Weak Convergence of Stochastic Processes

The purpose of this book is to present results on the subject of weak convergence in function spaces to study invariance principles in statistical applications to dependent random variables, U-statistics, censor data analysis. Different techniques, formerly available only in a broad range of literature, are for the first time presented here in a self-contained fashion.

Contents:

Weak convergence of stochastic processes

Weak convergence in metric spaces

Weak convergence on C 0, 1] and D 0,∞)

Central limit theorem for semi-martingales and applications

Central limit theorems for dependent random variables

Empirical process

Bibliography