We consider the local empirical measure indexed by a function class. Under some reglarity assumptions, we give a large deviations principle for this process. A non standard functional law of the iterated logarithm is infered from our large deviations principle.
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Paper provided by Institut National de la Statistique et des Etudes Economiques- in its series Papers with number
2000-11.
Length: 24 pages Date of creation: 2000 Date of revision: Handle: RePEc:fth:inseep:2000-11
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Find related papers by JEL classification: C00 - Mathematical and Quantitative Methods - - General - - - General C60 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - General