Institute of Mathematics and Informatics at the Bulgarian Academy of Sciences
Pliska Studia Mathematica Bulgarica, Vol. 27, No 1, (2017), 73p-90p
In this paper we propose and study three new classes of alternating regenerative (AR) branching processes. Limiting distributions are obtained for AR Sevastyanov processes, for AR Sevastyanov processes with non-homogeneous Poisson immigration and for AR randomly indexed branching processes. All these processes are investigated applying renewal and regenerative methods developed in Mitov and Yanev [16, 17]. 2010 Mathematics Subject Classification: 60J80, 60K05.
[Mitov Kosto V.; Митов Косто В.]; [Yanev Nikolay M.; Janev N. M.; Janev Nikolaj; Янев Николай М.]