Titlebook: High Dimensional Probability VI; The Banff Volume Christian Houdré,David M. Mason,Jon A. Wellner Conference proceedings 2013 Springer Basel

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Empirical Quantile CLTs for Time-dependent Data., where . is a closed sub-interval of (0, 1). The process {.. : .} may be chosen from a broad collection of Gaussian processes, compound Poisson processes, stationary independent increment stable processes, and martingales.

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High Dimensional Probability VI978-3-0348-0490-5Series ISSN 1050-6977 Series E-ISSN 2297-0428

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Slepian’s Inequality, Modularity and Integral Orderingsariants are imposing to strong regularity conditions. The first part of this paper contains a unified version of Slepian’s inequality under minimal regularity conditions, covering all the variants I know about. It is well known that Slepian’s inequality is closely connected to integral orderings in

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Strong Log-concavity is Preserved by Convolutionon of strong log-concavity are known in the discrete setting (where strong log-concavity is known as “ultra-log-concavity”), preservation of strong logconcavity under convolution has apparently not been investigated previously in the continuous case.