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

Florin Avram; Nikolai Leonenko; Ludmila Sakhno

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arXiv · 1202.3041

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

Florin Avram·Nikolai Leonenko·Ludmila Sakhno

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Abstract

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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Florin Avram, Nikolai Leonenko, Ludmila Sakhno. 2012-02-14. Limit theorems for additive functionals of stationary fields, under integrability assumptions on the higher order spectral densities. https://arxiv.org/abs/1202.3041

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