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http://dx.doi.org/10.5351/CKSS.2011.18.3.391

Identification of Cluster with Composite Mean and Variance  

Kim, Seung-Gu (Department of Data & Information, Sangji University)
Publication Information
Communications for Statistical Applications and Methods / v.18, no.3, 2011 , pp. 391-401 More about this Journal
Abstract
Consider a cluster, so called a 'son cluster', whose mean and variance is composed of the means and variances of both clusters called as a 'father cluster' and a 'mother cluster'. In this paper, a method for identifying each of three clusters is provided by modeling the relationship with father and mother clusters. Under the normal mixture model, the parameters are estimated via EM algorithm. We were able to overcome the problems of estimation using ECM approximation. Numerical examples show that our method can effectively identify the three clusters, so called a 'family of clusters'.
Keywords
Composite cluster; strength of derivation; family of clusters; normal mixture model; EM algorithm;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
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