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Mathematical Statistics and Limit Theorems

Festschrift in Honour of Paul Deheuvels

  • Book
  • © 2015

Overview

Editors:
  1. Marc Hallin

    1. European Centre for Advanced Research in Economics and Statistics, Université Libre de Bruxelles, Bruxelles, Belgium

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  2. David M. Mason

    1. Department of Applied Economics and Statistics, University of Delaware, Newark, USA

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  3. Dietmar Pfeifer

    1. School of Mathematics and Science, Carl von Ossietzky University, Oldenburg, Germany

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  4. Josef G. Steinebach

    1. Mathematical Institute, University of Cologne, Köln, Germany

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  • A modern compilation of research results in the intersection of mathematical statistics and probability theory

  • With a special focus on limit theorems

  • Gives a broad survey over new results in the field

  • Includes supplementary material: sn.pub/extras

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Table of contents (18 chapters)

  1. Front Matter

    Pages i-x
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  2. Paul Deheuvels: Mentor, Advocate for Statistics, and Applied Statistician

    • Adrian E. Raftery
    Pages 1-6

  3. Lacunary Series and Stable Distributions

    • István Berkes, Robert Tichy
    Pages 7-19

  4. High-Dimensional \(p\)-Norms

    • Gérard Biau, David M. Mason
    Pages 21-40

  5. Estimating and Detecting Jumps. Applications to \(D\left[ 0,1\right] \)-Valued Linear Processes

    • Denis Bosq
    Pages 41-66

  6. A Sharp Abelian Theorem for the Laplace Transform

    • Maëva Biret, Michel Broniatowski, Zansheng Cao
    Pages 67-92

  7. On Bahadur–Kiefer Type Processes for Sums and Renewals in Dependent Cases

    • Endre Csáki, Miklós Csörgő
    Pages 93-103

  8. Reduced-Bias Estimator of the Conditional Tail Expectation of Heavy-Tailed Distributions

    • El Hadji Deme, Stéphane Girard, Armelle Guillou
    Pages 105-123

  9. On Sequential Empirical Distribution Functions for Random Variables with Mean Zero

    • Erich Haeusler, Stefan Horni
    Pages 125-146

  10. On Quadratic Expansions of Log-Likelihoods and a General Asymptotic Linearity Result

    • Marc Hallin, Ramon van den Akker, Bas J. M. Werker
    Pages 147-165

  11. Asymptotic Normality of Binned Kernel Density Estimators for Non-stationary Dependent Random Variables

    • Michel Harel, Jean-François Lenain, Joseph Ngatchou-Wandji
    Pages 167-187

  12. Approximation of a Random Process with Variable Smoothness

    • Enkelejd Hashorva, Mikhail Lifshits, Oleg Seleznjev
    Pages 189-208

  13. A Cramér–von Mises Test for Gaussian Processes

    • Gennady Martynov
    Pages 209-229

  14. New \(U\)-empirical Tests of Symmetry Based on Extremal Order Statistics, and Their Efficiencies

    • Ya. Yu. Nikitin, M. Ahsanullah
    Pages 231-248

  15. Optimal Rank-Based Tests for the Location Parameter of a Rotationally Symmetric Distribution on the Hypersphere

    • Davy Paindaveine, Thomas Verdebout
    Pages 249-269

  16. Some Extensions of Singular Mixture Copulas

    • Dominic Lauterbach, Dietmar Pfeifer
    Pages 271-286

  17. Strong Laws of Large Numbers in an \(F^\alpha \)-Scheme

    • Paul Doukhan, Oleg I. Klesov, Josef G. Steinebach
    Pages 287-303

  18. On Two Results of P. Deheuvels

    • Ju-Yi Yen, Marc Yor
    Pages 305-308

  19. Some Topics in Probability Theory

    • Ju-Yi Yen, Marc Yor
    Pages 309-314

  20. Back Matter

    Pages 315-326
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Keywords

About this book

This Festschrift in honour of Paul Deheuvels’ 65th birthday compiles recent research results in the area between mathematical statistics and probability theory with a special emphasis on limit theorems. The book brings together contributions from invited international experts to provide an up-to-date survey of the field.

Written in textbook style, this collection of original material addresses researchers, PhD and advanced Master students with a solid grasp of mathematical statistics and probability theory.

Editors and Affiliations

  • European Centre for Advanced Research in Economics and Statistics, Université Libre de Bruxelles, Bruxelles, Belgium

    Marc Hallin

  • Department of Applied Economics and Statistics, University of Delaware, Newark, USA

    David M. Mason

  • School of Mathematics and Science, Carl von Ossietzky University, Oldenburg, Germany

    Dietmar Pfeifer

  • Mathematical Institute, University of Cologne, Köln, Germany

    Josef G. Steinebach

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