Before revision:  The result has important practical implications for consistent single-step and multi-step simulation of multivariate arrival times in a way that does not destroy dependence through iterations, as happens when inconsistently iterating a Gaussian copula.
After revision:  The result has important practical implications for consistent single-step and multi-step simulation of multivariate arrival times in a way that does not destroy dependency through iterations, as happens when inconsistently iterating a Gaussian copula.