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

Statistics Theory 2016-09-20 v1 Statistics Theory

Abstract

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

Keywords

Cite

@article{arxiv.1609.05714,
  title  = {Bounds for the normal approximation of the maximum likelihood estimator from m-dependent random variables},
  author = {Andreas Anastasiou},
  journal= {arXiv preprint arXiv:1609.05714},
  year   = {2016}
}

Comments

13 pages

R2 v1 2026-06-22T15:54:07.139Z