Journal
ASTROPHYSICAL JOURNAL
Volume 755, Issue 1, Pages -Publisher
IOP Publishing Ltd
DOI: 10.1088/0004-637X/755/1/19
Keywords
cosmic background radiation; cosmology: observations; early universe; methods: data analysis; methods: statistical
Categories
Funding
- Norwegian Research Council
- European Research Council [277742]
- ASI/INAF [I/072/09/0]
- PRIN project La Ricerca di non-Gaussianita Primordiale
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We derive the linear correction term for needlet and wavelet estimators of the bispectrum and the nonlinearity parameter f(NL) on cosmic microwave background radiation data. We show that on masked WMAP-like data with anisotropic noise, the error bars improve by 10%-20% and almost reach the optimal error bars obtained with the bispectrum estimator also known as KSW. In the limit of full-sky and isotropic noise, this term vanishes. We apply needlet and wavelet estimators to the WMAP 7-year data and obtain our best estimate f(NL) = 37.5 +/- 21.8 (68% CL).
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