文章基本信息

标题：An Axiomatic Characterization of the Measures of Similarity
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作者：Carlo Bertoluzza ; University of Pavia ; Italy Mario Di Bacco 等
期刊名称：Sankhya. Series A, mathematical statistics and probability
印刷版ISSN：0976-836X
电子版ISSN：0976-8378
出版年度：2004
卷号：66
期号：03
出版社：Indian Statistical Institute
摘要：Perhaps the most important task of Descriptive Statistics is the comparison of frequency distributions (f.d.s.), i.e. the evaluation of their similarity or dissimilarity. Many indices of similarity (or dissimilarity) have been proposed in the literature. In this paper, we describe the notion of similarity by means of a system of axioms. The numerical representation of this system provides a class of indices of similarity which includes most of those proposed in the literature. Finally, since the fit of a model of an empirical f.d. can be understood as ``asymmetric" similarity, the class of indices described here also includes indices of fit.
关键词：Frequency distributions, measures of similarity, indices of similarity.