Bispectrum and a non-linear model for a non-Gaussian homogenous and isotropic field in 3D

DOI10.1090/tpms/1027zbMath1390.60187OpenAlexW2793075581WikidataQ130179351 ScholiaQ130179351MaRDI QIDQ4606865

László Nádai, Gyorgy H. Terdik

Publication date: 9 March 2018

Published in: Theory of Probability and Mathematical Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/tpms/1027

zbMATH Keywords

bispectrumbicovarianceisotropic fieldshomogenous fieldsspherical Bessel-functions

Mathematics Subject Classification ID

Random fields (60G60) Inference from spatial processes (62M30) Inference from stochastic processes and spectral analysis (62M15)

Cites Work

• Angular spectra for non-Gaussian isotropic fields
• Multiple Wiener-Ito integrals. With applications to limit theorems
• Tauberian and Abelian theorems for correlation function of a homogeneous isotropic random field
• Gaussian and their subordinates self-similar random generalized fields
• Correlation theory of stationary and related random functions. Volume I: Basic results
• Bilinear stochastic models and related problems of nonlinear time series analysis. A frequency domain approach
• Spatio-temporal covariance functions generated by mixtures
• Estimation problems for periodically correlated isotropic random fields
• Tauberian and Abelian theorems for long-range dependent random fields
• The Geometry of Random Fields
• The Bispectrum and Bicoherence for Quadratically Nonlinear Systems Subject to Non-Gaussian Inputs
• Fractional random fields associated with stochastic fractional heat equations
• Bispectrum for non-Gaussian homogeneous and isotropic field on the plane
• An Introduction to Polyspectra
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