Quantization for Probability Measures in the Prokhorov Metric

DOI10.1137/S0040585X97983687zbMath1393.60007OpenAlexW1975005993MaRDI QIDQ3556715

Siegfried Graf, Harald Luschgy

Publication date: 26 April 2010

Published in: Theory of Probability & Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0040585x97983687

zbMATH Keywords

entropyquantization dimensionProkhorov metricempirical measuresmultidimensional quantizationKy Fan metricoptimal quantizersasymptotic quantization error

Mathematics Subject Classification ID

Probabilistic measure theory (60A10) Convergence of probability measures (60B10)

Related Items (7)

Mixed quantization dimensions of self-similar measures ⋮ Optimal recovery of isotropic classes of twice-differentiable multivariate functions ⋮ Asymptotics of one-dimensional Lévy approximations ⋮ The lower quantization coefficient of the \(F\)-conformal measure is positive ⋮ High resolution quantization and entropy coding of jump processes ⋮ Best finite approximations of Benford's law ⋮ The replica symmetric phase of random constraint satisfaction problems

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