Foundations of quantization for probability distributions

Bibliographic Information

Foundations of quantization for probability distributions

Siegfried Graf, Harald Luschgy

(Lecture notes in mathematics, 1730)

Springer, c2000

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Note

Includes bibliographical references (p. [215]-224) and index

Description and Table of Contents

Description

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

General properties of the quantization for probability distributions.- Asymptotic quantization for nonsingular probability distributions.- Asymptotic quantization for singular probability distributions.

by "Nielsen BookData"

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Details

  • NCID
    BA46835568
  • ISBN
    • 3540673946
  • Country Code
    gw
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    Berlin
  • Pages/Volumes
    x, 230 p.
  • Size
    24 cm
  • Parent Bibliography ID
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