Nonparametric Estimation under Shape Constraints

This book treats the latest developments in the theory of order-restricted inference, with special attention to nonparametric methods and algorithmic aspects. Among the topics treated are current status and interval censoring models, competing risk models, and deconvolution. Methods of order restricted inference are used in computing maximum likelihood estimators and developing distribution theory for inverse problems of this type. The authors have been active in developing these tools and present the state of the art and the open problems in the field. The earlier chapters provide an introduction to the subject, while the later chapters are written with graduate students and researchers in mathematical statistics in mind. Each chapter ends with a set of exercises of varying difficulty. The theory is illustrated with the analysis of real-life data, which are mostly medical in nature.

Author: Piet Groeneboom, Geurt Jongbloed
Publisher: Cambridge University Press
Published: 12/15/2014
Pages: 428
Binding Type: Hardcover
Weight: 2.05lbs
Size: 10.00h x 7.20w x 1.20d
ISBN: 9780521864015

About the Author
Groeneboom, Piet: - Piet Groeneboom is Professor Emeritus of Statistics at Delft University of Technology, The Netherlands.Jongbloed, Geurt: - Geurt Jongbloed is Professor of Statistics at Delft University of Technology, The Netherlands.