A new approach to evaluate gamma-ray measurements

Mathematics – Probability

Scientific paper

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Gamma Ray Bursts, Light Curve, Nonparametric Statistics, Null Hypothesis, Probability Density Functions, Random Sampling, Rayleigh Distribution, Time Dependence, Cosmic Ray Showers, Gamma Ray Astronomy

Scientific paper

Misunderstanding about the term "random samples" and its implications may easily arise. Conditions under which the phase, obtained from arrival times, do not form a random sample and the dangers involved are discussed. Watson's U2 test for uniformity is recommended for light curves with duty cycles larger than 10%. Under certain conditions, non-parametric density estimation may be used to determine estimates of the true light curve and its parameters.

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