Foundations of Quantization for Probability Distributions (Lecture Notes in Mathematics)
Edition: 1 edition
Publisher: Springer
Published: June 16, 2000
Language: eng
Format: Paperback
Number of pages: 230
ISBN-13: 9783540673941
Subjects: Probability & statistics; Probability & Statistics - General; General; Mathematical Statistics; Probabilities; Mathematics; Medical / Nursing; Science/Mathematics; Computer Vision; Computers : Computer Vision; Mathematics / Statistics; Mathematics : Probability & Statistics - General; Medical / General; asymptotics; data compression; fractal geometry; Coding theory; Cluster analysis; Distribution (Probability theo; Distribution (Probability theory); Fractals
First sentence: The term "quantization" in the title originates in the theory of signal processing.
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.