Recurrence of Markov branching processes with immigration

Anyue Chen and Eric Renshaw

Stochastic Processes and their Applications, 1993, vol. 45, issue 2, 231-242

Abstract: We derive criteria for assessing the recurrence and positive-recurrence of Markov branching processes with immigration. Although our method is designed to tackle the instantaneous immigration case investigated in Chen and Renshaw (1990), this new approach can also be applied to the stable immigration case previously considered by Yamazato (1975) and others.

Keywords: Markov; branching; process; instantaneous; immigration; stable; immigration; recurrence; positive-recurrence (search for similar items in EconPapers)
Date: 1993
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