Foundations of Quantization for Probability Distributions: 1730 (Lecture Notes in Mathematics, 1730) - Softcover

Graf, Siegfried; Luschgy, Harald

 
9783540673941: Foundations of Quantization for Probability Distributions: 1730 (Lecture Notes in Mathematics, 1730)

Synopsis

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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9783662168271: Foundations of Quantization for Probability Distributions

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ISBN 10:  3662168278 ISBN 13:  9783662168271
Publisher: Springer, 2014
Softcover