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Title: Multi-variate joint PDF for non-Gaussianities: exact formulation and generic approximations
Author: Verde, Licia
Jiménez, Raúl (Jiménez Tellado)
Álvarez-Gaumé, Luis
Heavens, Alan
Matarrese, Sabino
Keywords: Distribució de Gauss
Estadística bayesiana
Distribució (Teoria de la probabilitat)
Gaussian distribution
Bayesian statistical decision
Distribution (Probability theory)
Issue Date: Jun-2013
Publisher: Institute of Physics (IOP)
Abstract: We provide an exact expression for the multi-variate joint probability distribution function of non-Gaussian fields primordially arising from local transformations of a Gaussian field. This kind of non-Gaussianity is generated in many models of inflation. We apply our expression to the non-Gaussianity estimation from Cosmic Microwave Background maps and the halo mass function where we obtain analytical expressions. We also provide analytic approximations and their range of validity. For the Cosmic Microwave Background we give a fast way to compute the PDF which is valid up to more than 7σ for fNL values (both true and sampled) not ruled out by current observations, which consists of expressing the PDF as a combination of bispectrum and trispectrum of the temperature maps. The resulting expression is valid for any kind of non-Gaussianity and is not limited to the local type. The above results may serve as the basis for a fully Bayesian analysis of the non-Gaussianity parameter.
Note: Versió postprint del document publicat a:
It is part of: Journal of Cosmology and Astroparticle Physics, 2013, vol. 2013, num. 023
Related resource: info:eu-repo/semantics/altIdentifier/doi/10.1088/1475-7516/2013/06/023
ISSN: 1475-7516
Appears in Collections:Articles publicats en revistes (Institut de Ciències del Cosmos (ICCUB))
Publicacions de projectes de recerca finançats per la UE

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