Data mining has brought a new philosophy in data analysis that is primarily driven by computational efficiency and predictive performance. In this paper we attempt to show that while this new philosophy opens new horizons, these new techniques may themselves gain much when coupled with traditional statistical reasoning. For example, I recently introduced some sociologists of the University of G...

In this paper we consider the construction of optimal tests of equivalence hypotheses. Specifically, assume X1, . . . ,Xn are i.i.d. with distribution Pθ, with θ ∈ R . Let g(θ) be some real-valued parameter of interest. The null hypothesis asserts g(θ) / ∈ (a, b) versus the alternative g(θ)∈ (a, b). For example, such hypotheses occur in bioequivalence studies where one may wish to show two drug...

Suppose that one observes a process Y on the unit interval, where dY t = n1/2f t dt+dW t with an unknown function parameter f, given scale parameter n ≥ 1 (“sample size”) and standard Brownian motion W. We propose two classes of tests of qualitative nonparametric hypotheses about f such as monotonicity or concavity. These tests are asymptotically optimal and adaptive in a certain sense. They ar...

We propose herein a novel unified framework that uses a developed hybrid fuzzy-neuro system in order to evaluate the impact of inheritance aspects on the evolvability of a class library, and to study the relevance of using inheritance as indicator of class interface stability with respect to version change. To this goal, we propose a novel computational granular unified framework that is cognit...