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The Dependence of Cosmological Parameters Estimated from the Microwave Background on Non‐Gaussianity

2001/07/27 by Luca Amendola
Mathematics · Physics and Astronomy · #Astrophysics #Baryon #Bispectrum #Cosmic background radiation #Cosmic microwave background #Cosmology and Gravitation Theories #Cumulant #Dark Matter and Cosmic Phenomena #Econometrics #Edgeworth series #Gaussian #Kurtosis #Mathematics #Multipole expansion #Non-Gaussianity #Physics #Quantum mechanics #Relativity and Gravitational Theory #Sensitivity (control systems) #Skewness #Spectral density #Statistical physics #Statistics #astro-ph #hep-ph

paper · pdf · doi:10.1086/339421

published as Astrophys.J. 569 (2002) 595-599 · 4 pages, 4 figures

arxiv created 2001/07/27 · openalex publication_date 2002/04/20 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The estimation of cosmological parameters from cosmic microwave experiments has almost always been performed assuming gaussian data. In this paper the sensitivity of the parameter estimation to different assumptions on the probability distribution of the fluctuations is tested. Specifically, adopting the Edgeworth expansion, I show how the cosmological parameters depend on the skewness of the Cl spectrum. In the particular case of skewness independent of the multipole number I find that the primordial slope, the baryon density and the cosmological constant increase with the skewness.

Citations