Abstract
This paper is concerned with the study of functional limit theorems constructed from multiple generations of a supercritical branching process. The results we present include infinite dimensional functional laws of Strassen and Chung-Wichura type in the space (C0[0, 1])∞.
Information
Published: 1 January 2009
First available in Project Euclid: 2 February 2010
zbMATH: 1243.60029
MathSciNet: MR2797945
Digital Object Identifier: 10.1214/09-IMSCOLL510
Subjects:
Primary:
60F10
,
60F17
,
60J80
Keywords:
Chung-Wichura functional LIL
,
multi-generational limit theorems
,
small ball probabilities
,
Strassen functional LIL
Rights: Copyright © 2009, Institute of Mathematical Statistics
