The efficiency of some known tests for symmetry such as the sign test, the Wilcoxon signed-rank test or more general linear signed rank tests was studied mainly under the classical alternatives of location. However it is interesting to compare the efficiencies of these tests under asymmetric...

We compare various kinds of independence tests on samples with random size, in order to provide practitioners with some guidance for their choice based on approximate Bahadur efficiency. Such results are obtained for a wide class of distributions of random index; the efficiency slopes of the...

The efficiency of most known distribution-free goodness-of-fitt tests such as Kolmogorov - Smirnov, Cramér - von Mises and their numerous variants was studied mainly under the classical alternatives of location and scale. However it is interesting to compare the efficiencies of these tests...

Many well-known goodness-of-fit and symmetry tests are based on U- et V-statistics. Recent progress in the analysis of their large deviations enables to find new expressions for their local Bahadur efficiency in case of bounded kernels and to formulate the conditions of local optimality. For...