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 ...

We derive new explicit bounds for the total variation distance between two convolution products of n ∈ N probability distributions, one of which having identical convolution factors. Approximations by ...

Adam Hayes, Ph.D., CFA, is a financial writer with 15+ years Wall Street experience as a derivatives trader. Besides his extensive derivative trading expertise, Adam is an expert in economics and ...

Think about a baseball game. The batter has to decide whether and how to hit the incoming pitch. He needs to judge the position and speed of the ball, given his own visual uncertainty, and to estimate ...