1996/07/31 by Emory F. Bunn, Martin White · 426 citations
Engineering · Mathematics · Physics and Astronomy · #Applied mathematics #Cosmology and Gravitation Theories #Dark Matter and Cosmic Phenomena #Econometrics #Engineering #Goodness of fit #Mathematics #Normalization (sociology) #Particle physics theoretical and experimental studies #Physics #Range (aeronautics) #Statistical physics #Statistics #astro-ph
paper · pdf · doi:10.1086/303955
published in The Astrophysical Journal 480(1), 6-21 (IOP Publishing) · LaTeX, 22 pages. Uses aaspp4.sty. 18 PostScript figures included. Final version, accepted to the Astrophysical Journal. Numerous small changse have been made, but all the main results are unchanged
arxiv created 1996/11/10 · openalex publication_date 1997/05/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We present an analysis of the 4 year data from the COBE DMR experiment. We use a Karhunen-Loève expansion of the pixel data to calculate the normalization and goodness of fit of a range of models of structure formation. This technique produces unbiased normalization estimates and is capable of determining the normalization of any particular model with a statistical uncertainty of 7%. We present a parameterization of the normalization and likelihood function which summarizes our results for a wide range of models. We use the COBE normalization to compute small-scale fluctuation amplitudes for a variety of models and discuss the implications of these results for theories of large-scale structure.