Uniform Convergence of Multivariate Spectral Density Estimates
classification
📊 stat.ME
keywords
convergencedensityestimatesmultivariatespectraluniformcomplementsconcern
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We consider uniform moment convergence of lag-window spectral density estimates for univariate and multivariate stationary processes. Optimal rates of convergence are obtained under mild and easily verifiable conditions. Our theory complements earlier results which primarily concern weak or in-probability convergence.
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