 |
|
|
|
| HAL: hal-00019228, version 1 |
| arXiv: math.PR/0602381 |
| Detailed view |  Export this paper |
|
|
|
|
| Distortion mismatch in the quantization of probability measures |
|
|
| Siegried Graf 1Harald Luschgy 2 |
|
|
| (2006-02-17) |
|
|
|
| We elucidate the asymptotics of the L^s-quantization error induced by a sequence of L^r-optimal n-quantizers of a probability distribution P on R^d when s>r. In particular we show that under natural assumptions, the optimal rate is preserved as long as s |
|
|
|
|
|
|
|
|
|
|
|
| 1: | Fakultät für Mathematik und Informatik (UNIVERSITÄT PASSAU) |
|
|
|
Universität Passau |
|
|
| 2: | FB IV-Mathematik |
|
|
|
Universität Trier |
|
|
| 3: | Laboratoire de Probabilités et Modèles Aléatoires (LPMA) |
|
|
|
CNRS : UMR7599 – Université Paris VI - Pierre et Marie Curie – Université Paris VII - Paris Diderot |
|
|
|
|
|
|
|
|
|
| Subject | : | Mathematics/Probability |
|
|
| Optimal quantization – Zador Theorem – numerical integration |
|
|
|
| Attached file list to this document: | ||||||||||
|
||||||||||
|
|
|
| hal-00019228, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00019228 | |
| oai:hal.archives-ouvertes.fr:hal-00019228 | |
| From: Gilles Pagès | |
| Submitted on: Friday, 17 February 2006 17:24:12 | |
| Updated on: Friday, 17 February 2006 17:27:29 | |
