Titlebook: High Dimensional Probability VII; The Cargèse Volume Christian Houdré,David M. Mason,Jan Rosiński Conference proceedings 2016 Springer Inte

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High Dimensional Probability VII978-3-319-40519-3Series ISSN 1050-6977 Series E-ISSN 2297-0428

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Stability of Cramer’s Characterization of Normal Laws in Information DistancesOptimal stability estimates in the class of regularized distributions are derived for the characterization of normal laws in Cramer’s theorem with respect to relative entropy and Fisher information distance.

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V.N. Sudakov’s Work on Expected Suprema of Gaussian ProcessesIt is noted that the late Volodya N. Sudakov (1934–2016) first published a statement in 1973 and proof in 1976 that the expected supremum of a centered Gaussian process is bounded above by a constant times a metric entropy integral. In particular, the present author (R.M. Dudley) defined such an integral but did not state nor prove such a bound.

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Christian Houdré,David M. Mason,Jan RosińskiGives a unique view on the mathematical methods used by experts to establish high dimensional results.Displays the wide scope of the types of problems to which these methods can be successfully applie

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Progress in Probabilityhttp://image.papertrans.cn/h/image/426221.jpg

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