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The Quantization of the Cantor Distribution

 

作者: S. Graf,   H. Luschgy,  

 

期刊: Mathematische Nachrichten  （WILEY Available online 1997）
卷期: Volume 183, issue 1  

页码: 113-133

 

ISSN:0025-584X

 

年代: 1997

 

DOI:10.1002/mana.19971830108

 

出版商: WILEY‐VCH Verlag

 

关键词: Quantization;Cantor distribution

 

数据来源: WILEY

 

摘要:

AbstractFor a real‐valued random variable whose distribution is the classical Cantor probability, then‐ quantization error and then‐ optimal quantization rules are calculated for every natural numbern. Moreover, the connection between the rate of convergence of the logarithms of the quantization errors forngoing to infinity and the Hausdorff dimension of the Cantor set is indi

 

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