| Article ID: | iaor20115077 |
| Volume: | 217 |
| Issue: | 19 |
| Start Page Number: | 7762 |
| End Page Number: | 7771 |
| Publication Date: | Jun 2011 |
| Journal: | Applied Mathematics and Computation |
| Authors: | Lpez-Daz Miguel |
| Keywords: | partial ordering, stochastic dominance |
A test for the bidirectional stochastic ordering is developed in this paper. The main properties of such a test are investigated. The asymptotic distribution of the statistic of the test is obtained under conditions which allow the construction of critical regions with a specific level of significance. It is also proved that the test is consistent on the whole set of alternatives. An application of such a test to quality control theory is developed.