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REDUCED DISTANCE MEASURES AND TRANSFORMATIONS IN PROCESSING MULTIVARIATE OUTLIERS
Authors:Vic Barnett
Affiliation:University of Sheffield
Abstract:The study of multivariate outliers raises many problems of definition, principle and manipulation. Well-authenticated tests of discordancy exist only for the multivariate normal distribution. Detection of outliers in non-normal distributions involves the adoption of appropriate criteria to represent 'extremeness' of observations in a sample; corresponding tests of discordancy usually require tedious, or even intractable, distributional and computational manipulations. A class of transformations of the data is considered with a view of transferring some of the familiar and desirable features of discordancy tests for normal samples to non-normal situations.
Keywords:Multivariate outliers    Tests of discordancy    Normal data    Non-normal data    Reduced ordering    Reduced measures transformations    Bivariate exponential distribution    Bivariate Pareto distribution
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