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Rank Tests Based on Exceeding Observations
Authors:Eugenia Stoimenova
Affiliation:(1) Institute of Mathematics, Bulgarian Academy of Sciences, Acad. G. Bontchev str. bl.8, 1113 Sofia, Bulgaria
Abstract:Rank tests based on the maximum number of exceeding observations for several standard nonparametric hypotheses are proposed. An approach to constructing nonparametric rank tests via metrics on the permutation group is used. The test statistics are based on a metric induced by Chebyshev's norm.
Keywords:Induced rank test statistic  location problem  multi-sample problems  partial rankings  metric on permutations  invariance  Chebyshev's metric  subgroups of permutations
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