Angular spectra for non-Gaussian isotropic fields

DOI10.1214/14-BJPS249zbMath1328.83219arXiv1302.4049OpenAlexW2962862022MaRDI QIDQ890279

Gyorgy H. Terdik

Publication date: 10 November 2015

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

Full work available at URL: https://arxiv.org/abs/1302.4049

zbMATH Keywords

isotropyspherical random fieldscosmic microwave backgroundnon-GaussianitybispectrumCMBangular polyspectratrispectrum

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Statistical mechanics of gases (82D05) Astrophysical cosmology (85A40)

Related Items

Simulation of Gaussian random field in a ball ⋮ Multivariate Gaussian Random Fields over Generalized Product Spaces involving the Hypertorus ⋮ Isotropic covariance matrix polynomials on spheres ⋮ A multi-resolution model for non-Gaussian random fields on a sphere with application to ionospheric electrostatic potentials ⋮ Harmonic analysis and distribution-free inference for spherical distributions ⋮ Isotropic covariance functions on spheres: some properties and modeling considerations ⋮ Bispectrum and a non-linear model for a non-Gaussian homogenous and isotropic field in 3D ⋮ Estimation of the covariance function of Gaussian isotropic random fields on spheres, related Rosenblatt-type distributions and the cosmic variance problem ⋮ Spectral simulation of isotropic Gaussian random fields on a sphere ⋮ Multivariate isotropic random fields on spheres: nonparametric Bayesian modeling and \(L^p\) fast approximations ⋮ Estimation problems for periodically correlated isotropic random fields

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• An introduction to bispectral analysis and bilinear time series models
• Some characterizations of the spherical harmonics coefficients for isotropic random fields
• A central limit theorem and higher order results for the angular bispectrum
• Representations of SO(3) and angular polyspectra
• Spatial statistics and modeling. Translated from the French by Kevin Bleakley.
• Bilinear stochastic models and related problems of nonlinear time series analysis. A frequency domain approach
• The bispectrum as a source of phase-sensitive invariants for Fourier descriptors: a group-theoretic approach
• High-resolution asymptotics for the angular bispectrum of spherical random fields
• Testing for non-Gaussianity on cosmic microwave background radiation: a review.
• Spherical harmonics
• Positive definite functions on spheres
• Random Fields on the Sphere
• Multivariate Non-Linear Regression with Applications
• TESTING FOR GAUSSIANITY AND LINEARITY OF A STATIONARY TIME SERIES
• A New Test of Linearity of Time Series Based on the Bispectrum
• On a new condition for strictly positive definite functions on spheres
• Stochastic Processes on a Sphere
• An Introduction to Polyspectra
• Time Series