Optimal quantization for uniform distributions on Cantor-like sets

DOI10.1007/s10440-008-9278-3zbMath1188.28008OpenAlexW2055303851MaRDI QIDQ2391006

Wolfgang Kreitmeier

Publication date: 24 July 2009

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://opus4.kobv.de/opus4-uni-passau/files/95/quant_cant_02.pdf

zbMATH Keywords

uniform distributionoptimal quantizationCantor-like set

Mathematics Subject Classification ID

Classification and discrimination; cluster analysis (statistical aspects) (62H30) Fractals (28A80)

Related Items (3)

Asymptotics of one-dimensional Lévy approximations ⋮ Error bounds for high-resolution quantization with Rényi-\(\alpha\)-entropy constraints ⋮ Asymptotic order of quantization for Cantor distributions in terms of Euler characteristic, Hausdorff and packing measure

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• Stability of quantization dimension and quantization for homogeneous Cantor measures

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