Title:
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NONPARAMETRIC ESTIMATION UNDER SHAPE CONSTRAINTS
ESTIMATORS, ALGORITHMS AND ASYMPTOTICS |
By: |
Piet Groeneboom, Geurt Jongbloed, Jon A. Wellner |
Format: |
Hardback |
List price:
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£71.99 |
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£62.99 |
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£9.00 |
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ISBN 10: |
0521864011 |
ISBN 13: |
9780521864015 |
Availability: |
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Publisher: |
CAMBRIDGE UNIVERSITY PRESS |
Pub. date: |
11 December, 2014 |
Series: |
Cambridge Series in Statistical and Probabilistic Mathematics 38 |
Pages: |
428 |
Description: |
This book introduces basic concepts of shape constrained inference and guides the reader to current developments in the subject. |
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. |
Illustrations: |
90 b/w illus. 20 tables 190 exercises |
Publication: |
UK |
Imprint: |
Cambridge University Press |
Returns: |
Returnable |