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Selected Works of David Brillinger

  • Book
  • © 2012

Overview

Editors:
  1. Peter Guttorp

    1. , Department of Statistics, University of Washington, Seattle, USA

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    You can also search for this editor in PubMed   Google Scholar

  2. David Brillinger

    1. Dept. Statistics, University of California, Berkeley, USA

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    You can also search for this editor in PubMed   Google Scholar

  • Provides convient access to significant papers from a highly regarded author working at a time when many of the foundational building blocks of probability and statistics were being put in place
  • Includes “author’s pick” of his favorite papers
  • Includes a complete bibliography
  • Includes supplementary material: sn.pub/extras

Part of the book series: Selected Works in Probability and Statistics (SWPS)

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Table of contents (35 chapters)

  1. Front Matter

    Pages i-lxxi
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  2. Theoretical Statistics

    1. Front Matter

      Pages 1-1
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    2. Commentary by Victor M. Panaretos

      • Peter Guttorp, David Brillinger
      Pages 3-9

    3. Necessary and sufficient conditions for a statistical problem to be invariant under a Lie group

      • David R. Brillinger
      Pages 11-19

    4. An Asymptotic Representation of the Sample Distribution Function

      • David Brillinger
      Pages 21-23

    5. The Spectral Analysis of Stationary Interval Functions

      • David R. Brillinger
      Pages 25-55

    6. On The Number of Solutions of Systems of Random Equations

      • David R. Brillinger
      Pages 57-63

    7. Asymptotic Normality of Finite Fourier Transforms of Stationary Generalized Processes

      • David R. Brillinger
      Pages 65-72

    8. A Particle Migrating Randomly on a Sphere

      • David R. Brillinger
      Pages 73-87

    9. Some Statistical Methods for Random Process Data from Seismology and Neurophysiology

      • David R. Brillinger
      Pages 89-142

  3. Time Series Papers

    1. Front Matter

      Pages 143-143
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    2. Commentary by Pedro A. Morettin

      • Peter Guttorp, David Brillinger
      Pages 145-148

    3. An Introduction to Polyspectra

      • David R. Brillinger
      Pages 149-172

    4. Asymptotic Theory of Estimates of kTH-Order Spectra

      • D. R. Brillinger, M. Rosenblatt
      Pages 173-177

    5. Asymptotic properties of spectral estimates of second order

      • David R. Brillinger
      Pages 179-194

    6. Fourier Analysis of Stationary Processes

      • David R. Brillinger
      Pages 195-210

    7. The digital rainbow: Some history and applications of numerical spectrum analysis

      • David R. Brillinger
      Pages 211-229

    8. An investigation of the second- and higher-order spectra of music

      • D. R. Brillinger, R. A. Irizarry
      Pages 231-249

    9. Some Examples of Empirical Fourier Analysis in Scientific Problems

      • David R. Brillinger
      Pages 251-286

    10. Some Examples of Random Process Environmental Data Analysis

      • David R. Brillinger
      Pages 287-322
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Keywords

About this book

This volume contains 30 of David Brillinger's most influential papers. He is an eminent statistical scientist, having published broadly in time series and point process analysis, seismology, neurophysiology, and population biology. Each of these areas are well represented in the book. The volume has been divided into four parts, each with comments by one of Dr. Brillinger's former PhD students. His more theoretical papers have comments by Victor Panaretos from Switzerland. The area of time series has commentary by Pedro Morettin from Brazil. The biologically oriented papers are commented by Tore Schweder from Norway and Haiganoush Preisler from USA, while the point process papers have comments by Peter Guttorp from USA. In addition, the volume contains a Statistical Science interview with Dr. Brillinger, and his bibliography.

Editors and Affiliations

  • , Department of Statistics, University of Washington, Seattle, USA

    Peter Guttorp

  • Dept. Statistics, University of California, Berkeley, USA

    David Brillinger

Bibliographic Information

  • Book Title: Selected Works of David Brillinger

  • Editors: Peter Guttorp, David Brillinger

  • Series Title: Selected Works in Probability and Statistics

  • DOI: https://doi.org/10.1007/978-1-4614-1344-8

  • Publisher: Springer New York, NY

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer Science+Business Media, LLC 2012

  • Hardcover ISBN: 978-1-4614-1343-1Published: 20 December 2011

  • Softcover ISBN: 978-1-4939-4090-5Published: 23 August 2016

  • eBook ISBN: 978-1-4614-1344-8Published: 10 April 2013

  • Series ISSN: 2197-5825

  • Series E-ISSN: 2197-5833

  • Edition Number: 1

  • Number of Pages: LXXI, 613

  • Topics: Statistical Theory and Methods

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