Title :
A Test of the Gaussian-ness of a Data Set Using Clustering
Author :
Fukunaga, Keinosuke ; Flick, Thomas E.
Author_Institution :
School of Electrical Engineering, Purdue University, West Lafayette, IN 47907.
fDate :
3/1/1986 12:00:00 AM
Abstract :
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.
Keywords :
Covariance matrix; Design methodology; Gaussian distribution; Gaussian processes; Glass; Laboratories; Probability distribution; Statistical distributions; Tail; Testing; Clustering; Gaussian distribution; Gaussian test; ``magnifying glass´´ method; multivariate;
Journal_Title :
Pattern Analysis and Machine Intelligence, IEEE Transactions on
DOI :
10.1109/TPAMI.1986.4767777
