The effect of memory on functional large deviations of infinite moving average processes
نویسندگان
چکیده
منابع مشابه
The effect of memory on functional large deviations of infinite moving average processes
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.
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ژورنال
عنوان ژورنال: Stochastic Processes and their Applications
سال: 2009
ISSN: 0304-4149
DOI: 10.1016/j.spa.2008.02.013