The Quantization Dimension of Distributions

We show that the asymptotic behavior of the quantization error allows the definition of dimensions for probability distributions, the upper and the lower quantization dimension. These concepts fit into standard geometric measure theory, as the upper quantization dimension is always between the packi...

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Bibliographic Details
Main Author: Pötzelberger, Klaus
Format: Others
Language:en
Published: Department of Statistics and Mathematics, WU Vienna University of Economics and Business 1999
Online Access:http://epub.wu.ac.at/1430/1/document.pdf