Bibliografie

(eng): We discuss Chernoff-type large deviation results for the total variation, the I-divergence errors, and the chi-square-divergence errors on partitions. In contrast to the total variation and the I-divergence, the chi-square-divergence has an unconventional large deviation rate. Applications to Bahadur efficiencies of goodness-of-fit tests based on these divergence measures for multivariate observations are given.