This article revisits the Diffusion Operator Integral (DOI) variance reduction technique originally proposed in Heath and Platen (2002) extends its theoretical concept to pricing of America...

Good lattice rules are an important type of quasi-Monte Carlo algorithms. They are known to have good theoretical properties, in the sense that they can achieve an error bound (or optimal error bound) that is independent of the dimension for weighted spaces with suitably decaying weights. To use the theory of weighted function spaces for practical applications, one has to determine what weights...