High Dimensional Probability II

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Format: Hardcover
Pub. Date: 2000-09-01
Publisher(s): Birkhauser
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Table of Contents

Preface ix
Inequalities
1(76)
Moment Bounds for Self-Normalized Martingales
3(10)
Victor H. de la Pena
Michael J. Klass
Tze Leung Lai
Exponential and Moment Inequalities for U-Statistics
13(26)
Evarist Gine
Rafal Latala
Joel Zinn
A Multiplicative Inequality for Concentration Functions of n-Fold Convolutions
39(10)
Friedrich Gotze
Andrei Yu. Zaitsev
On Exact Maximal Khinchine Inequalities
49(16)
Iosif Pinelis
Strong Exponential Integrability of Martingales with Increments Bounded by a Sequence of Numbers
65(12)
Jan Rosinski
General Empirical Process Theory
77(58)
On Uniform Laws of Large Numbers for Smoothed Empirical Measures
79(10)
Peter Gaenssler
Daniel Rost
Weak Convergence of Smoothed Empirical Processes: Beyond Donsker Classes
89(18)
Dragan Radulovic
Marten Wegkamp
Limit Theorems for Smoothed Empirical Processes
107(8)
Daniel Rost
Preservation Theorems for Glivenko-Cantelli and Uniform Glivenko-Cantelli Classes
115(20)
Aad van der Vaart
Jon A. Wellner
Gaussian Processes
135(46)
Continuite de certaines fonctions aleatoires gaussiennes a valeurs dans lp, 1 ≤ p < ∞
137(26)
X. Fernique
A Note on the Gaussian Correlation Conjecture
163(10)
Wendo V. Li
Qi-Man Shao
Probability Estimates for Lower levels of Certain Gaussian Processes with Stationary Increments
173(8)
Michael B. Marcus
Strong Approximation and Embedding
181(66)
Asymptotic Independence of the Local Empirical Process Indexed by Functions
183(24)
Paul Deheuvels
Uwe Einmahl
David M. Mason
The Azema-Yor Embedding in Brownian Motion with Drift
207(16)
Goran Peskir
A New way to Obtain Estimates in the Invariance Principle
223(24)
Alexander I. Sakhanenko
The Law of the Iterated logarithm
247(32)
On the Law of the Iterated logarithm for Local Times of Recurrent Tandom Walks
249(12)
Xia Chen
A General Compact Law of the Iterated Logarithm in Banach Spaces
261(18)
Uwe Einmahl
James Kuelbs
Large Deviations
279(34)
Dominating Points for General Sequences of Random Vectors
281(12)
A. de Acosta
Large Deviations for Local Empirical Measures
293(20)
Ludovic Menneteau
Sums of Independent Random Variables in High Dimensions
313(34)
An Example Concerning Tightness of Sums of B-Valued Random Variables
315(14)
Richard C. Bradley
Images and Level Sets of Additive Random Walks
329(18)
Davar Khoshnevisan
Yimin Xiao
Random Vectors and processes
347(42)
Lee-Yang Models, Selfdecomposability and Negative-Definite Functions
349(10)
Joel De Coninck
Zbigniew Jurek
When an Isotropic Random Vector is Pseudo-Isotropic
359(8)
Jolanta M. Misiewicz
Krzysztof Tobisz
Support Fragmentation for Multiplicative Cascade Measures
367(10)
Mina Ossiander
On Simulating Fractional Brownian Motion
377(12)
Jerzy Szulga
Fred Molz
Function Estimation
389(70)
On Robust Recursive Nonparametric Curve Estimation
391(14)
Eduard Belitser
Sara van de Geer
Variable Kernel Estimates: on the Impossibility of Tuning the Parameters
405(20)
Luc Devroye
Gabor Lugosi
Almost Sure Asymptotic Optimality of Cross Validation for Spline Smoothing
425(18)
Paul Eggermont
Vincent LaRiccia
Rademacher Processes and Bounding the Risk of Function Learning
443(16)
Vladimir Koltchinskii
Dmitriy Panchenko
Statistics in a Multidimensional Setting
459(2)
Bootstrapping Empirical Distributions under Auxiliary information
461(16)
Erich Haeusler
Christiane Plies
On the Characteristic Function of the Matrix von Mises-Fisher Distribution with Application to SO (N)-- Deconvolution
477(16)
Peter T. Kim
Testing for Ellipsoidal Symmetry of a Multivariate Distribution
493
Vladimir Koltchinskii
Lyudmila Sakhancenko

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