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A class of exceedance-type statistics for the two-sample problem
Authors:Eugenia Stoimenova  N. Balakrishnan
Affiliation:a Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Acad. G.Bontchev str., block 8, 1113 Sofia, Bulgaria
b Department of Mathematics and Statistics, McMaster University, Hamilton, ON, Canada L8S 4K1
Abstract:We consider here a class of test statistics based on exceeding observations and develop exceedance-type tests for the two-sample hypothesis testing problem. The exact distribution of the statistics are derived under the null hypothesis as well as under the Lehmann alternative, and then a comparative power study is carried out.
Keywords:Rank tests   Two-sample problem   Lehmann alternative   Exceedance statistics
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