Sequential Analysis Techniques for Correlation Studies in Particle Astronomy

Details Sequential Analysis Techniques for Correlation Studies in Particle Astronomy Sequential Analysis Techniques for Correlation Studies in Particle Astronomy

2007-11-26

arxiv.org/abs/0711.3937v2

Astronomy and Astrophysics

Astrophysics

16 pages, 8 figures, accepted by ApJ, updated and expanded

Scientific paper

10.1086/592340

Searches for statistically significant correlations between arrival directions of ultra-high energy cosmic rays and classes of astrophysical objects are common in astroparticle physics. We present a method to test potential correlation signals of a priori unknown strength and evaluate their statistical significance sequentially, i.e., after each incoming new event in a running experiment. The method can be applied to data taken after the test has concluded, allowing for further monitoring of the signal significance. It adheres to the likelihood principle and rigorously accounts for our ignorance of the signal strength.

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