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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