The convergence of estimators, e.g. maximum likelihood estimators, for increasing sample size is well understood in … many cases. However, even when the rate of convergence of the estimator is known, practical application is hampered by the … convergence of the estimator itself with the analysis of the convergence of stochastic optimization algorithms, e.g. threshold …

We characterize convergence of a sequence of d-dimensional random vectors by convergence of the one-dimensional margins … freedom, and to the convergence of certain dependence measures of bivariate distributions. …