Statistical challenges in the analysis of cosmic microwave background radiation
From MaRDI portal
Publication:1018601
DOI10.1214/08-AOAS190zbMath1160.62097arXiv0807.1816MaRDI QIDQ1018601
Domenico Marinucci, Paolo Cabella
Publication date: 20 May 2009
Published in: The Annals of Applied Statistics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0807.1816
isotropyspherical waveletsWigner coefficientsspherical random fieldsbispectrumcosmic microwave background radiationangular power spectrumlocal curvatureWilkinson Microwave Anisotropy Probe
Random fields; image analysis (62M40) Inference from stochastic processes and spectral analysis (62M15) Applications of statistics to physics (62P35) Radiative transfer in astronomy and astrophysics (85A25) Astrophysical cosmology (85A40)
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Cites Work
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- Subsampling needlet coefficients on the sphere
- Group representations and high-resolution central limit theorems for subordinated spherical random fields
- Decomposition of Besov and Triebel-Lizorkin spaces on the sphere
- Some characterizations of the spherical harmonics coefficients for isotropic random fields
- A central limit theorem and higher order results for the angular bispectrum
- Practical wavelet design on the sphere
- Asymptotics for spherical needlets
- Representations of SO(3) and angular polyspectra
- Wavelets on the 2-sphere: A group-theoretical approach
- The needlets bispectrum
- Wavelets on the two-sphere and other conic sections
- Complex data processing: Fast wavelet analysis on the sphere
- Cosmological applications of a wavelet analysis on the sphere
- Needlet algorithms for estimation in inverse problems
- On the characterization of isotropic Gaussian fields on homogeneous spaces of compact groups
- High-resolution asymptotics for the angular bispectrum of spherical random fields
- Localized Tight Frames on Spheres
- Specification Tests in Econometrics
- GAUSS–LEGENDRE SKY PIXELIZATION (GLESP) FOR CMB MAPS
- Random Fields and Geometry