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On the 'triples test' for symmetry

Randles et al. (1980) and Davis and Quade (1978) independently proposed an asymptotically distribution-free test for testing symmetry about an unknown point. In this note, it has been shown that if X is convex ordered with respect to -- X, then the one-sided test is consistent, thus solving an open problem of Randles et al. (1980).
Year of publication:
1992
Authors: Kochar, Subhash C.
Published in:
Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 14.1992, 4, p. 311-312
Publisher: Elsevier
Subject: Symmetry U-statistic convex-ordering nonparametric test
Type of publication: Article
Source:
Persistent link: https://www.econbiz.de/10005223448
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