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The Law of the Iterated Logarithm for Matrix-Normed Sums of Independent Random Variables and Its Applications
Authors:Koval'  V A
Institution:(1) National Technical University of Ukraine, Kiev
Abstract:In the paper, the law of the iterated logarithm in 
$$\mathbb{R}^d $$
for sums of independent random vectors subjected to matrix transformations is studied. Application to multidimensional linear regression is considered.
Keywords:law of the iterated logarithm  random vectors  matrix norming  Gaussian random vectors  multidimensional linear regression  least-squares estimates
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