Limiting behavior of a generalized branching process with immigration

I. Rahimov and W.S. Al-Sabah

Statistics & Probability Letters, 2008, vol. 78, issue 3, 225-230

Abstract: In the paper a modification of the branching process with continuous states, introduced by Adke and Gadag [1995. A new class of branching processes. Branching Processes. In: Proceedings of the First World Congress, Lecture Notes in Statistics, Springer, Berlin, vol. 99, pp. 90-105] is considered. Theorems establishing connection between asymptotic behavior of this process and the Bienaymé-Galton-Watson process are proved. Applications in the case of the process without and with stationary immigration are provided.

Keywords: Counting; process; Branching; process; Immigration; Independent; increment; Stationary (search for similar items in EconPapers)
Date: 2008
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