Asymptotic Statistics
Edition: 1st paperback edition
Series: Cambridge Series in Statistical and Probabilistic Mathematics
Publisher: Cambridge University Press
Published: 2000
Place of publication: Cambridge, UK
Language: eng
Format: Paperback
Number of pages: 460
ISBN-13: 9780521784504
Copyright date: 1998
Subjects: Probability & statistics; Mathematics; Science/Mathematics; Probability & Statistics - General; Asymptotic efficiencies (Statistics); Mathematics / Statistics
First sentence: Why asymptotic statistics?
Description: 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 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. setup 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 text for a graduate or Master's level statistics course, this book will also give researchers in statistics, probability, and their applications an overview of the latest research in asymptotic statistics.
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