Houdré, Christian

High Dimensional Probability VI

Houdré, Christian - High Dimensional Probability VI, ebook


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Table of contents

Part I. Inequalities and Convexity

1. Bracketing Entropy of High Dimensional Distributions
Fuchang Gao

2. Slepian’s Inequality, Modularity and Integral Orderings
J. Hoffmann-Jørgensen

3. A More General Maximal Bernstein-type Inequality
Péter Kevei, David M. Mason

4. Maximal Inequalities for Centered Norms of Sums of Independent Random Vectors
Rafał Latała

5. A Probabilistic Inequality Related to Negative Definite Functions
Mikhail Lifshits, René L. Schilling, Ilya Tyurin

6. Optimal Re-centering Bounds, with Applications to Rosenthal-type Concentration of Measure Inequalities
Iosif Pinelis

7. Strong Log-concavity is Preserved by Convolution
Jon A. Wellner

8. On Some Gaussian Concentration Inequality for Non-Lipschitz Functions
Paweł Wolff

Part II. Limit Theorems

9. Rates of Convergence in the Strong Invariance Principle for Non-adapted Sequences Application to Ergodic Automorphisms of the Torus
Jérôme Dedecker, Florence Merlevède, Françoise Pène

10. On the Rate of Convergence to the Semi-circular Law
Friedrich Götze, Alexandre Tikhomirov

11. Empirical Quantile CLTs for Time-dependent Data
James Kuelbs, Joel Zinn

12. Asymptotic Properties for Linear Processes of Functionals of Reversible or Normal Markov Chains
Magda Peligrad

Part III. Stochastic Processes

13. First Exit of Brownian Motion from a One-sided Moving Boundary
Frank Aurzada, Tanja Kramm

14. On Lévy’s Equivalence Theorem in Skorohod Space
Andreas Basse-O’Connor, Jan Rosiński

15. Continuity Conditions for a Class of Second-order Permanental Chaoses
Michael B. Marcus, Jay Rosen

Part IV. Random Matrices and Applications

16. On the Operator Norm of Random Rectangular Toeplitz Matrices
Radosław Adamczak

17. Edge Fluctuations of Eigenvalues of Wigner Matrices
Hanna Döring, Peter Eichelsbacher

18. On the Limiting Shape of Young Diagrams Associated with Inhomogeneous Random Words
Christian Houdré, Hua Xu

Part V. High Dimensional Statistics

19. Low Rank Estimation of Similarities on Graphs
Vladimir Koltchinskii, Pedro Rangel

20. Sparse Principal Component Analysis with Missing Observations
Karim Lounici

21. High Dimensional CLT and its Applications
Dragan Radulovic

Keywords: Mathematics, Probability Theory and Stochastic Processes, Mathematical Applications in Computer Science, Calculus of Variations and Optimal Control, Optimization

Publication year
Progress in Probability
Page amount
13 pages
Natural Sciences

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