Geodesic
Two-sample rank tests based on exceeding observations
Applications of Mathematics, Tome 52 (2007) no. 4, pp. 345-352.

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Simple rank statistics are used to test that two samples come from the same distribution. Šidák’s $E$-test (Apl. Mat. 22 (1977), 166–175) is based on the number of observations from one sample that exceed all observations from the other sample. A similar test statistic is defined in Ann. Inst. Stat. Math. 52 (1970), 255–266. We study asymptotic behavior of the moments of both statistics.
DOI : 10.1007/s10492-007-0019-0
Classification : 62G10, 62G20
Keywords: location problem; $E$-test statistic; $M$-test statistic 
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Stoimenova, Eugenia. Two-sample rank tests based on exceeding observations. Applications of Mathematics, Tome 52 (2007) no. 4, pp. 345-352. doi : 10.1007/s10492-007-0019-0. http://geodesic.mathdoc.fr/articles/10.1007/s10492-007-0019-0/

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