Foundations of Quantization for Probability Distributions / Edition 1

Foundations of Quantization for Probability Distributions / Edition 1

by Siegfried Graf, Harald Luschgy, Zhiqiang Wu
     
 

ISBN-10: 3540673946

ISBN-13: 9783540673941

Pub. Date: 06/16/2000

Publisher: Springer Berlin Heidelberg

Due to the rapidly increasing need for methods of data compression, qu antization has become a flourishing field in signal and image processi ng and information theory. The same techniques are also used in statis tics (cluster analysis), pattern recognition, and operations research (optimal location of service centers). The book gives the first mathem atically

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Overview

Due to the rapidly increasing need for methods of data compression, qu antization has become a flourishing field in signal and image processi ng and information theory. The same techniques are also used in statis tics (cluster analysis), pattern recognition, and operations research (optimal location of service centers). The book gives the first mathem atically rigorous account of the fundamental theory underlying these a pplications. The emphasis is on the asymptotics of quantization errors for absolutely continuous and special classes of singular probabiliti es (surface measures, self-similar measures) presenting some new resul ts for the first time. Written for researchers and graduate students i n probability theory the monograph is of potential interest to all peo ple working in the disciplines mentioned above.

Product Details

ISBN-13:
9783540673941
Publisher:
Springer Berlin Heidelberg
Publication date:
06/16/2000
Series:
Lecture Notes in Mathematics Series, #1730
Edition description:
2000
Pages:
230
Product dimensions:
6.10(w) x 9.25(h) x 0.02(d)

Table of Contents

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

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