Article ID Journal Published Year Pages File Type
1156137 Stochastic Processes and their Applications 2009 28 Pages PDF
Abstract

The large deviations of an infinite moving average process with exponentially light tails are very similar to those of an i.i.d. sequence as long as the coefficients decay fast enough. If they do not, the large deviations change dramatically. We study this phenomenon in the context of functional large, moderate and huge deviation principles.

Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)
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