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We study the possibility to extract the multipolar moments of an underlyingdistribution from a set of cosmic rays observed with non-uniform or evenpartial sky coverage. We show that if the degree is assumed to be upper boundedby $L$, each multipolar moment can be recovered whatever the coverage, but witha variance increasing exponentially with the bound $L$ if the coverage is zerosomewhere. Despite this limitation, we show the possibility to test predictionsof a model without any assumption on $L$ by building an estimate of thecovariance matrix seen through the exposure function.

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