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  • 标题:Assessing the multivariate normal approximation of the maximum likelihood estimator from high-dimensional, heterogeneous data
  • 本地全文:下载
  • 作者:Andreas Anastasiou
  • 期刊名称:Electronic Journal of Statistics
  • 印刷版ISSN:1935-7524
  • 出版年度:2018
  • 卷号:12
  • 期号:2
  • 页码:3794-3828
  • DOI:10.1214/18-EJS1492
  • 语种:English
  • 出版社:Institute of Mathematical Statistics
  • 摘要:The asymptotic normality of the maximum likelihood estimator (MLE) under regularity conditions is a cornerstone of statistical theory. In this paper, we give explicit upper bounds on the distributional distance between the distribution of the MLE of a vector parameter, and the multivariate normal distribution. We work with possibly high-dimensional, independent but not necessarily identically distributed random vectors. In addition, we obtain upper bounds in cases where the MLE cannot be expressed analytically.
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