Central Limit Theorems for Sums of Wick Products of Stationary Sequences

DOI10.2307/2153927zbMath0752.60020OpenAlexW4248198418MaRDI QIDQ4006669

Robert Fox, Florin Avram

Publication date: 26 September 1992

Full work available at URL: https://doi.org/10.2307/2153927

zbMATH Keywords

central limit theoremmethod of cumulantsWick powers of a stationary sequence

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Combinatorial probability (60C05)

Related Items (4)

Limit theorems for additive functionals of stationary fields, under integrability assumptions on the higher order spectral densities ⋮ On a Szegö type limit theorem, the Hölder-Young-Brascamp-Lieb inequality, and the asymptotic theory of integrals and quadratic forms of stationary fields ⋮ Convergence of normalized quadratic forms ⋮ Central limit theorems for quadratic forms with time-domain conditions

Cites Work

• Central limit theorems for non-linear functionals of Gaussian fields
• Noncentral limit theorems for quadratic forms in random variables having long-range dependence
• Approximation theory in tensor product spaces
• A Generalized Holder Inequality and a Generalized Szego Theorem
• Generalized Szego Theorems and Asymptotics of Cumulants by Graphical Methods
• The Minimum Number of Edges and Vertices in a Graph with Edge Connectivity n and m n‐Bonds
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Central Limit Theorems for Sums of Wick Products of Stationary Sequences