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math.PR2008★ 2 cited
An empirical central limit theorem in L^1 for stationary sequences
Sophie Dede
In this paper, we derive asymptotic results for L^1-Wasserstein distance between the distribution function and the corresponding empirical distribution function of a stationary seq…
math.PR2008
Moderate deviations for stationary sequences of Hilbert valued bounded random variables
Sophie Dede
In this paper, we derive the moderate deviation principle for stationary sequences of bounded random variables with values in a Hilbert space. The conditions obtained are expressed…