Statistical Methods for Investigating the Cosmic Ray Energy Spectrum
Astrophysics
2007-10-22 v1 Statistics Theory
Statistics Theory
Abstract
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.
Cite
@article{arxiv.0710.3600,
title = {Statistical Methods for Investigating the Cosmic Ray Energy Spectrum},
author = {J. D. Hague and B. R. Becker and M. S. Gold and J. A. J. Matthews and J. Urbář},
journal= {arXiv preprint arXiv:0710.3600},
year = {2007}
}
Comments
4 pages, 3 figures, presented at the 30th ICRC, Merida, Mexico, July 2007