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The Quantization of the Cantor Distribution

✍ Scribed by S. Graf; H. Luschgy

Publisher
John Wiley and Sons
Year
1997
Tongue
English
Weight
663 KB
Volume
183
Category
Article
ISSN
0025-584X

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✦ Synopsis

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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