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July, 1989 Donsker's Invariance Principle for Lie Groups
Joseph C. Watkins
Ann. Probab. 17(3): 1220-1242 (July, 1989). DOI: 10.1214/aop/1176991265

Abstract

This paper establishes a functional central limit theorem for Lie groups under a mixing hypothesis. The main theorem generalizes results by Patrick Billingsley for Euclidean space and the author for the general linear group.

Citation

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Joseph C. Watkins. "Donsker's Invariance Principle for Lie Groups." Ann. Probab. 17 (3) 1220 - 1242, July, 1989. https://doi.org/10.1214/aop/1176991265

Information

Published: July, 1989
First available in Project Euclid: 19 April 2007

zbMATH: 0688.60003
MathSciNet: MR1009453
Digital Object Identifier: 10.1214/aop/1176991265

Subjects:
Primary: 60B15
Secondary: 60F05 , 60F17 , 60G10 , 60J30

Keywords: functional central limit theorem , invariance principle in distribution , Lie groups , Martingale problem , Mixing

Rights: Copyright © 1989 Institute of Mathematical Statistics

Vol.17 • No. 3 • July, 1989
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