Mathematical Statistics and Limit Theorems, Softcover reprint of the original 1st ed. 2015 Festschrift in Honour of Paul Deheuvels

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.

István Berkes and Robert Tichy: Lacunary Series and Stable Distributions.- Gérard Biau and David M. Mason: High-Dimensional p-Norms.- Denis Bosq: Estimating and Detecting Jumps – Applications to D[0,1]-valued Linear Processes.- Maëva Biret, Michel Broniatowski and Zansheng Cao: A Sharp Abelian Theorem for the Laplace Transform.- Endre Csáki and Miklós Csörgő: On Bahadur-Kiefer Type Processes for Sums and Renewals in Dependent Cases.- El hadji Deme, Stéphane Girard, and Armelle Guillou: Reduced-bias Estimator of the Conditional Tail Expectation of Heavy-tailed Distributions.- Erich Haeusler and Stefan Horni: On Sequential Empirical Distribution Functions for Random Variables with Mean Zero.- Marc Hallin, Ramon van den Akker, and Bas J.M. Werker: On Quadratic Expansions of Log-Likelihoods and a General Asymptotic Linearity Result.- Michel Harel, Jean-François Lenain and Joseph Ngatchou-Wandji: Asymptotic Normality of Binned Kernel Density Estimators for Non-Stationary Dependent Random Variables.- Enkelejd Hashorva, Mikhail Lifshits, Oleg Seleznjev: Approximation of a Random Process with Variable Smoothness.- Gennady Martynov: A Cramér-von Mises Test for Gaussian Processes.- Ya. Yu. Nikitin and M. Ahsanullah: New U-empirical Tests of Symmetry Based on Extremal Order Statistics, and Their Efficiencies.- Davy Paindaveine and Thomas Verdebout: Optimal Rank-Based Tests for the Location Parameter of a Rotationally Symmetric Distribution on the Hypersphere.- Dominic Lauterbach and Dietmar Pfeifer: Some Extensions of Singular Mixture Copulas.- Adrian E. Raftery: Paul Deheuvels – Mentor, Advocate for Statistics, and Applied Statistician.- Paul Doukhan, Oleg I. Klesov, and Josef G. Steinebach: Strong Laws of Large Numbers in an F^α-scheme.- Ju-Yi Yen and Marc Yor: On Two Results of P. Deheuvels.- Ju-Yi Yen and Marc Yor: Some Topics in Probability Theory.

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