On the 'triples test' for symmetry

Subhash C. Kochar

Statistics & Probability Letters, 1992, vol. 14, issue 4, 311-312

Abstract: 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).

Keywords: Symmetry; U-statistic; convex-ordering; nonparametric; test (search for similar items in EconPapers)
Date: 1992
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