A central limit theorem and higher order results for the angular bispectrum

DOI10.1007/s00440-007-0088-8zbMath1141.60028arXivmath/0509430OpenAlexW2080394507MaRDI QIDQ929371

Domenico Marinucci

Publication date: 17 June 2008

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0509430

zbMATH Keywords

Central limit theoremAngular bispectrumHigher order approximationsSpherical random fields

Mathematics Subject Classification ID

Random fields (60G60) Random fields; image analysis (62M40) Central limit and other weak theorems (60F05) Inference from stochastic processes and spectral analysis (62M15)

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Cites Work

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• Sharp minimaxity and spherical deconvolution for super-smooth error distributions
• Fixed-domain asymptotics for a subclass of Matérn-type Gaussian random fields
• High-resolution asymptotics for the angular bispectrum of spherical random fields
• Testing for non-Gaussianity on cosmic microwave background radiation: a review.
• Nonparametric inference for the cosmic microwave background

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