Title | High Dimensional Probability [electronic resource] / edited by Ernst Eberlein, Marjorie Hahn, Michel Talagrand |
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Imprint | Basel : Birkhรคuser Basel : Imprint: Birkhรคuser, 1998 |
Connect to | http://dx.doi.org/10.1007/978-3-0348-8829-5 |
Descript | VIII, 335 p. online resource |
Weak Convergence of the Row Sums of a Triangular Array of Empirical Processes -- Self-Normalized Large Deviations in Vector Spaces -- Consistency of M-Estimators and One-Sided Bracketing -- Small Deviation Probabilities of Sums of Independent Random Variables -- Strong Approximations to the Local Empirical Process -- On Random Measure Processes with Application to Smoothed Empirical Processes -- A Consequence for Random Polynomials of a Result of De La Peรฑa and Montgomery-Smith -- Distinctions Between the Regular and Empirical Central Limit Theorems for Exchangeable Random Variables -- Laws of Large Numbers and Continuity of Processes -- Convergence in Law of Random Elements and Random Sets -- Asymptotics of Spectral Projections of Some Random Matrices Approximating Integral Operators -- A Short Proof of the Gaussian Isoperimetric Inequality -- Some Shift Inequalities for Gaussian Measures -- A Central Limit Theorem for the Sock-Sorting Problem -- Oscillations of Gaussian Steinโs Elements -- A Sufficient Condition for the Continuity of High Order Gaussian Chaos Processes -- On Waldโs Equation and First Exit Times for Randomly Stopped Processes with Independent Increments -- The Best Doob-type Bounds for the Maximum of Brownian Paths -- Optimal Tail Comparison Based on Comparison of Moments -- The Bootstrap of Empirical Processes for ?-Mixing Sequences