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October 2011 Central limit theorem for Hotelling’s T2 statistic under large dimension
G. M. Pan, W. Zhou
Ann. Appl. Probab. 21(5): 1860-1910 (October 2011). DOI: 10.1214/10-AAP742

Abstract

In this paper we prove the central limit theorem for Hotelling’s T2 statistic when the dimension of the random vectors is proportional to the sample size.

Citation

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G. M. Pan. W. Zhou. "Central limit theorem for Hotelling’s T2 statistic under large dimension." Ann. Appl. Probab. 21 (5) 1860 - 1910, October 2011. https://doi.org/10.1214/10-AAP742

Information

Published: October 2011
First available in Project Euclid: 25 October 2011

MathSciNet: MR2884053
Digital Object Identifier: 10.1214/10-AAP742

Subjects:
Primary: 15B52 , 60F15 , 62E20
Secondary: 60F17

Keywords: central limit theorem , Hotelling’s T2 statistic , Sample covariance matrices , sample means , Stieltjes transform

Rights: Copyright © 2011 Institute of Mathematical Statistics

Vol.21 • No. 5 • October 2011
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