In [16] we obtained an effective quantitative analysis of a theorem due to Borwein, Reich and Shafrir on the asymptotic behavior of general KrasnoselskiMann iterations for nonexpansive self-mappings of convex sets C in arbitrary normed spaces. We used this result to obtain a new strong uniform version of Ishikawa’s theorem for bounded C. In this paper we give a qualitative improvement of our re...

We present a general method for extracting the Gell Mann-Low logarithmic derivative of an e ective charge of an observable directly from data as a mean for empirically verifying the universal terms of the QCD -function. Our method avoids the biases implicit in tting to QCD-motivated forms as well as the interpolation errors introduced by constructing derivatives from discrete data. We also deri...

Let {X1, . . . , Xm} and {Y1, . . . , Yn} be two samples independent of each other, but the random variables within each sample are stationary associated with one dimensional marginal distribution functions F and G, respectively. We study the properties of the classical WilcoxonMann-Whitney statistic for testing for stochastic dominance in the above set up.