A Central Limit Theorem and Higher Order Results for the Angular Bispectrum

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dc.creatorMarinucci, D.
dc.date2005-09-19
dc.date.accessioned2026-07-07T09:42:43Z
dc.date.available2026-07-07T09:42:43Z
dc.descriptionThe angular bispectrum of spherical random fields has recently gained an enormous importance, especially in connection with statistical inference on cosmological data. In this paper, we provide expressions for its moments of arbitrary order and we use these results to establish a multivariate central limit theorem and higher order approximations. The results rely upon combinatorial methods from graph theory and a detailed investigation for the asymptotic behaviour of Clebsch-Gordan coefficients; the latter are widely used in representation theory and quantum theory of angular momentum.
dc.descriptionSubmitted for publication
dc.identifierhttps://arxiv.org/abs/math/0509430
dc.identifierhttp://arxiv.org/abs/math/0509430
dc.identifierProbability Theory and Related Fields, 141, pp. 389-409 (2008)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/162286
dc.subjectProbability
dc.subjectAstrophysics
dc.subjectStatistics Theory
dc.titleA Central Limit Theorem and Higher Order Results for the Angular Bispectrum
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