Bayesian analysis of RHESSI spectra

Astronomy and Astrophysics – Astrophysics

Scientific paper

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[7519] Solar Physics, Astrophysics, And Astronomy / Flares, [7554] Solar Physics, Astrophysics, And Astronomy / X-Rays, Gamma Rays, And Neutrinos, [7594] Solar Physics, Astrophysics, And Astronomy / Instruments And Techniques, [9820] General Or Miscellaneous / Techniques Applicable In Three Or More Fields

Scientific paper

We use Bayesian posterior analysis to determine credible intervals to the parameter values of flare models of RHESSI data. Two flare spectra, from the 23 July 2002 and 19 January 2005 events are considered. The Bayesian credible interval (an upper and lower limit to a parameter value, plus the probability that the true value lies between those limits) is compared to the standard error found using conventional analysis techniques. Of particular interest is the low energy cutoff. The Bayesian approach allows us to quote an upper limit to the low energy cutoff with the probability that the low energy cutoff is below that upper limit. The implications of a Bayesian analysis on our understanding of these flare events are discussed. Extensions to the current approach are also discussed.

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