The purpose of this book is to give a detailed account of some recent devel- ments in the ?eld of probability and statistics for dependent data. It covers a wide range of topics from Markov chains theory, weak dependence, dynamical system to strong dependence and their applications. The title of this book has been somehow borrowed from the book Dependence in Probability and Statistics: a Survey of Recent Result edited by Ernst Eberlein and Murad S. Taqqu, Birkh] auser (1986), which could serve as an excellent prerequisite for reading this book. We hope that the reader will ?nd it as useful...

INTRODUCTION 1) Introduction In 1979, Efron introduced the bootstrap method as a kind of universal tool to obtain approximation of the distribution of statistics. The now well known underlying idea is the following: consider a sample X of Xl ' n independent and identically distributed H.i.d.) random variables (r. v, 's) with unknown probability measure (p.m.) P . Assume we are interested in approximating the distribution of a statistical functional T(P ) the -1 nn empirical counterpart of the functional T(P), where P n: = n l: i=l aX. is 1 the empirical p.m. Since in some sense P is close to...

This volume presents the latest advances and trends in nonparametric statistics, and gathers selected and peer-reviewed contributions from the 3rd Conference of the International Society for Nonparametric Statistics (ISNPS), held in Avignon, France on June 11-16, 2016.