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Natural Statistics for Spectral Samples by Di Nardo, E.; McCullagh, P.; Senato, D. is a scholarly article available to read on EtoBox.

What is Natural Statistics for Spectral Samples about?

Spectral sampling is associated with the group of unitary transformations acting on matrices in much the same way that simple random sampling is associated with the symmetric group acting on vectors. This parallel extends to symmetric functions, k-statistics and polykays. We construct spectral k-statistics as unbiased estimators of cumulants of trace powers of a suitable random matrix. Moreover we define normalized spectral polykays in such a way that when the sampling is from an infinite population they return products of free cumulants.

Author

Di Nardo, E.; McCullagh, P.; Senato, D.

Published

2013

Language

EN