Central limit theorems for supercritical superprocesses with immigration

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Publication:1661590

DOI10.1007/S10959-016-0736-YzbMATH Open1430.60065arXiv1612.03389OpenAlexW2566057629MaRDI QIDQ1661590

Author name not available (Why is that?)

Publication date: 16 August 2018

Published in: (Search for Journal in Brave)

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, Song and Zhang[2015]. We first give law of large numbers for supercritical superprocesses with immigration since there is few convergence result on immigration superprocesses, then based on these results, we establish the central limit theorem.


Full work available at URL: https://arxiv.org/abs/1612.03389



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