A method to search for correlations of UHECR masses with the large scale structures in the local galaxy density field
Shafer Institute for Cosmophysical Research & Aeronomy, Lenin Avenue, 31, Yakutsk 677980, Russia
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One of the main goals of investigations using present and future giant extensive air shower (EAS) arrays is the mass composition of ultra-high energy cosmic rays (UHECRs). A new approach to the problem is presented, combining analysis of arrival directions with the statistical test of the pairs of EAS samples. An idea of the method is to search for possible correlations of UHECR masses with their presumably separate sources. The method is based on a non-parametric statistical test, specifically Wilcoxon rank sum routine, which does not depend on the populations fitting any parameterized distributions.
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