Foundations of quantization for probability distributions / Siegfried Graf, Harald Luschgy.

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Bibliographic Details
Online Access: Full Text (via Internet Archive)
Main Author: Graf, Siegfried, 1949-
Other Authors: Luschgy, Harald, 1949-
Format: eBook
Language:English
Published: Berlin ; New York : Springer, ℗♭2000.
Series:Lecture notes in mathematics (Springer-Verlag) ; 1730.
Subjects:

MARC

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245 1 0 |a Foundations of quantization for probability distributions /  |c Siegfried Graf, Harald Luschgy. 
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490 1 |a Lecture notes in mathematics,  |x 0075-8434 ;  |v 1730. 
504 |a Includes bibliographical references (pages 215-224) and index. 
505 0 |a II. General properties of the quantization for probability distributions -- 1. Voronoi partitions -- 2. Centers and moments of probability distributions -- 3. The quantization problem -- 4. Basic Properties of optimal quantizers -- 5. Uniqueness and optimality in one dimension -- II. Asymptotic quantization for nonsingular probability distributions -- 6. Asymptotics for the quantization error -- 7. Asymptotically optimal quantizes -- 8. Regular quantizers and quantization coefficients -- 9. Random quantizers and quantization coefficients -- 10. Asymptotics for the covering radius -- III. Asymptotic quantization for singular probability distributions -- 11. The quantization dimension -- 12. Regular sets and measures of dimension D -- 13. Rectifiable curves -- 14. Self-similar sets and measures -- Appendix: Univariate distributions. 
650 0 |a Distribution (Probability theory) 
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