Inapplicability of asymptotic results on the minimal spanning tree in statistical testing

Caroni, C; Prescott, P

dc.contributor.author	Caroni, C	en
dc.contributor.author	Prescott, P	en
dc.date.accessioned	2014-03-01T01:17:58Z
dc.date.available	2014-03-01T01:17:58Z
dc.date.issued	2002	en
dc.identifier.issn	0047-259X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/14737
dc.subject	Asymptotic distribution	en
dc.subject	Extreme values	en
dc.subject	Gap test	en
dc.subject	Minimal spanning tree	en
dc.subject	Multivariate normal	en
dc.subject	Order statistics	en
dc.subject	Outliers	en
dc.subject	Uniform distribution	en
dc.subject.classification	Statistics & Probability	en
dc.subject.other	OUTLIERS	en
dc.title	Inapplicability of asymptotic results on the minimal spanning tree in statistical testing	en
heal.type	journalArticle	en
heal.identifier.primary	10.1006/jmva.2001.2064	en
heal.identifier.secondary	http://dx.doi.org/10.1006/jmva.2001.2064	en
heal.language	English	en
heal.publicationDate	2002	en
heal.abstract	Penrose has given asymptotic results for the distribution of the longest edge of the minimal spanning tree and nearest neighbour graph for sets of multivariate uniformly or normally distributed points. We investigate the applicability of these results to samples of up to 100 points, in up to 10 dimensions. We conclude that the asymptotic results provide an acceptable approximation only in the uniform case. Their inaccuracy for the multivariate normal case means that they cannot be applied to improve Rohlf's gap test for an outlier in a set of multivariate data points, which depends on the longest edge of the minimal spanning tree of the Set. (C) 2002 Elsevier Science (USA).	en
heal.publisher	ACADEMIC PRESS INC ELSEVIER SCIENCE	en
heal.journalName	Journal of Multivariate Analysis	en
dc.identifier.doi	10.1006/jmva.2001.2064	en
dc.identifier.isi	ISI:000179521500012	en
dc.identifier.volume	83	en
dc.identifier.issue	2	en
dc.identifier.spage	487	en
dc.identifier.epage	492	en