We derive the linear correction term for needlet and wavelet estimators of the bispectrum and the non-linearity parameter fNL 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 KSW estimator (Komatsu et al 2005). 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 fNL=37.5 \pm 21.8.
Cite
@article{arxiv.1202.1478,
title = {On the linear term correction for needlets/wavelets non-Gaussianity estimators},
author = {Simona Donzelli and Frode K. Hansen and Michele Liguori and Domenico Marinucci and Sabino Matarrese},
journal= {arXiv preprint arXiv:1202.1478},
year = {2013}
}