31 research outputs found
A continuity property of the convolution
No full textIt is shown that Pn --> P0 weakly (i.e. [latin small letter f with hook][latin small letter f with hook]dPn --> [latin small letter f with hook][latin small letter f with hook]dP0 for every continuous and bounded function [latin small letter f with hook] defined on ) for probability measures Pn, n[epsilon][union or logical sum]{0}, on the Borel subssets of , implies in the sense of Brooks and Chacon for any probability measure P on the Borel subsets of .convolution [omega]2-convergence
Realization of Closed, Convex, and Symmetric Subsets of the Unit Square as Regions of Risk for Testing Simple Hypotheses.
No full textA characterization of the Poisson distribution by convolution properties of one-parameter exponential families
No full textNo abstract
