ENGLISH

Foundations of Quantization for Probability Distributions

By Siegfried Graf , Harald Luschgy (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
2000
ISBN
3540673946, 9783540673941
DOI
10.1007/BFb0103945
ISSN
0075-8434
Open Library ID
OL9063336M
Language
english
Format
DJVU
Filesize
1 MB (1217814 bytes)
Series
Lecture Notes in Mathematics 1730
Edition
1
Pages
230\237
Library
Kolxo3
DPI
300
Time added
2009-07-20 03:45:11
NetworksProbability Theory and Stochastic Processes; Stati

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.

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