Multinomial interpoint distances

Reza Modarres ()
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Reza Modarres: The George Washington University

Statistical Papers, 2018, vol. 59, issue 1, No 15, 360 pages

Abstract: Abstract We explore the properties of the squared Euclidean interpoint distances (IDs) drawn from multinomial distributions. We consider the distances within one sample and across two samples and obtain their means, variances, covariances and distributions. We discuss applications of IDs for testing goodness of fit, the equality of high dimensional multinomial distributions, classification, and outliers detection. A simulation study compares the performance of the $$\chi ^2$$ χ 2 and the likelihood ratio statistics for testing equality of distributions, with methods based on the IDs.

Keywords: Interpoint distance; Multinomial; High dimension; Testing; 62H10; 60E05 (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1007/s00362-016-0766-7

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