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A note on two-level superprocesses

Part of: Markov processes Limit theorems

Published online by Cambridge University Press:  14 July 2016

Wen-Ming Hong
Wen-Ming Hong*
Affiliation:
Beijing Normal University
*
∗ Postal address: Department of Mathematics, Beijing Normal University, Beijing 100875, P. R. China. Email address: [email protected]
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Abstract

We prove some central limit theorems for a two-level super-Brownian motion with random immigration, which lead to limiting Gaussian random fields. The covariances of those Gaussian fields are explicitly characterized.

Keywords

Super-Brownian motiontwo-level superprocessrandom immigrationcentral limit theorem

MSC classification

Primary: 60J80: Branching processes (Galton-Watson, birth-and-death, etc.)
Secondary: 60F05: Central limit and other weak theorems
Type
Research Papers
Information
Journal of Applied Probability , Volume 41 , Issue 1 , March 2004 , pp. 202 - 210
Copyright
Copyright © Applied Probability Trust 2004 

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