Catalytic Discrete State Branching Models and Related Limit Theorems

Zenghu Li () and Chunhua Ma ()
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Zenghu Li: Beijing Normal University
Chunhua Ma: Nankai University

Journal of Theoretical Probability, 2008, vol. 21, issue 4, 936-965

Abstract: Abstract Catalytic discrete state branching processes with immigration are defined as strong solutions of stochastic integral equations. We provide main limit theorems of those processes using different scalings. The class of limit processes of the theorems includes essentially all continuous state catalytic branching processes and spectrally positive regular affine processes.

Keywords: Catalytic branching process; Affine process; Immigration; White noise; Poisson random measure; Limit theorem; 60J35; 60J80; 60H20; 60K37 (search for similar items in EconPapers)
Date: 2008
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DOI: 10.1007/s10959-008-0161-y

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