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The properties of the ``magnifying glass'' method of clustering are discussed. These properties, which include unbiased and consistent estimation of the mean for Gaussian distributions and biased and inconsistent estimation of the mean for non-Gaussian distributions, lead to the development of a technique for testing data to determine whether or not it is Gaussian. An example of a non-Gaussian distribution is given to show the sensitivity of the proposed Gaussian test.
Pattern Analysis and Machine Intelligence, IEEE Transactions on (Volume:PAMI-8 , Issue: 2 )
Date of Publication: March 1986