Controlled Branching Processes With Continuous Time

Miguel González,Manuel Molina,Ines del Puerto,Nikolay M. Yanev,George P. Yanev

JOURNAL OF APPLIED PROBABILITY（2021）

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摘要

A class of controlled branching processes with continuous time is introduced and some limiting distributions are obtained in the critical case. An extension of this class as regenerative controlled branching processes with continuous time is proposed and some asymptotic properties are considered.

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关键词

Controlled branching process, renewal process, regenerative process, random time change, limit theorem

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