Resource title

The Quantization Dimension of Distributions

Resource image

image for OpenScout resource :: The Quantization Dimension of Distributions

Resource description

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 packing and the upper box-counting dimension, whereas the lower quantization dimension is between the Hausdorff and the lower box-counting dimension. (author's abstract) ; Series: Forschungsberichte / Institut für Statistik

Resource author

Klaus Pötzelberger

Resource publisher

Resource publish date

Resource language

en

Resource content type

application/pdf

Resource resource URL

http://epub.wu.ac.at/1430/1/document.pdf

Resource license

Adapt according to the license agreement. Always reference the original source and author.