Functional moderate deviations for triangular arrays and applications

Details Functional moderate deviations for triangular arrays and applications Functional moderate deviations for triangular arrays and applications

2008-05-05

arxiv.org/abs/0805.0617v1

Mathematics

Probability

20 pages. To appear in Alea

Scientific paper

Motivated by the study of dependent random variables by coupling with independent blocks of variables, we obtain first sufficient conditions for the moderate deviation principle in its functional form for triangular arrays of independent random variables. Under some regularity assumptions our conditions are also necessary in the stationary case. The results are then applied to derive moderate deviation principles for linear processes, kernel estimators of a density and some classes of dependent random variables.

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