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广义熵与样本熵差渐近计算
引用本文:吴敏金.广义熵与样本熵差渐近计算[J].上海师范大学学报(自然科学版),1992(1).
作者姓名:吴敏金
作者单位:华东师范大学教育信息技术系
摘    要:本文引进(k,s)阶广义熵,q阶Shannon熵及q阶Renvi熵。考察其极值性,单调性等基本特性,论述其作为随机模式在主观先验知识条件下不肯定性度量之特征。通过与数据方差的比较,阐明数据熵差作为数据差异性度量的一系列性质。最后利用对数(?)函数给出样本熵差的渐近计算。

关 键 词:Shannon熵  Renyi熵  样本熵差

General Entropy and Asymptotic Calculation of Sampled Entropy Difference
WU MINJIN.General Entropy and Asymptotic Calculation of Sampled Entropy Difference[J].Journal of Shanghai Normal University(Natural Sciences),1992(1).
Authors:WU MINJIN
Institution:WU MINJIN Department of Educational Information Technology
Abstract:The general entropy of(k,s)order is introduced and its extremum and mono tony are also demonstrated.The general Shannon entropy and Renyi entropy of q order can be regarded as a measure of uncertainty under subjectivity.Comparing with data variance,the data entropy difference is a measurement of data variety. Using logarithmic T functions,the asymptotic calculations of sampled entropy differenee are given.
Keywords:Shannon entropy  Renyi entropy  sampled entropy difference
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