Analysis in Theory and Applications

, Volume 19, Issue 4, pp 355–364 | Cite as

Asymptotic quantization of probability distributions

  • Klaus Pötzelberger


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.

Key Words

Dimension quantization self-similar prototypes asymptotic distribution 

AMS (2000) subject classification

60D05 18A80 62H30 


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Copyright information

© Springer 2003

Authors and Affiliations

  1. 1.Department of StatisticsVienna University of Economics and Business AdministrationViennaAustria

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