(Download) "Nonparametric Estimation under Shape Constraints" by Piet Groeneboom & Geurt Jongbloed # Book PDF Kindle ePub Free

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eBook details

Title: Nonparametric Estimation under Shape Constraints
Author : Piet Groeneboom & Geurt Jongbloed
Release Date : January 31, 2014
Genre: Mathematics,Books,Science & Nature,
Pages : * pages
Size : 114910 KB

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.