Quantization of probability distributions under norm-based distortion measures. II: Self-similar distributions

DOI10.1016/J.JMAA.2005.06.022zbMath1088.60011OpenAlexW2131733256MaRDI QIDQ2488771

Gilles Pagès, Harald Luschgy, Sylvain Delattre, Siegfried Graf

Publication date: 16 May 2006

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2005.06.022

zbMATH Keywords

Weak convergenceEmpirical measureHigh-rate vector quantizationLocal distortionNorm-difference distortionPoint density measureSelf-similar measures

Mathematics Subject Classification ID

Order statistics; empirical distribution functions (62G30) Distribution theory (60E99) Sampling theory in information and communication theory (94A20)

Cites Work

• Unnamed Item
• Optimal quantization
• Optimum quantization and its applications
• Foundations of quantization for probability distributions
• The point density measure in the quantization of self-similar probabilities
• Quantization of probability distributions under norm-based distortion measures
• The quantization error of self-similar distributions
• On the existence of optimal quantizers (Corresp.)
• The Quantization Dimension of Self–Similar Probabilities
• High-resolution source coding for non-difference distortion measures: multidimensional companding
• Asymptotic performance of vector quantizers with a perceptual distortion measure

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