Title: Nonparametric Estimation under Shape Constraints: Estimators, Algorithms and Asymptotics (Cambridge Series in Statistical and Probabilistic Mathematics, Series Number 38)
Publisher: Cambridge University Press
Publication Date: 2014
Language: English
ISBN 10: 0521864011
ISBN 13: 9780521864015
Binding: Hardcover
Condition: New

About this title

Synopsis

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.

About the Authors

Piet Groeneboom is Professor Emeritus of Statistics at Delft University of Technology, The Netherlands.

Geurt Jongbloed is Professor of Statistics at Delft University of Technology, The Netherlands.

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