ENGLISH

Nonparametric Estimation under Shape Constraints: Estimators, Algorithms and Asymptotics

By Piet Groeneboom , Geurt Jongbloed

Book information

Publisher
Cambridge University Press
Year
2014
ISBN
0521864011, 9780521864015
Language
english
Format
PDF
Filesize
37 MB (39226628 bytes)
Series
Cambridge Series in Statistical and Probabilistic Mathematics
Pages
C, xii, 428\495
Time added
2014-12-14 16:48:19
Математика;Теория вероятностей и математическая ст

Description

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. Contains many exercises (190) Utilizes recent research in the field Covers both mathematical and algorithmic aspects

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