High frequency asymptotics for wavelet-based tests for Gaussianity and isotropy on the torus

DOI10.1016/j.jmva.2007.02.002zbMath1333.62223arXivmath/0606154OpenAlexW2157350713MaRDI QIDQ2482620

Paolo Baldi, Dominique Picard, Gérard Kerkyacharian, Domenico Marinucci

Publication date: 23 April 2008

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0606154

zbMATH Keywords

waveletsrandom fieldsmultivariate central limit theoremhigh frequency asymptoticstests for Gaussianity and isotropy

Mathematics Subject Classification ID

Random fields; image analysis (62M40) Gaussian processes (60G15) Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Hypothesis testing in multivariate analysis (62H15) Central limit and other weak theorems (60F05)

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Subsampling needlet coefficients on the sphere, The needlets bispectrum, High-frequency asymptotics for subordinated stationary fields on an abelian compact group, Coordinates changed random fields on the sphere, Asymptotics for spherical needlets, Asymptotic uncorrelation for Mexican needlets

Cites Work

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• Estimating the proportion of false null hypotheses among a large number of independently tested hypotheses
• Multivariate Bayesian function estimation
• A central limit theorem and higher order results for the angular bispectrum
• Invariance principle for martingale-difference random fields
• Estimating equations based on eigenfunctions for a discretely observed diffusion process
• Interpolation of spatial data. Some theory for kriging
• Predicting random fields with increasing dense observations
• Small-diffusion asymptotics for discretely sampled stochastic differential equations
• The screening effect in kriging
• High-resolution asymptotics for the angular bispectrum of spherical random fields
• Cosmological non-Gaussian signature detection: comparing performance of different statistical tests
• Localized polynomial frames on the interval with Jacobi weights
• Localized Tight Frames on Spheres
• Modeling Satellite Ozone Data
• A Class of Nonharmonic Fourier Series