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The General Quantization Problem for Distributions with Regular Support

Pötzelberger, Klaus (1999) The General Quantization Problem for Distributions with Regular Support. Forschungsberichte / Institut für Statistik, 69. Department of Statistics and Mathematics, WU Vienna University of Economics and Business, Vienna.

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Abstract

We study the asymptotic behavior of the quantization error for general information functions and prove results for distributions P with regular support. We characterize the information functions for which the uniform distribution on the set of prototypes converges weakly to P. (author's abstract)

Item Type: Paper
Keywords: Quantization error / quantization dimension / k-means clustering / principal points / Theorem of Zador
Classification Codes: MSC 60D05, 62H30, 68T10
Divisions: Departments > Finance, Accounting and Statistics > Statistics and Mathematics
Depositing User: Repository Administrator
Date Deposited: 12 Jul 2006 07:38
Last Modified: 10 Jun 2011 11:00
URI: http://epub.wu.ac.at/id/eprint/1508

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