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  • © 1988

Nonparametric Regression Analysis of Longitudinal Data

Part of the book series: Lecture Notes in Statistics (LNS, volume 46)

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Table of contents (12 chapters)

  1. Front Matter

    Pages I-VI
  2. Introduction

    • Hans-Georg Müller
    Pages 1-5
  3. Longitudinal Data and Regression Models

    • Hans-Georg Müller
    Pages 6-14
  4. Nonparametric Regression Methods

    • Hans-Georg Müller
    Pages 15-25
  5. Kernel and Local Weighted Least Squares Methods

    • Hans-Georg Müller
    Pages 26-46
  6. Multivariate Kernel Estimators

    • Hans-Georg Müller
    Pages 77-90
  7. Choice of Global and Local Bandwidths

    • Hans-Georg Müller
    Pages 91-121
  8. Longitudinal Parameters

    • Hans-Georg Müller
    Pages 122-130
  9. Further Applications

    • Hans-Georg Müller
    Pages 151-157
  10. Consistency Properties of Moving Weighted Averages

    • Hans-Georg Müller
    Pages 158-164
  11. Back Matter

    Pages 190-199

About this book

This monograph reviews some of the work that has been done for longitudi­ nal data in the rapidly expanding field of nonparametric regression. The aim is to give the reader an impression of the basic mathematical tools that have been applied, and also to provide intuition about the methods and applications. Applications to the analysis of longitudinal studies are emphasized to encourage the non-specialist and applied statistician to try these methods out. To facilitate this, FORTRAN programs are provided which carry out some of the procedures described in the text. The emphasis of most research work so far has been on the theoretical aspects of nonparametric regression. It is my hope that these techniques will gain a firm place in the repertoire of applied statisticians who realize the large potential for convincing applications and the need to use these techniques concurrently with parametric regression. This text evolved during a set of lectures given by the author at the Division of Statistics at the University of California, Davis in Fall 1986 and is based on the author's Habilitationsschrift submitted to the University of Marburg in Spring 1985 as well as on published and unpublished work. Completeness is not attempted, neither in the text nor in the references. The following persons have been particularly generous in sharing research or giving advice: Th. Gasser, P. Ihm, Y. P. Mack, V. Mammi tzsch, G . G. Roussas, U. Stadtmuller, W. Stute and R.

Authors and Affiliations

  • Institute of Medical Statistics, University of Erlangen-Nürnberg, Erlangen, Federal Republic of Germany

    Hans-Georg Müller

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

    Hans-Georg Müller

Bibliographic Information

  • Book Title: Nonparametric Regression Analysis of Longitudinal Data

  • Authors: Hans-Georg Müller

  • Series Title: Lecture Notes in Statistics

  • DOI: https://doi.org/10.1007/978-1-4612-3926-0

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1988

  • Softcover ISBN: 978-0-387-96844-5Published: 26 September 1988

  • eBook ISBN: 978-1-4612-3926-0Published: 06 December 2012

  • Series ISSN: 0930-0325

  • Series E-ISSN: 2197-7186

  • Edition Number: 1

  • Number of Pages: XIV, 369

  • Topics: Applications of Mathematics

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access