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OALib Journal期刊
ISSN: 2333-9721
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Shannon-Khinchin公理的Ulam稳定性
Keywords: 拟可加性,Shannon-Khinchin公理,Havrda-Charvat熵,Ulam稳定性
Abstract:
熵作为衡量随机变量的统计期望值，是信息度量的重要方式.典型的香农熵给出了经典概率信息的完美度量标准，但无法完全刻画复杂信息.Havrda-Charvat熵作为香农熵的单参数扩展，在诸如计算机、信息论和统计物理等领域得到广泛研究.这种信息测度可由非扩展系统的多个公理来刻画.研究这些公理中的Shannon-Khinchin公理和一般化公理的Ulam稳定性.证明了某些公理条件的弱可扰动性.
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