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 Electronic Communications in Probability > Vol. 11 (2006) > Paper 2 open journal systems 


Strong Approximation for Mixing Sequences with Infinite Variance

Raluca Balan, University of Ottawa, Canada
Ingrid-Mona Zamfirescu, City University of New York, USA


Abstract
In this paper we prove a strong approximation result for a mixing sequence with infinite variance and logarithmic decay rate of the mixing coefficient. The result is proved under the assumption that the distribution is symmetric and lies in the domain of attraction of the normal law. Moreover the truncated variance function is supposed to be slowly varying with log-log type remainder.


Full text: PDF

Pages: 11-23

Published on: January 24, 2006
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Electronic Communications in Probability. ISSN: 1083-589X