The empirical process on Gaussian spherical harmonics

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dc.creatorMarinucci, Domenico
dc.creatorPiccioni, Mauro
dc.date2004-06-25
dc.date.accessioned2026-07-07T08:06:24Z
dc.date.available2026-07-07T08:06:24Z
dc.descriptionWe establish weak convergence of the empirical process on the spherical harmonics of a Gaussian random field in the presence of an unknown angular power spectrum. This result suggests various Gaussianity tests with an asymptotic justification. The issue of testing for Gaussianity on isotropic spherical random fields has recently received strong empirical attention in the cosmological literature, in connection with the statistical analysis of cosmic microwave background radiation.
dc.identifierhttps://arxiv.org/abs/math/0406526
dc.identifierhttp://arxiv.org/abs/math/0406526
dc.identifierAnnals of Statistics 2004, Vol. 32, No. 3, 1261-1288
dc.identifierdoi:10.1214/009053604000000355
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/130595
dc.subjectStatistics Theory
dc.subject60F17, 62G20, 62G30 (Primary)
dc.titleThe empirical process on Gaussian spherical harmonics
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