Foundations of quantization for probability distributions
Author(s)
Bibliographic Information
Foundations of quantization for probability distributions
（Lecture notes in mathematics, 1730）
Springer, c2000
Available at / 84 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
L/N||LNM||173078800014
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Note
Includes bibliographical references (p. [215]-224) and index
Description and Table of Contents
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.
Table of Contents
General properties of the quantization for probability distributions.- Asymptotic quantization for nonsingular probability distributions.- Asymptotic quantization for singular probability distributions.
by "Nielsen BookData"