Geodesic
Two-sample rank tests based on exceeding observations
Applications of Mathematics, Tome 52 (2007) no. 4, pp. 345-352 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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

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