Nonparametric Estimation under Shape Constraints
eBook - PDF

Nonparametric Estimation under Shape Constraints

Estimators, Algorithms and Asymptotics

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

Nonparametric Estimation under Shape Constraints

Estimators, Algorithms and Asymptotics

About this book

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.

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Yes, you can access Nonparametric Estimation under Shape Constraints by Piet Groeneboom,Geurt Jongbloed in PDF and/or ePUB format, as well as other popular books in Mathematics & Probability & Statistics. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover
  2. Half title
  3. Series
  4. Title
  5. Copyright
  6. Contents
  7. Preface and Acknowledgments
  8. 1 Introduction
  9. 2 Basic Estimation Problems with Monotonicity Constraints
  10. 3 Asymptotic Theory for the Basic Monotone Problems
  11. 4 Other Univariate Problems Involving Monotonicity Constraints
  12. 5 Higher Dimensional Problems
  13. 6 Lower Bounds on Estimation Rates
  14. 7 Algorithms and Computation
  15. 8 Shape and Smoothness
  16. 9 Testing and Confidence Intervals
  17. 10 Asymptotic Theory of Smooth Functionals
  18. 11 Pointwise Asymptotic Distribution Theory for Univariate Problems
  19. 12 Pointwise Asymptotic Distribution Theory for Multivariate Problems
  20. 13 Asymptotic Distribution of Global Deviations
  21. References
  22. Author Index
  23. Subject Index