Power Laws and the Cosmic Ray Energy Spectrum

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dc.creatorHague, J. D.
dc.creatorBecker, B. R.
dc.creatorGold, M. S.
dc.creatorMatthews, J. A. J.
dc.date2006-10-30
dc.date.accessioned2026-07-07T11:00:03Z
dc.date.available2026-07-07T11:00:03Z
dc.descriptionTwo separate statistical tests are applied to the AGASA and preliminary Auger Cosmic Ray Energy spectra in an attempt to find deviation from a pure power-law. The first test is constructed from the probability distribution for the maximum event of a sample drawn from a power-law. The second 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 AGASA data show no significant deviation from a power-law when subjected to both tests. Applying these tests to the Auger spectrum suggests deviation from a power-law. However, potentially large systematics on the relative energy scale prevent us from drawing definite conclusions at this time.
dc.description21 pages, 18 figures, submitted to Astro. Part. Phys
dc.identifierhttps://arxiv.org/abs/astro-ph/0610865
dc.identifierhttp://arxiv.org/abs/astro-ph/0610865
dc.identifierAstropart.Phys.27:455-464,2007
dc.identifierdoi:10.1016/j.astropartphys.2007.02.002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/187607
dc.subjectAstrophysics
dc.subjectStatistics Theory
dc.titlePower Laws and the Cosmic Ray Energy Spectrum
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