Skip to main content
SpringerLink
Log in
Book cover

Foundations of Quantization for Probability Distributions

  • Book
  • © 2000

Overview

Authors:
  1. Siegfried Graf
    View author publications

    You can also search for this author in PubMed   Google Scholar

  2. Harald Luschgy
    View author publications

    You can also search for this author in PubMed   Google Scholar

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

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 49.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 64.99
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

Licence this eBook for your library

Institutional subscriptions

Table of contents (4 chapters)

  1. Front Matter

    Pages i-x
    Download chapter PDF

  2. Introduction

    • Siegfried Graf, Harald Luschgy
    Pages 1-5

  3. General properties of the quantization for probability distributions

    • Siegfried Graf, Harald Luschgy
    Pages 7-75

  4. Asymptotic quantization for nonsingular probability distributions

    • Siegfried Graf, Harald Luschgy
    Pages 77-154

  5. Asymptotic quantization for singular probability distributions

    • Siegfried Graf, Harald Luschgy
    Pages 155-207

  6. Back Matter

    Pages 209-230
    Download chapter PDF
Back to top

Keywords

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.

Bibliographic Information

Publish with us

Policies and ethics

Back to top

Search

Navigation