TY - INPR A1 - Kreitmeier, Wolfgang T1 - Optimal quantization of probabilities concentrated on small balls N2 - We consider probability distributions which are uniformly distributed on a disjoint union of balls with equal radius. For small enough radius the optimal quantization error is calculated explicitly in terms of the ball centroids. We apply the results to special self-similar measures. KW - Maßtheorie KW - Quantisierung KW - Iteriertes Funktionensystem KW - Schwerpunkt KW - optimal quantization KW - centroid KW - self-similar probabilities Y1 - 2008 UR - https://opus4.kobv.de/opus4-uni-passau/frontdoor/index/index/docId/93 UR - https://nbn-resolving.org/urn:nbn:de:bvb:739-opus-12010 ER -