High Dimensional Probability II by Evarist Giné | (PDF) Free Download

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    Ebook Info

    • Published: 2011
    • Number of pages: 530 pages
    • Format: PDF
    • File Size: 28.49 MB
    • Authors: Evarist Giné

    Description

    Moment Bounds for Self-Normalized Martingales.- Exponential and Moment Inequalities for U-Statistics.- A Multiplicative Inequality for Concentration Functions of n-Fold Convolutions.- On Exact Maximal Khinchine Inequalities.- Strong Exponential Integrability of Martingales with Increments Bounded by a Sequence of Numbers.- On Uniform Laws of Large Numbers for Smoothed Empirical Measures.- Weak Convergence of Smoothed Empirical Processes: Beyond Donsker Classes.- Limit Theorems for Smoothed Empirical Processes.- Preservation Theorems for Glivenko-Cantelli and Uniform Glivenko-Cantelli Classes.- Continuité de certaines fonctions aléatoires gaussiennes à valeurs dans lp, 1?p of Cross Validation for Spline Smoothing.- Rademacher Processes and Bounding the Risk of Function Learning.- Bootstrapping Empirical Distributions under Auxiliary Information.- On the Characteristic Function of the Matrix von Mises-Fisher Distribution with Application to SO(N)-Deconvolution.- Testing for Ellipsoidal Symmetry of a Multivariate Distribution.

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