Central limit theorems for supercritical superprocesses
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Publication:2512841
DOI10.1016/J.SPA.2014.09.014zbMATH Open1325.60019arXiv1310.5410OpenAlexW2018144437MaRDI QIDQ2512841
Author name not available (Why is that?)
Publication date: 30 January 2015
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 spatially dependent branching mechanisms satisfying a second moment condition. This central limit theorem generalizes and unifies all the central limit theorems obtained recently in Mi{l}o'{s} (2012, arXiv:1203:6661) and Ren, Song and Zhang (2013, to appear in Acta Appl. Math., DOI 10.1007/s10440-013-9837-0) for supercritical super Ornstein-Uhlenbeck processes. The advantage of this central limit theorem is that it allows us to characterize the limit Gaussian field. In the case of supercritical super Ornstein-Uhlenbeck processes with non-spatially dependent branching mechanisms, our central limit theorem reveals more independent structures of the limit Gaussian field.
Full work available at URL: https://arxiv.org/abs/1310.5410
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