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A Weak Limit Theorem for Generalized Jiřina Processes

Part of: Distribution theory - Probability Markov processes

Published online by Cambridge University Press:  14 July 2016

Yuqiang Li
Yuqiang Li*
Affiliation:
East China Normal University
*
∗ Postal address: School of Finance and Statistics, East China Normal University, Shanghai 200241, China. Email address: yqli@stat.ecnu.edu.cn
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Abstract

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In this paper we prove that a sequence of scaled generalized Jiřina processes can converge weakly to a nonlinear diffusion process with Lévy jumps under certain conditions.

Keywords

Generalized branching processesweak convergencenonlinear diffusion processes

MSC classification

Secondary: 60J80: Branching processes (Galton-Watson, birth-and-death, etc.) 60J60: Diffusion processes 60E07: Infinitely divisible distributions; stable distributions

Information

Type
Research Article
Information
Journal of Applied Probability , Volume 46 , Issue 2 , June 2009 , pp. 453 - 462
Copyright
Copyright © Applied Probability Trust 2009 

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