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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.

Distribution (Probability theory) --- Cluster analysis --- Fractals --- Clusteranalyse --- Clusters (Analyse des) --- Coderingstheorie --- Codification [Théorie de ] --- Coding theory --- Distribution (Théorie des probabilités) --- Fractales --- Grappe [Technique de ] --- Théorie de codification --- Verdeling (Waarschijnlijkheidstheorie) --- Probabilities. --- Statistics . --- Pattern recognition. --- Operations research. --- Decision making. --- Electrical engineering. --- Probability Theory and Stochastic Processes. --- Statistical Theory and Methods. --- Pattern Recognition. --- Operations Research/Decision Theory. --- Communications Engineering, Networks. --- Deciding --- Decision (Psychology) --- Decision analysis --- Decision processes --- Making decisions --- Management --- Management decisions --- Choice (Psychology) --- Problem solving --- Operational analysis --- Operational research --- Industrial engineering --- Management science --- Research --- System theory --- Design perception --- Pattern recognition --- Form perception --- Perception --- Figure-ground perception --- Statistical analysis --- Statistical data --- Statistical methods --- Statistical science --- Mathematics --- Econometrics --- Probability --- Statistical inference --- Combinations --- Chance --- Least squares --- Mathematical statistics --- Risk --- Electric engineering --- Engineering --- Decision making