TY - BOOK AU - Groeneboom,Piet AU - Jongbloed,Geurt TI - Nonparametric estimation under shape constraints: estimators, algorithms, and asymptotics T2 - Cambridge series in statistical and probabilistic mathematics SN - 9780521864015 (hbk.) U1 - 000SA.12 23 PY - 2014/// CY - New York : PB - Cambridge University Press KW - Nonparametric statistics KW - Multivariate analysis KW - Mathematical statistics KW - Estimation theory N1 - Includes bibliographical references (pages 401-408) and indexes; 1. Introduction; 2. Basic estimation problems with monotonicity constraints; 3. Asymptotic theory for the basic monotone problems; 4. Other univariate problems involving monotonicity constraints; 5. Higher dimensional problems; 6. Lower bounds on estimation rates; 7. Algorithms and computation; 8. Shape and smoothness; 9. Testing and confidence intervals; 10. Asymptotic theory of smooth functionals; 11. Pointwise asymptotic distribution theory for univariate problems; 12. Pointwise asymptotic distribution theory for multivariate problems; 13. Asymptotic distribution of global deviations; References; Author index; Subject index N2 - This book introduces basic concepts of shape constrained inference and guides the reader to current developments in the subject ER -