Testing for non-Gaussianity on cosmic microwave background radiation: a review.

DOI10.1214/088342304000000783zbMath1100.62636OpenAlexW2027732830MaRDI QIDQ2503929

Domenico Marinucci

Publication date: 22 September 2006

Published in: Statistical Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/088342304000000783

zbMATH Keywords

Gaussianityspherical random fieldsCosmic microwave background radiation

Mathematics Subject Classification ID

Random fields; image analysis (62M40) Applications of statistics to physics (62P35) Radiative transfer in astronomy and astrophysics (85A25) Statistical astronomy (85A35)

Related Items (15)

ON MULTIFRACTIONALITY OF SPHERICAL RANDOM FIELDS WITH COSMOLOGICAL APPLICATIONS ⋮ Some characterizations of the spherical harmonics coefficients for isotropic random fields ⋮ Sojourn measures of Student and Fisher-Snedecor random fields ⋮ Angular spectra for non-Gaussian isotropic fields ⋮ Representation of Gaussian isotropic spin random fields ⋮ Reduction principle for functionals of vector random fields ⋮ Non-central limit theorems for functionals of random fields on hypersurfaces ⋮ A central limit theorem and higher order results for the angular bispectrum ⋮ High-resolution asymptotics for the angular bispectrum of spherical random fields ⋮ Nonparametric inference for the cosmic microwave background ⋮ Goodness-of-fit tests for complete spatial randomness based on Minkowski functionals of binary images ⋮ Asymptotics for spherical needlets ⋮ Testing marginal symmetry of digital noise images through the perimeter of excursion sets ⋮ RÉNYI FUNCTION FOR MULTIFRACTAL RANDOM FIELDS ⋮ Regression methods for testing Gaussianity on a spherical random field

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