Asymptotics in Statistics: Some Basic Concepts (Springer Series in Statistics) - Hardcover

Le Cam, Lucien; Lo Yang, Grace

Hardcover

ISBN 10: 0387950362 ISBN 13: 9780387950365

Publisher: Springer, 2000

Synopsis

This is the second edition of a coherent introduction to the subject of asymptotic statistics as it has developed over the past 50 years. It differs from the first edition in that it is now more 'reader friendly' and also includes a new chapter on Gaussian and Poisson experiments, reflecting their growing role in the field. Most of the subsequent chapters have been entirely rewritten and the nonparametrics of Chapter 7 have been amplified. The volume is not intended to replace monographs on specialized subjects, but will help to place them in a coherent perspective. It thus represents a link between traditional material - such as maximum likelihood, and Wald's Theory of Statistical Decision Functions -- together with comparison and distances for experiments. Much of the material has been taught in a second year graduate course at Berkeley for 30 years.

About this title

Review:

From the reviews:

SHORT BOOK REVIEWS

"It is a very valuable book giving a coherent view of the basic concept and tools of the asymptotic theory in statistical inference."

JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION

"...short and mathematically very sophisticated. Its approach is modern and undoubtedly profound."

Synopsis:

This volume is the second edition of a work that presents a coherent introduction to the subject of asymptotic statistics as it has developed in the past 50 years. The second edition differs from the first in that it has been made more 'reader friendly'. It also includes a new chapter, Chapter 4, on Gaussian and Poisson experiments because of their growing role in the field, especially in nonparametrics and semi-parametrics. Most of the subsequent chapters have been entirely rewritten and the nonparametrics of Chapter 7 have been ampliefied. Much of the material has been taught in a second year graduate course at Berkeley for 30 years. It represents a link between traditional material including maximum likelihood, and Wald's Theory of Statistical Decision Functions together with comparison and distances for experiments. This volume is not intended to replace monographs on specialized subjects, but it will help to place them in a coherent perspective.Lucien Le Cam is Professor of Statistics and Mathematics (Emeritus) at the University of California, Berkeley.

He is the author of numerous papers on asymptotics and Asymptotic Methods in Statistical Decision Theory, Springer Verlag (1986). He was co-editor, with J. Neyman and E. Scott of the Berkeley Symposia on Mathematical Statistics and Probability. Grace Lo Yang is Professor, Department of Mathematics, University of Maryland, College Park. She is a long time holder of a Faculty Appointment at the National Institute of Standards and Technology, Gaithersburg, MD. Her research activities include stochastic modeling in physical sciences and theory of incomplete data.

About this edition

• Publisher: Springer
• Publication date: 2000
• ISBN 10: 0387950362
• ISBN 13: 9780387950365
• Binding: Hardcover
• Edition number: 2
• Number of pages: 300