Poisson random measures and critical Sevastyanov branching processes

We consider critical Sevastyanov branching processes with immigration at random time-points generated by a Poisson random measure with a local intensity for some slowly varying function The asymptotic behavior of the probability of non-extinction is studied and conditional limiting distributions of...

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Veröffentlicht in:	Stochastic models 2019-04, Vol.35 (2), p.197-208
Hauptverfasser:	Slavtchova-Bojkova, Maroussia, Yanev, Nikolay M.
Format:	Artikel
Sprache:	eng
Schlagworte:	Asymptotic properties Branching (mathematics) Branching processes immigration limiting distributions Markov processes Poisson random measures Primary 60J80 Random variables Secondary 60F05
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Zusammenfassung:	We consider critical Sevastyanov branching processes with immigration at random time-points generated by a Poisson random measure with a local intensity for some slowly varying function The asymptotic behavior of the probability of non-extinction is studied and conditional limiting distributions of the processes with proper normalization are obtained.
ISSN:	1532-6349 1532-4214
DOI:	10.1080/15326349.2019.1600411