1 code implementation • 11 Jun 2020 • Jaspar Wiart, Elaine Wong
We investigate base $b$ Walsh functions for which the variance of the integral estimator based on a scrambled $(0, m, s)$-net in base $b$ is less than or equal to that of the Monte-Carlo estimator based on the same number of points.
Numerical Analysis Numerical Analysis Symbolic Computation
1 code implementation • 23 Mar 2019 • Jaspar Wiart, Christiane Lemieux, Gracia Y. Dong
In this paper we develop a framework to study the dependence structure of scrambled point sets, with a focus on scrambled digital $(t, m, s)$-nets.
Probability