Entropic approach to multiscale clustering analysis. (English) Zbl 1297.85005
Summary: Recently, a novel method has been introduced to estimate the statistical significance of clustering in the direction distribution of objects. The method involves a multiscale procedure, based on the Kullback-Leibler divergence and the Gumbel statistics of extreme values, providing high discrimination power, even in presence of strong background isotropic contamination. It is shown that the method is: (i) semi-analytical, drastically reducing computation time; (ii) very sensitive to small, medium and large scale clustering; (iii) not biased against the null hypothesis. Applications to the physics of ultra-high energy cosmic rays, as a cosmological probe, are presented and discussed.
MSC:
85A25 | Radiative transfer in astronomy and astrophysics |
85A40 | Astrophysical cosmology |
85A35 | Statistical astronomy |
62P35 | Applications of statistics to physics |
85-08 | Computational methods for problems pertaining to astronomy and astrophysics |
94A17 | Measures of information, entropy |
85A15 | Galactic and stellar structure |
Keywords:
Kullback-Leibler divergence; multiscale clustering; ultra-high energy cosmic rays; extreme value theoryReferences:
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