Asymptotic behavior of tail density for sum of correlated lognormal variables.
Gao, Xin, Xu, Hong, Ye, Dong (2009)
International Journal of Mathematics and Mathematical Sciences
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Gao, Xin, Xu, Hong, Ye, Dong (2009)
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International Journal of Mathematics and Mathematical Sciences
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We present a test for identifying clusters in high dimensional data based on the k-means algorithm when the null hypothesis is spherical normal. We show that projection techniques used for evaluating validity of clusters may be misleading for such data. In particular, we demonstrate that increasingly well-separated clusters are identified as the dimensionality increases, when no such clusters exist. Furthermore, in a case of true bimodality, increasing the dimensionality makes identifying...
Hoorfar, Abdolhossein, Hassani, Mehdi (2008)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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