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 r...

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Detalles Bibliográficos
Autor principal: Vaart, A. W. van der (-)
Formato: Libro
Idioma:Inglés
Publicado: Cambridge, UK ; New York, NY, USA : Cambridge University Press 2007
Colección:Cambridge series in statistical and probabilistic mathematics
Materias:
Acceso en línea:Sumario
Ver en Universidad de Navarra:https://unika.unav.edu/discovery/fulldisplay?docid=alma991006367799708016&context=L&vid=34UNAV_INST:VU1&search_scope=34UNAV_TODO&tab=34UNAV_TODO&lang=es
Descripción
Sumario: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 the latest research in asymptotic statistics.
Descripción Física:xv, 443 p. : il. ; 26 cm
Bibliografía:Includes bibliographical references (p. 433-438) and index
ISBN:9780521784504