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A Note on Limit Theorems for Multivariate Martingales

A Note on Limit Theorems for Multivariate Martingales

Multivariate versions of the law of large numbers and the central limit theorem for martingales are given in a generality that is often necessary when studying statistical inference for stochastic process models.To illustrate the usefulness of the results, we consider estimation for a multi-dimensional Gaussian di usion, where results on …