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  • © 2000

Foundations of Quantization for Probability Distributions

Part of the book series: Lecture Notes in Mathematics (LNM, volume 1730)

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Table of contents (4 chapters)

  1. Front Matter

    Pages i-x
  2. Introduction

    • Siegfried Graf, Harald Luschgy
    Pages 1-5
  3. Asymptotic quantization for nonsingular probability distributions

    • Siegfried Graf, Harald Luschgy
    Pages 77-154
  4. Asymptotic quantization for singular probability distributions

    • Siegfried Graf, Harald Luschgy
    Pages 155-207
  5. Back Matter

    Pages 209-230

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.

Keywords

  • Cluster analysis
  • Measure
  • Pattern Recognition
  • Probability distribution
  • Probability theory
  • data compression
  • image processing
  • information
  • information theory
  • operations research
  • sets

Bibliographic Information

Buying options

eBook USD 44.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 59.99
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions