Statistical challenges in the analysis of Cosmic Microwave Background radiation
arXiv:0807.1816 · doi:10.1214/08-AOAS190
Abstract
An enormous amount of observations on Cosmic Microwave Background radiation has been collected in the last decade, and much more data are expected in the near future from planned or operating satellite missions. These datasets are a goldmine of information for Cosmology and Theoretical Physics; their efficient exploitation posits several intriguing challenges from the statistical point of view. In this paper we review a number of open problems in CMB data analysis and we present applications to observations from the WMAP mission.
Published in at http://dx.doi.org/10.1214/08-AOAS190 the Annals of Applied Statistics (http://www.imstat.org/aoas/) by the Institute of Mathematical Statistics (http://www.imstat.org)
References in corpus (33)
- HEALPix -- a Framework for High Resolution Discretization, and Fast Analysis of Data Distributed on the Sphere
- First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Preliminary Maps and Basic Results
- A Line of Sight Approach to Cosmic Microwave Background Anisotropies
- Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Data Processing, Sky Maps, and Basic Results
- Non-Gaussianity from Inflation: Theory and Observations
- MASTER of the CMB Anisotropy Power Spectrum: A Fast Method for Statistical Analysis of Large and Complex CMB Data Sets
- The shape of non-Gaussianities
- The Angular Trispectrum of the CMB
- The non-Gaussian Cold Spot in the 3-year WMAP data
- Integrated Sachs-Wolfe effect from the cross correlation of WMAP3 year and the NRAO VLA sky survey data: New results and constraints on dark energy
- Spherical Needlets for CMB Data Analysis
- Non-Gaussian Signatures in the Temperature Fluctuation Observed by the Wilkinson Microwave Anisotropy Probe
- Asymmetries in the local curvature of the WMAP data
- Gauss--Legendre Sky Pixelization (GLESP) for CMB maps
- Limits on Primordial Non-Gaussianity from Minkowski Functionals of the WMAP Temperature Anisotropies
- Asymptotics for spherical needlets
- Correspondence principle between spherical and Euclidean wavelets
- Point Source Detection using the Spherical Mexican Hat Wavelet on simulated all-sky Planck maps
- Unbiased Estimation of an Angular Power Spectrum
- Cosmological applications of a wavelet analysis on the sphere
- ROMA: a map-making algorithm for polarised CMB data sets
- Madam - a map-making method for CMB experiments
- The needlets bispectrum
- High-resolution asymptotics for the angular bispectrum of spherical random fields
- CMB and foregrounds in WMAP first year data
- Subsampling needlet coefficients on the sphere
- Complex data processing: fast wavelet analysis on the sphere
- Primordial non-Gaussianity: local curvature method and statistical significance of constraints on f_NL from WMAP data
- Needlet algorithms for estimation in inverse problems
- The integrated bispectrum as a test of CMB non-Gaussianity: detection power and limits on f_NL with WMAP data
- Probing CMB Non-Gaussianity Using Local Curvature
- Effects of CMB temperature uncertainties on cosmological parameter estimation
- Non-iterative methods to estimate the in-flight noise properties of CMB detectors
Cited by in corpus (5)
- Exact risk improvement of bandwidth selectors for kernel density estimation with directional data
- Excursion probability of Gaussian random fields on sphere
- Ergodicity and Gaussianity for Spherical Random Fields
- Gaussian semiparametric estimates on the unit sphere
- Multiscaling limit theorems for stochastic FPDE with cyclic long-range dependence