Please use this identifier to cite or link to this item: https://dspace.ctu.edu.vn/jspui/handle/123456789/5286
Title: Similar coefficient for cluster of probability density functions
Authors: Võ, Văn Tài
N, T. Thao
Keywords: Cluster
Cluster width
Density
Non hierarchical approach
Similar coefficent
Issue Date: 2017
Series/Report no.: Communications in Statistics-Theory and Methods;47 .- p.1792-1811
Abstract: In this article, we propose a new criterion to evaluate the similarity of probability density functions (pdfs). We call this the criterion on similar coefficient of cluster (SCC) and use it as a tool to deal with overlap coefficients of pdfs in normal standard on [0;1]. With the support of the self-update algorithm for determining the suitable number of clusters, SCC then becomes a criterion to establish the corresponding cluster for pdfs. Moreover, some results on determination of SCC in case of two and more than two pdfs as well as relations of different SCCs and other measures are presented. The numerical examples in both synthetic data and real data are given not only to illustrate the suitability of proposed theories and algorithms but also to demonstrate the applicability and innovation of the proposed algorithm.
URI: http://localhost:8080//jspui/handle/123456789/5286
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