The Quantization of the Cantor Distribution
Identifieur interne : 002459 ( Main/Exploration ); précédent : 002458; suivant : 002460The Quantization of the Cantor Distribution
Auteurs : S. Graf ; H. LuschgySource :
- Mathematische Nachrichten [ 0025-584X ] ; 1997.
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Abstract
For a real‐valued random variable whose distribution is the classical Cantor probability, the n ‐ quantization error and the n ‐ optimal quantization rules are calculated for every natural number n. Moreover, the connection between the rate of convergence of the logarithms of the quantization errors for n going to infinity and the Hausdorff dimension of the Cantor set is indicated.
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DOI: 10.1002/mana.19971830108
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