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The asymptotic normality of the Maximum Likelihood Estimator (MLE) is a longestablished result. Explicit bounds for the distributional distance between thedistribution of the MLE and the normal distribution have recently been obtainedfor the case of independent random variables. In this paper, a local dependencestructure is introduced between the random variables and we give upper boundswhich are specified for the Wasserstein metric.

Bounds for the normal approximation of the maximum likelihood estimator from m-dependent random variables