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Nonparametric Functional Estimation and Related Topics

  • Book
  • © 1991

Overview

Editors:
  1. George Roussas

    1. Intercollege Division of Statistics, University of California, Davis, USA

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Part of the book series: Nato Science Series C: (ASIC, volume 335)

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Table of contents (51 chapters)

  1. Front Matter

    Pages i-xiii
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  2. Curve and Functional Estimation

    1. Front Matter

      Pages 1-1
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    2. Reproducing Kernels and Finite Order Kernels

      • A. Berlinet
      Pages 3-18

    3. Laws of the Iterated Logarithm for Density Estimators

      • Paul Deheuvels
      Pages 19-29

    4. Exponential Inequalities in Nonparametric Estimation

      • Luc Devroye
      Pages 31-44

    5. Conservative Confidence Bands for Nonparametric Regression

      • Ricardo Fraiman, Gonzalo Perez Iribarren
      Pages 45-66

    6. Data-Adaptive Kernel Estimation

      • Theo Gasser, Eva Herrmann
      Pages 67-79

    7. On the Nonparametric Estimation of the Entropy Functional

      • László Györfi, Edward C. Van Der Meulen
      Pages 81-95

  3. Curve and Functional Estimation (Continued)

    1. Front Matter

      Pages 97-97
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    2. Analysis of Samples of Curves

      • Theo Gasser, Alois Kneip
      Pages 99-110

    3. Bootstrap Methods in Nonparametric Regression

      • W. Härdle, E. Mammen
      Pages 111-123

    4. On the Influence Function of Maximum Penalized Likelihood Density Estimators.

      • V. K. Klonias
      Pages 125-131

    5. Nonparametric Curve Estimation and Simple Curve Characteristics

      • E. Mammen
      Pages 133-139

    6. Applications of Multiparameter Weak Convergence for Adaptive Nonparametric Curve Estimation

      • Hans-Georg Müller, Kathy Prewitt
      Pages 141-166

    7. On Asymptotic Efficiency of Average Derivative Estimates

      • Alexander Samarov
      Pages 167-172

    8. Nonparametric Estimation of Elliptically Contoured Densities

      • W. Stute, U. Werner
      Pages 173-190

    9. Uniform Deconvolution: Nonparametric Maximum Likelihood and Inverse Estimation

      • A. J. van Es
      Pages 191-198

  4. Parameter Selection, Smoothing

    1. Front Matter

      Pages 199-199
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    2. Smoothing Parameter Selection in Image Restoration

      • K. P.-S. Chan, J. W. Kay
      Pages 201-211

    3. Estimating the Quantile-Density Function

      • Miklós CsörgÅ‘, Lajos Horváth, Paul Deheuvels
      Pages 213-223
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Keywords

About this book

About three years ago, an idea was discussed among some colleagues in the Division of Statistics at the University of California, Davis, as to the possibility of holding an international conference, focusing exclusively on nonparametric curve estimation. The fruition of this idea came about with the enthusiastic support of this project by Luc Devroye of McGill University, Canada, and Peter Robinson of the London School of Economics, UK. The response of colleagues, contacted to ascertain interest in participation in such a conference, was gratifying and made the effort involved worthwhile. Devroye and Robinson, together with this editor and George Metakides of the University of Patras, Greece and of the European Economic Communities, Brussels, formed the International Organizing Committee for a two week long Advanced Study Institute (ASI) sponsored by the Scientific Affairs Division of the North Atlantic Treaty Organization (NATO). The ASI was held on the Greek Island of Spetses between July 29 and August 10, 1990. Nonparametric functional estimation is a central topic in statistics, with applications in numerous substantive fields in mathematics, natural and social sciences, engineering and medicine. While there has been interest in nonparametric functional estimation for many years, this has grown of late, owing to increasing availability of large data sets and the ability to process them by means of improved computing facilities, along with the ability to display the results by means of sophisticated graphical procedures.

Editors and Affiliations

  • Intercollege Division of Statistics, University of California, Davis, USA

    George Roussas

Bibliographic Information

  • Book Title: Nonparametric Functional Estimation and Related Topics

  • Editors: George Roussas

  • Series Title: Nato Science Series C:

  • DOI: https://doi.org/10.1007/978-94-011-3222-0

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media Dordrecht 1991

  • Hardcover ISBN: 978-0-7923-1226-0Published: 30 April 1991

  • Softcover ISBN: 978-94-010-5420-1Published: 23 October 2012

  • eBook ISBN: 978-94-011-3222-0Published: 06 December 2012

  • Series ISSN: 1389-2185

  • Edition Number: 1

  • Number of Pages: XIII, 708

  • Topics: Probability Theory and Stochastic Processes, Statistical Theory and Methods

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