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).

Donzelli, S., Hansen, F., Liguori, M., Marinucci, D., Matarrese, S. (2012). On the Linear Term Correction for Needlets/Wavelets non-Gaussianity Estimators. THE ASTROPHYSICAL JOURNAL, 755, -- [10.1088/0004-637X/755/1/19].

On the Linear Term Correction for Needlets/Wavelets non-Gaussianity Estimators

MARINUCCI, DOMENICO;
2012-01-01

Abstract

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).
2012
Pubblicato
Rilevanza internazionale
Articolo
Esperti anonimi
Settore FIS/02 - FISICA TEORICA, MODELLI E METODI MATEMATICI
English
Donzelli, S., Hansen, F., Liguori, M., Marinucci, D., Matarrese, S. (2012). On the Linear Term Correction for Needlets/Wavelets non-Gaussianity Estimators. THE ASTROPHYSICAL JOURNAL, 755, -- [10.1088/0004-637X/755/1/19].
Donzelli, S; Hansen, F; Liguori, M; Marinucci, D; Matarrese, S
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/90772
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