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

Florin Avram; Ludmila Sakhno; Nikolai Leonenko

arxiv: 1202.3041 · v1 · pith:GFCX7NBFnew · submitted 2012-02-14 · 🧮 math.PR

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

Florin Avram , Nikolai Leonenko , Ludmila Sakhno This is my paper

classification 🧮 math.PR

keywords additivedensitiesfieldsfunctionalsintegrabilitylimitspectralstationary

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

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