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Titlebook: Stochastic Inequalities and Applications; Evariste Giné,Christian Houdré,David Nualart Conference proceedings 2003 Springer Basel AG 2003

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书目名称Stochastic Inequalities and Applications
编辑Evariste Giné,Christian Houdré,David Nualart
视频video
概述Articles are representative of the state of the art in stochastic inequalities.Broad scope, many applications are discussed
丛书名称Progress in Probability
图书封面Titlebook: Stochastic Inequalities and Applications;  Evariste Giné,Christian Houdré,David Nualart Conference proceedings 2003 Springer Basel AG 2003
描述.Concentration inequalities, which express the fact that certain complicated random variables are almost constant, have proven of utmost importance in many areas of probability and statistics. This volume contains refined versions of these inequalities, and their relationship to many applications particularly in stochastic analysis. The broad range and the high quality of the contributions make this book highly attractive for graduates, postgraduates and researchers in the above areas..
出版日期Conference proceedings 2003
关键词Law of large numbers; Lévy process; Martingale; Random variable; path space; statistics
版次1
doihttps://doi.org/10.1007/978-3-0348-8069-5
isbn_softcover978-3-0348-9428-9
isbn_ebook978-3-0348-8069-5Series ISSN 1050-6977 Series E-ISSN 2297-0428
issn_series 1050-6977
copyrightSpringer Basel AG 2003
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Stochastic Inequalities and Applications978-3-0348-8069-5Series ISSN 1050-6977 Series E-ISSN 2297-0428
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Dimensionality Reduction in Extremal Problems for Moments of Linear Combinations of Vectors with Ranbles. An immediate corollary is the following vector extension of the Whittle—Haagerup inequality: let .., …, .. be independent Rademacher random variables, and let .., …, .. be vectors in .; then.where .(0, 1). Dimensionality reduction in the case when all the lengths . are fixed is also considered. Open problems are stated.
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Moderate Deviations of Empirical Processeseparable Banach space. Our approach is based on a characterization of the large deviation principle using the large deviations of the finite dimensional distributions plus an asymptotic exponential equicontinuity condition.
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