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Asymptotic quantization of probability distributions

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Analysis in Theory and Applications

Abstract

We give a brief introduction to results on the asymptotics of quantization errors. The topics discussed include the quantization dimension, asymptotic distributions of sets of prototypes, asymptotically optimal quantizations, approximations and random quantizations.

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Authors and Affiliations

  1. Department of Statistics, Vienna University of Economics and Business Administration, Augasse 2-6, A-1090, Vienna, Austria

    Klaus Pötzelberger

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  1. Klaus Pötzelberger
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Correspondence to Klaus Pötzelberger.

Additional information

This paper was presented in the Fractal Satellite Conference of ICM 2002 in Nanjing.

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Pötzelberger, K. Asymptotic quantization of probability distributions. Anal. Theory Appl. 19, 355–364 (2003). https://doi.org/10.1007/BF02835534

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  • DOI: https://doi.org/10.1007/BF02835534

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