Statistics Seminar

Abstract: This talk introduces a unifying approach to the analysis of grouped data which allows us to study the class of divisible statistics - that includes Pearson's  2 , the likelihood ratio, as special cases - from a new perspective. Such a study reveals that no single divisible statistic is adequate for goodness-of-fit. Moreover, in a sparse regime, all tests proposed in the literature are dominated by a class of weighted linear statistics. The construction of goodness-of-fit distribution-free tests is also discussed.