Several important multivariate probability inequalities can be formulated in terms of multivariate convolutions of the form ∫ $f_{1}(x)f_{2}(x-\theta )dx$, where ...

Vol. 10, No. 1, Special Issue: Proceedings of the Workshop on Functional Analysis, 2004 (January 2006), pp. 13-29 (17 pages) Published By: Mathematical Society of the Republic of China Assume that F ...

Convergence theorems form the backbone of probability theory and statistical inference, ensuring that sequences of random variables behave in a predictable manner as their index grows. These theorems, ...

A decades-old rule in mathematics has just been pushed beyond its long-standing limits, opening new ground for how scientists describe the physical world. At the University of Vaasa in Finland, ...