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.