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April, 1978 Stopping Times and Tightness
David Aldous
Ann. Probab. 6(2): 335-340 (April, 1978). DOI: 10.1214/aop/1176995579


A sufficient condition for the tightness of a sequence of stochastic processes is given in terms of their behavior after stopping times. As an application, the conditions for McLeish's invariance principle for martingales are weakened.


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David Aldous. "Stopping Times and Tightness." Ann. Probab. 6 (2) 335 - 340, April, 1978.


Published: April, 1978
First available in Project Euclid: 19 April 2007

zbMATH: 0391.60007
MathSciNet: MR474446
Digital Object Identifier: 10.1214/aop/1176995579

Primary: 60B10
Secondary: 60F05

Keywords: invariance principle , martingale , stopping time , tightness , weak convergence

Rights: Copyright © 1978 Institute of Mathematical Statistics

Vol.6 • No. 2 • April, 1978
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