A note on exponential bounds for smoothed processes
Résumé
We regularize a modification of the Poisson process and get an exponential bound for sequences of the smoothed process. It is also possible to consider various exponential bounds in the context of density estimation and apply them to the smoothed empirical distribution function. For these smoothed processes, results for the space C [0,1] may be derived as well as for some other Banach spaces.
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