Estimates of multipolar coefficients to search for cosmic ray anisotropies with non-uniform or partial sky coverage

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dc.creatorBilloir, Pierre
dc.creatorDeligny, Olivier
dc.date2007-10-11
dc.date2008-02-13
dc.date.accessioned2026-07-07T11:12:09Z
dc.date.available2026-07-07T11:12:09Z
dc.descriptionWe study the possibility to extract the multipolar moments of an underlying distribution from a set of cosmic rays observed with non-uniform or even partial sky coverage. We show that if the degree is assumed to be upper bounded by $L$, each multipolar moment can be recovered whatever the coverage, but with a variance increasing exponentially with the bound $L$ if the coverage is zero somewhere. Despite this limitation, we show the possibility to test predictions of a model without any assumption on $L$ by building an estimate of the covariance matrix seen through the exposure function.
dc.description20 pages, 8 figures
dc.identifierhttps://arxiv.org/abs/0710.2290
dc.identifierhttp://arxiv.org/abs/0710.2290
dc.identifierJCAP0802:009,2008
dc.identifierdoi:10.1088/1475-7516/2008/02/009
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/191286
dc.subjectAstrophysics
dc.titleEstimates of multipolar coefficients to search for cosmic ray anisotropies with non-uniform or partial sky coverage
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