Statistical Methods for Investigating the Cosmic Ray Energy Spectrum

Details Statistical Methods for Investigating the Cosmic Ray Energy Spectrum Statistical Methods for Investigating the Cosmic Ray Energy Spectrum

2007-10-18

arxiv.org/abs/0710.3600v1

Astronomy and Astrophysics

Astrophysics

4 pages, 3 figures, presented at the 30th ICRC, Merida, Mexico, July 2007

Scientific paper

Two separate statistical tests are described and developed in order to test un-binned data sets for adherence to the power-law form. The first test employs the TP-statistic, a function defined to deviate from zero when the sample deviates from the power-law form, regardless of the value of the power index. The second test employs a likelihood ratio test to reject a power-law background in favor of a model signal distribution with a cut-off.

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