The Quantization of the Cantor Distribution

DOI10.1002/mana.19971830108zbMath0874.28013OpenAlexW1995630624MaRDI QIDQ3124249

Harald Luschgy, Siegfried Graf

Publication date: 11 November 1997

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.19971830108

zbMATH Keywords

Cantor setquantizationsingular measurefractalCantor distribution

Mathematics Subject Classification ID

Probability distributions: general theory (60E05) Fractals (28A80)

Related Items (23)

Unnamed Item ⋮ Canonical sequences of optimal quantization for condensation measures ⋮ Optimal quantization for uniform distributions on Cantor-like sets ⋮ Asymptotic quantization of probability distributions ⋮ Least upper bound of the exact formula for optimal quantization of some uniform Cantor distributions ⋮ Quantization for a probability distribution generated by an infinite iterated function system ⋮ Some remarks on absolute continuity and quantization of probability measures ⋮ Asymptotic optimality of scalar Gersho quantizers ⋮ Optimal quantization for the Cantor distribution generated by infinite similutudes ⋮ Quantization dimensions of compactly supported probability measures via Rényi dimensions ⋮ Optimal quantizers for a nonuniform distribution on a Sierpiński carpet ⋮ Optimal quantization for dyadic homogeneous Cantor distributions ⋮ Optimal quantization of probabilities concentrated on small balls ⋮ Quantization coefficients for uniform distributions on the boundaries of regular polygons ⋮ Quantization dimension of probability measures supported on Cantor-like sets ⋮ Asymptotic order of quantization for Cantor distributions in terms of Euler characteristic, Hausdorff and packing measure ⋮ Quantization for uniform distributions of Cantor dusts on $\mathbb{R}^2$ ⋮ Quantization for uniform distributions on stretched Sierpiński triangles ⋮ Optimal quantization for mixed distributions ⋮ Optimal quantization via dynamics ⋮ High precision numerical computation of principal points for univariate distributions ⋮ Quantization dimension of random self-similar measures ⋮ Optimal quantization for some triadic uniform Cantor distributions with exact bounds

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