Fluctuation limit theorems of immigration superprocesses with small branching

Zenghu Li and Mei Zhang

Statistics & Probability Letters, 2006, vol. 76, issue 4, 401-411

Abstract: We establish fluctuation limit theorems of immigration superprocesses with small branching rates. The weak convergence of the processes on a Sobolev space is established, which improves the result of Gorostiza and Li (High density fluctuations of immigration branching particle systems. In: Gorostiza, L.G., Ivanoff, B.G. (Eds.), Stochastic Models, (Ottawa, Ontario, 1998), CMS Conference Proceedings 2000, Series vol. 26, American Mathematical Society, Providence, RI, pp. 159-171). The limiting processes are infinite-dimensional Ornstein-Uhlenbeck type processes.

Keywords: Immigration; superprocess; Fluctuation; limit; Tightness; Weak; convergence; Schwartz; space; Sobolev; space (search for similar items in EconPapers)
Date: 2006
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