Rates of convergence for the empirical quantization error

Annals of Probability

Volumn 30, Issue 2, 2002, Pages 874-897

  Graf, Siegfried ^a   Luschgy, Harald ^a  

^a UNIVERSITY OF PASSAU   (Germany)

Author keywords

Empirical measure; Empirical process; Empirical quantization error; Lr error; Multidimensional quantization

Indexed keywords

EID: 0036018192     PISSN: 00911798     EISSN: None     Source Type: Journal    
DOI: 10.1214/aop/1023481010     Document Type: Conference Paper

References (13)

1. Probability inequalities for empirical processes and a law of the iterated logarithm
2. The quantization dimension of self-similar distributions
3. Steinhaus's geometric location problem for random samples in the plane
4. Probability inequalities for sums of bounded random variables
5. A space vector quantization method for numerical integration
6. A concentration inequality for the k-median problem
7. The transportation cost from the uniform measure to the empirical measure in dimension ≥ 3
8. Asymptotic properties of univariate sample k-means clusters
9. Probabilistic analysis of geometric location problems