Unbiased Estimation of an Angular Power Spectrum

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dc.creatorPolenta, G.
dc.creatorMarinucci, D.
dc.creatorBalbi, A.
dc.creatorde Bernardis, P.
dc.creatorHivon, E.
dc.creatorMasi, S.
dc.creatorNatoli, P.
dc.creatorVittorio, N.
dc.date2004-02-18
dc.date2005-11-18
dc.date.accessioned2026-07-07T06:34:38Z
dc.date.available2026-07-07T06:34:38Z
dc.descriptionWe discuss the derivation of the analytic properties of the cross-power spectrum estimator from multi-detector CMB anisotropy maps. The method is computationally convenient and it provides unbiased estimates under very broad assumptions. We also propose a new procedure for testing for the presence of residual bias due to inappropriate noise subtraction in pseudo-$C_{\ell}$ estimates. We derive the analytic behavior of this procedure under the null hypothesis, and use Monte Carlo simulations to investigate its efficiency properties, which appear very promising. For instance, for full sky maps with isotropic white noise, the test is able to identify an error of 1% on the noise amplitude estimate.
dc.descriptionreplaced with version published in JCAP. Added discussion about polarization measurements and 1/f noise correlated among different detectors
dc.identifierhttps://arxiv.org/abs/astro-ph/0402428
dc.identifierhttp://arxiv.org/abs/astro-ph/0402428
dc.identifierJCAP 0511 (2005) 001
dc.identifierdoi:10.1088/1475-7516/2005/11/001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/99584
dc.subjectAstrophysics
dc.titleUnbiased Estimation of an Angular Power Spectrum
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