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Some results on increments of the partially observed empirical process
Authors:Zacharie Dindar
Affiliation:L.S.T.A., Université Paris VI, 45 rue Vineuse, 75016 Paris, France
Abstract:

The author investigates the almost sure behaviour of the increments of the partially observed, uniform empirical process. Some functional laws of the iterated logarithm are obtained for this process. As an application, new laws of the iterated logarithm are established for kernel density estimators.

Keywords:Empirical processes   law of the iterated logarithm   functional laws
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