TY - BOOK AU - Groeneboom,P. AU - Jongbloed,Geurt TI - Nonparametric estimation under shape constraints: estimators, algorithms, and asymptotics T2 - Cambridge series on statistical and probabilistic mathematics SN - 9781139020893 (ebook) AV - QA278.8 .G76 2014 U1 - 519.5/4 23 PY - 2014/// CY - Cambridge PB - Cambridge University Press KW - Nonparametric statistics KW - Multivariate analysis KW - Mathematical statistics KW - Estimation theory N1 - Title from publisher's bibliographic system (viewed on 05 Oct 2015) N2 - 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 UR - https://doi.org/10.1017/CBO9781139020893 ER -