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Primordial non-Gaussianity estimator: The inhomogeneous noise effect
Yu, B.1; Lu, T.2,3
Source PublicationPHYSICAL REVIEW D
AbstractSince the inhomogeneous instrument noise can produce extra non-Gaussianity in the cosmic microwave background (CMB) anisotropy, its effect should be carefully subtracted in the primordial non-Gaussianity estimation. We calculate the probability distribution function of the CMB anisotropy for a local type of non-Gaussianity, from which the optimal estimator in the general case ( inhomogeneous noise and cut sky) is obtained. The new estimator obtained here is different from the popular one, since the inhomogeneous noise and cut sky effects are completely accounted for. The CMB anisotropy in the new estimator is noise weighted. The noise weight is different from that used by the WMAP Collaboration in their 5-year data analysis. Although it is still difficult to calculate the new estimator rigorously, for the case of the slightly inhomogeneous noise, there exists a series expansion method to compute the new estimator. Each order in the series is suppressed by two factors, (sigma(2)/sigma(2)(i) - 1) and C(l)/C(l)(tot), which make the method feasible. Through the Edgeworth expansion we can generalize our discussion to other types of non-Gaussianity.
WOS HeadingsScience & Technology ; Physical Sciences
Indexed BySCI
WOS Research AreaAstronomy & Astrophysics ; Physics
WOS SubjectAstronomy & Astrophysics ; Physics, Particles & Fields
WOS IDWOS:000259692800018
Citation statistics
Cited Times:4[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Affiliation1.Nanjing Univ, Dept Phys, Nanjing 210093, Peoples R China
2.Chinese Acad Sci, Purple Mt Observ, Nanjing 210008, Peoples R China
3.Nanjing Univ, Purple Mt Observ, Joint Ctr Particle Nucl Phys & Cosmol, Nanjing 210093, Peoples R China
Recommended Citation
GB/T 7714
Yu, B.,Lu, T.. Primordial non-Gaussianity estimator: The inhomogeneous noise effect[J]. PHYSICAL REVIEW D,2008,78(6).
APA Yu, B.,&Lu, T..(2008).Primordial non-Gaussianity estimator: The inhomogeneous noise effect.PHYSICAL REVIEW D,78(6).
MLA Yu, B.,et al."Primordial non-Gaussianity estimator: The inhomogeneous noise effect".PHYSICAL REVIEW D 78.6(2008).
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