Inference and Prediction in Large Dimensions (Wiley Series in Probability and Statistics) - Hardcover

Bosq, Denis; Blanke, Delphine

Hardcover

ISBN 10: 0470017619 ISBN 13: 9780470017616

Publisher: Wiley-Interscience, 2007

Synopsis

This book offers a predominantly theoretical coverage of statistical prediction, with some potential applications discussed, when data and/ or parameters belong to a large or infinite dimensional space. It develops the theory of statistical prediction, non-parametric estimation by adaptive projection – with applications to tests of fit and prediction, and theory of linear processes in function spaces with applications to prediction of continuous time processes.

This work is in the Wiley-Dunod Series co-published between Dunod (www.dunod.com) and John Wiley and Sons, Ltd.

About this title

About the Author

Denis Bosq is a Professor at the Laboratory of Theoretical and Applied Statistics, University of Pierre & Marie Curie – Paris 6. He has over 100 published papers, 5 books, and is chief editor of the journal ‘Statistical Inference for Stochastic Processes’ as well as associate editor for the ‘Journal of Non-Parametric Statistics’. He is a well-known specialist in the field of non-parametric statistical inference.

From the Back Cover

In many instances of statistical research the data and/or parameters belong to a large, or infinite, dimensional space. In such circumstances accurate inference and statistical prediction are often problematic, requiring an alternative statistical treatment.

Inference and Prediction in Large Dimensions offers a predominantly theoretical coverage of statistical prediction when such dimensional spaces are involved, and discusses numerous potential applications. The authors develop the theory of statistical prediction, non-parametric estimation by adaptive projection and kernel, with applications to tests of fit and prediction, and theory of linear processes in function spaces with applications to prediction of continuous time processes.

Highlighting the latest developments in the field, this book provides a comprehensive and authoritative introduction to the topic. The text is divided into three main parts covering statistical prediction, inference by projection, and inference by kernels. The applications are demonstrated with examples from fields such as finance, medicine and psychology.

Inference and Prediction in Large Dimensions is aimed at graduates and researchers in the field of statistics, and students specializing in statistical inference for stochastic processes. The many potential applications also make it ideal for applied statisticians in numerous areas, as well as mathematicians and engineers.

Inference and Prediction in Large Dimensions offers a predominantly theoretical coverage of statistical prediction when such dimensional spaces are involved, and discusses numerous potential applications. The authors develop the theory of statistical prediction, non-parametric estimation by adaptive projection and kernel, with applications to tests of fit and prediction, and theory of linear processes in function spaces with applications to prediction of continuous time processes.

Highlighting the latest developments in the field, this book provides a comprehensive and authoritative introduction to the topic. The text is divided into three main parts covering statistical prediction, inference by projection, and inference by kernels. The applications are demonstrated with examples from fields such as finance, medicine and psychology.

Inference and Prediction in Large Dimensions is aimed at graduates and researchers in the field of statistics, and students specializing in statistical inference for stochastic processes. The many potential applications also make it ideal for applied statisticians in numerous areas, as well as mathematicians and engineers.

Edition details

• Publisher: Wiley-Interscience
• Publication date: 2007
• Language: English
• ISBN 10: 0470017619
• ISBN 13: 9780470017616
• Binding: Hardcover
• Edition number: 1
• Number of pages: 336