Central Limit Theorems for Supercritical Superprocesses with Immigration

Li Wang ()
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Li Wang: Beijing University of Chemical Technology

Journal of Theoretical Probability, 2018, vol. 31, issue 2, 984-1012

Abstract: Abstract In this paper, we establish a central limit theorem for a large class of general supercritical superprocesses with immigration with spatially dependent branching mechanisms satisfying a second moment condition. This central limit theorem extends and generalizes the results obtained by Ren et al. (Stoch Process Appl 125:428–457, 2015). We first give laws of large numbers for supercritical superprocesses with immigration since there are few convergence results on immigration superprocesses, then based on these results, we establish the central limit theorem.

Keywords: Central limit theorem; Supercritical superprocess with immigration; Excursion measure; Primary 60J68; Secondary 60F05 (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1007/s10959-016-0736-y

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