Uniform L1-large deviations for the delta-sequence method density estimator
Résumé
In this paper we obtain uniform L\-distance large deviations results for the delta-sequence method density estimator. More precisely, we consider uniformity over classes of density functions fulfilling some regularity conditions. It results from our study that the rate function is distribution free and also does not depend upon the delta-sequence used to estimate the density. A general result pertaining to any regular delta-sequence is stated and a discussion of hypotheses for the most usual methods is given.
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