pith. sign in

(44) Again we have that (III) = (IV) = (V) = 0

To bound W12,34, one can deduce from (37) that (I) = nVar (a⊤b)(c⊤d) = O(np2 1), (II) = n(n − 1)Var (a⊤b)(c⊤d) = O(n2p2 1)

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Testing Separability of High-Dimensional Covariance Matrices

math.ST · 2025-06-20 · unverdicted · novelty 7.0

Proposes invariant tests for separability of high-dimensional covariance matrices by showing equivalence to sphericity testing on the core component, with asymptotic spectral equivalence results and numerical power comparisons.

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  • Testing Separability of High-Dimensional Covariance Matrices math.ST · 2025-06-20 · unverdicted · none · ref 73

    Proposes invariant tests for separability of high-dimensional covariance matrices by showing equivalence to sphericity testing on the core component, with asymptotic spectral equivalence results and numerical power comparisons.