Rate of convergence of uniform transport processes to a Brownian sheet

Abstract

We give the rate of convergence to a Brownian sheet from a family of processes constructed starting from a set of independent standard Poisson processes. These processes have realizations that converge almost surely to the Brownian sheet, uniformly in the unit square.

Keywords

• rate of convergence
• brownian sheet
• almost sure convergence
• 60g15
• 60b10