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The Consistency ot the Empirical Quantization Error

Pötzelberger, Klaus (1999) The Consistency ot the Empirical Quantization Error. Forschungsberichte / Institut für Statistik, 70. Department of Statistics and Mathematics, WU Vienna University of Economics and Business, Vienna.

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Abstract

We study the empirical quantization error in case the number of prototypes increases with the size of the sample. We present a proof of the consistency of the empirical quantization error and of corresponding estimators of the quantization dimensions of distributions. (author's abstract)

Item Type: Paper
Keywords: Quantization dimension / quantization error / dimension estimation / dimension of a distribution
Classification Codes: MSC 60F15, 60F05, 62G20, 28A75
Divisions: Departments > Finance, Accounting and Statistics > Statistics and Mathematics
Depositing User: Repository Administrator
Date Deposited: 12 Jul 2006 07:40
Last Modified: 09 Jun 2011 12:51
URI: http://epub.wu.ac.at/id/eprint/1790

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