Lecture Notes in Mathematics

Foundations of Quantization for Probability Distributions

Authors: Graf, Siegfried, Luschgy, Harald

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About this book

Due to the rapidly increasing need for methods of data compression, quantization has become a flourishing field in signal and image processing and information theory. The same techniques are also used in statistics (cluster analysis), pattern recognition, and operations research (optimal location of service centers). The book gives the first mathematically rigorous account of the fundamental theory underlying these applications. The emphasis is on the asymptotics of quantization errors for absolutely continuous and special classes of singular probabilities (surface measures, self-similar measures) presenting some new results for the first time. Written for researchers and graduate students in probability theory the monograph is of potential interest to all people working in the disciplines mentioned above.

Table of contents (4 chapters)

  • Introduction

    Graf, Siegfried (et al.)

    Pages 1-5

  • General properties of the quantization for probability distributions

    Graf, Siegfried (et al.)

    Pages 7-75

  • Asymptotic quantization for nonsingular probability distributions

    Graf, Siegfried (et al.)

    Pages 77-154

  • Asymptotic quantization for singular probability distributions

    Graf, Siegfried (et al.)

    Pages 155-207

Buy this book

eBook $54.99
price for USA (gross)
  • ISBN 978-3-540-45577-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $69.95
price for USA
  • ISBN 978-3-540-67394-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Foundations of Quantization for Probability Distributions
Authors
Series Title
Lecture Notes in Mathematics
Series Volume
1730
Copyright
2000
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-45577-6
DOI
10.1007/BFb0103945
Softcover ISBN
978-3-540-67394-1
Series ISSN
0075-8434
Edition Number
1
Number of Pages
X, 230
Topics