Book contents
- Frontmatter
- Contents
- Preface and Acknowledgments
- 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
2 - Basic Estimation Problems with Monotonicity Constraints
Published online by Cambridge University Press: 18 December 2014
- Frontmatter
- Contents
- Preface and Acknowledgments
- 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
Summary
- Type
- Chapter
- Information
- Nonparametric Estimation under Shape ConstraintsEstimators, Algorithms and Asymptotics, pp. 18 - 46Publisher: Cambridge University PressPrint publication year: 2014