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A local maximal inequality under uniform entropy
Empirical process modulus of continuity minimum contrast estimator rate of convergence
2011/2/28
We derive an upper bound for the mean of the supremum of the empirical process indexed by a class of functions that are known to have variance bounded by a small constant . The bound is expressed in ...
Computing the topological entropy of unimodal maps
Topological entropy interval maps symbolic dynamics
2010/12/28
We derive an algorithm to determine recursively the lap number (minimal number of monotone pieces) of the iterates of unimodal maps of an interval with free end-points. The algorithm
is obtained by t...