probability 1: either only finitely many times hit the upper boundary, either infinitely often hit the upper boundary, or coincide with the upper boundary after some random moment


Originally published in Diskretnaya Matematika (2017) 29, №2, 18–28 (in Russian).


Acknowledgement

The author is indebted to A.M.Zubkov for the problem statement and constructive discussions.

References

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Received: 2017-02-17
Published Online: 2018-10-26
Published in Print: 2018-10-25

© 2018 Walter de Gruyter GmbH, Berlin/Boston

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