Cover Image

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

Show other versions (2)

Saved in:

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:	Distribution (Probability theory) Cluster analysis. Fractals. Coding theory.

Table of Contents:

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.