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Smoothing Techniques

With Implementation in S

  • Book
  • © 1991

Overview

Authors:
  1. Wolfgang Härdle

    1. Center for Operations Research and Econometrics, Université Catholique de Louvain, Louvain-La-Neuve, Belgium

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Part of the book series: Springer Series in Statistics (SSS)

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Table of contents (7 chapters)

  1. Front Matter

    Pages i-xi
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  2. Density Smoothing

    1. Front Matter

      Pages 1-1
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    2. The Histogram

      • Wolfgang Härdle
      Pages 3-42

    3. Kernel Density Estimation

      • Wolfgang Härdle
      Pages 43-84

    4. Further Density Estimators

      • Wolfgang Härdle
      Pages 85-89

    5. Bandwidth Selection in Practice

      • Wolfgang Härdle
      Pages 90-119

  3. Regression Smoothing

    1. Front Matter

      Pages 121-121
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    2. Nonparametric Regression

      • Wolfgang Härdle
      Pages 123-150

    3. Bandwidth Selection

      • Wolfgang Härdle
      Pages 151-172

    4. Simultaneous Error Bars

      • Wolfgang Härdle
      Pages 173-195

  4. Back Matter

    Pages 197-261
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Keywords

About this book

The author has attempted to present a book that provides a non-technical introduction into the area of non-parametric density and regression function estimation. The application of these methods is discussed in terms of the S computing environment. Smoothing in high dimensions faces the problem of data sparseness. A principal feature of smoothing, the averaging of data points in a prescribed neighborhood, is not really practicable in dimensions greater than three if we have just one hundred data points. Additive models provide a way out of this dilemma; but, for their interactiveness and recursiveness, they require highly effective algorithms. For this purpose, the method of WARPing (Weighted Averaging using Rounded Points) is described in great detail.

Authors and Affiliations

  • Center for Operations Research and Econometrics, Université Catholique de Louvain, Louvain-La-Neuve, Belgium

    Wolfgang Härdle

Bibliographic Information

  • Book Title: Smoothing Techniques

  • Book Subtitle: With Implementation in S

  • Authors: Wolfgang Härdle

  • Series Title: Springer Series in Statistics

  • DOI: https://doi.org/10.1007/978-1-4612-4432-5

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag New York Inc. 1991

  • Hardcover ISBN: 978-0-387-97367-8Published: 05 December 1990

  • Softcover ISBN: 978-1-4612-8768-1Published: 19 October 2011

  • eBook ISBN: 978-1-4612-4432-5Published: 06 December 2012

  • Series ISSN: 0172-7397

  • Series E-ISSN: 2197-568X

  • Edition Number: 1

  • Number of Pages: XII, 262

  • Topics: Applications of Mathematics

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