Asymptotic Statistics

This book is an introduction to the field of asymptotic statistics. The treatment is both practical and mathematically rigorous. In addition to most of the standard topics of an asymptotics course, including likelihood inference, M-estimation, the theory of asymptotic efficiency, U-statistics, and rank procedures, the book also presents recent research topics such as semiparametric models, the bootstrap, and empirical processes and their applications. The topics are organized from the central idea of approximation by limit experiments, which gives the book one of its unifying themes. This entails mainly the local approximation of the classical i.i.d. set up with smooth parameters by location experiments involving a single, normally distributed observation. Thus, even the standard subjects of asymptotic statistics are presented in a novel way. Suitable as a graduate or Master's level statistics text, this book will also give researchers an overview of research in asymptotic statistics.Additional ISBNs0521496039, 0521784506, 1107263727, 9780521496032, 9780521784504, 9781107263727Asymptotic Statistics 1st Edition is written by A. W. van der Vaart and published by Cambridge University Press. ISBNs for Asymptotic Statistics are 9781107263727, 1107263727 and the print ISBNs are 9780521784504, 0521784506. Additional ISBNs include 0521496039, 0521784506, 1107263727, 9780521496032, 9780521784504, 9781107263727.