Statistical reliability of gamma-ray line observations

Astronomy and Astrophysics – Astronomy

Scientific paper

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Astronomical Spectroscopy, Gamma Ray Spectra, Line Spectra, Maximum Likelihood Estimates, Statistical Analysis, Confidence Limits, Cosmic X Rays, Crab Nebula, Galactic Nuclei, Reliability Analysis, Solar Flares, Solar X-Rays

Scientific paper

A procedure for evaluating the statistical significance and the confidence levels of a positive source and of line observations in gamma-ray astronomy is presented. The formulas derived make use of maximum likelihood ratio testing. The method is applied to a number of measurements of gamma-ray lines from Crab Nebula, Galactic center, Galactic plane, solar flare, and transient events, and several statistically reliable measurements are thereby distinguished.

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