Testing Correlations of Ultrahigh Energy Cosmic Rays using a Sequential Analysis Technique

Details Testing Correlations of Ultrahigh Energy Cosmic Rays using a Sequential Analysis Technique Testing Correlations of Ultrahigh Energy Cosmic Rays using a Sequential Analysis Technique

Dec 2007

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007aas...211.4733c&link_type=abstract

American Astronomical Society, AAS Meeting #211, #47.33; Bulletin of the American Astronomical Society, Vol. 39, p.808

Mathematics

Probability

Scientific paper

Testing whether or not the distribution of ultrahigh energy cosmic ray (UHECR) sky is isotropic typically involves calculating the probability that the distribution is consisent with an isotropic sky. However, this probability does not quantify how much the anisotropic hypothesis is confirmed or rejected, because information about possible strength of the UHECR sources is not included. Further, for many applications, it is important to minimize the time required to make this judgement.
We describe a sequential analysis technique that is capable of making a quantitative statement on the acceptance or rejection and that minimizes the time need to confirm or reject isotropy. The core of this technique is a statistic that includes information about anistropic and isotropic background hypotheses while providing for a wide range of possible source strengths if the anistropic hypothesis is true.
This method provides many advantages over other sequential analysis techniques, such as the ability to utilize the events that were used to confirm/reject isotropy.

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