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Estimating parameters of fluctuations in the cosmic microwave background

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dc.affiliation.dptoUC3M. Departamento de Estadísticaes
dc.contributor.authorTenorio, Luis
dc.contributor.authorLineweaver, Charles H.
dc.contributor.authorSmoot, Georges
dc.contributor.editorUniversidad Carlos III de Madrid. Departamento de Estadística
dc.date.accessioned2009-06-25T12:22:43Z
dc.date.available2009-06-25T12:22:43Z
dc.date.issued1995-09
dc.description.abstractWe address questions that arise in statistical analyses of recently detected fluctuations in the Cosmic Microwave Background (CMB). Estimators of the quadrupole amplitude, Q, and spectral index, n, of the CMB angular fluctuation power spectrum are considered. Families of unbiased estimators of Q2 and existence conditions for minimum variance estimators of n are given. We find that the common practice of excluding the quadrupole is not recommended if one is interested in unbiased estimators. We explain previousiy reported correlations of the estimators and show how they depend on the multiple used to normalize the spectrum. We show that a finite beam resolution does not justify the use of truncated least-squares to estimate harmonic coefficients of CMB data.
dc.format.mimetypeapplication/pdf
dc.identifier.urihttps://hdl.handle.net/10016/4511
dc.language.isoeng
dc.relation.ispartofseriesUC3M Working Papers. Statistics and Econometrics
dc.relation.ispartofseries1995-32-09
dc.rightsAtribución-NoComercial-SinDerivadas 3.0 España
dc.rights.accessRightsopen access
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subject.ecienciaEstadística
dc.subject.otherCOBE
dc.subject.otherData analysis
dc.subject.otherUnbiased estimators
dc.subject.otherMaximum likelihood
dc.subject.otherMonte Carlo
dc.titleEstimating parameters of fluctuations in the cosmic microwave background
dc.typeworking paper*
dspace.entity.typePublication
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