Nonparametric inference for the cosmic microwave background

DOI10.1214/088342304000000161zbMath1100.83502arXivastro-ph/0410140OpenAlexW2059730478MaRDI QIDQ2503932

Robert C. Michol, Mihir Arjunwadkar, Christopher J. Miller, Christopher R. Genovese, Larry Alan Wasserman

Publication date: 22 September 2006

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

Full work available at URL: https://arxiv.org/abs/astro-ph/0410140

zbMATH Keywords

cosmologynonparametric regressionConfidence sets

Mathematics Subject Classification ID

Applications of statistics to physics (62P35) Observational and experimental questions in relativity and gravitational theory (83B05)

Related Items

Excursion probability of Gaussian random fields on sphere, Reflecting time-Space Gaussian random field on compact Riemannian manifold and excursion probability, Some characterizations of the spherical harmonics coefficients for isotropic random fields, Fast simulation for Gaussian random fields on compact Riemannian manifolds, Semiparametric regression during 2003--2007, Optimal designs for regression with spherical data, A central limit theorem and higher order results for the angular bispectrum, High-resolution asymptotics for the angular bispectrum of spherical random fields, Asymptotics for spherical needlets

Uses Software

• SemiPar

Cites Work

• Estimation of the mean of a multivariate normal distribution
• Scalar field dark energy and cosmic microwave background
• Simultaneous confidence bands for linear regression and smoothing
• Modulation of estimators and confidence sets.
• CMB temperature and polarization anisotropy fundamentals.
• Testing for non-Gaussianity on cosmic microwave background radiation: a review.
• The first second of the Universe
• Semiparametric Regression
• REACT Scatterplot Smoothers: Superefficiency through Basis Economy