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Bootstrap Tests and Confidence Regions for Functions of a Covariance Matrix

Rudolf Beran, Muni S. Srivastava

The Annals of Statistics · 1985 · Volume 13 · Issue 1

DOI: 10.1214/aos/1176346579

Abstract

Bootstrap tests and confidence regions for functions of the population covariance matrix have the desired asymptotic levels, provided model restrictions, such as multiple eigenvalues in the covariance matrix, are taken into account in designing the bootstrap algorithm.

Keywords

62E20, 62G05, Bootstrap procedures, Confidence regions, Covariance matrix, Eigenvalues, eigenvectors, Multivariate analysis, tests

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