Limit theorems for additive functionals of stationary fields, under integrability assumptions on the higher order spectral densities

Details Limit theorems for additive functionals of stationary fields, under integrability assumptions on the higher order spectral densities Limit theorems for additive functionals of stationary fields, under integrability assumptions on the higher order spectral densities

2012-02-14

arxiv.org/abs/1202.3041v1

Mathematics

Probability

Scientific paper

We prove central limit theorems for additive functionals of stationary fields
under integrability conditions on the higher-order spectral densities, which
are derived using the Holder-Young-Brascamp-Lieb inequality.

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