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P. Hitczenko, S.Kwapien, W.N.Li, G.Schechtman, T.Schlumprecht and J.Zinn stated the following conjecture. Let $mu$ be a symmetric $alpha$-stable measure on a separable Banach space and $B$ a centered ...
Entropy Estimate for k-Monotone Functions via Small Ball Probability of Integrated Brownian Motions
Metric entropy class of distribution functions
2009/3/19
Metric entropy of the class of probability distribution functions on [0,1] with a k-monotone density is studied through its connection with the small ball probability of k-times integrated Brownian mo...