Gaussian approximations and multiplier bootstrap for maxima of sums of high-dimensional random vectors

We derive a Gaussian approximation result for the maximum of a sum of high-dimensional random vectors. Specifically, we establish conditions under which the distribution of the maximum is approximated by that of the maximum of a sum of the Gaussian random vectors with the same covariance matrices as...

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Bibliographic Details
Main Authors: Chetverikov, Denis (Author), Kato, Kengo (Author), Chernozhukov, Victor V. (Contributor)
Other Authors: Massachusetts Institute of Technology. Department of Economics (Contributor)
Format: Article
Language:English
Published: Institute of Mathematical Statistics, 2014-03-17T19:58:22Z.
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