Constraining Coronal Heating: Employing Bayesian Analysis Techniques to Improve the Determination of Solar Atmospheric Plasma Parameters |
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Authors: | Sotiris Adamakis Robert W Walsh Anthony J Morton-Jones |
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Institution: | (1) Laboratoire de Pharmacologie de la Faculté de Pharmacie, INSERM EMI-0356, Université Victor Segalen Bordeaux 2, Casier 83, 146 rue Léo Saignat, 33076 Bordeaux cedex, France;(2) Laboratoire de Physiologie Cellulaire Respiratoire, INSERM EMI-0356, Université Victor Segalen Bordeaux 2, Bordeaux, France |
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Abstract: | One way of revealing the nature of the coronal heating mechanism is by comparing simple theoretical one-dimensional hydrostatic
loop models with observations at the temperature and/or density structure along these features. The most well-known method
for dealing with comparisons like that is the χ
2 approach. In this paper we consider the restrictions imposed by this approach and present an alternative way for making model
comparisons using Bayesian statistics. In order to quantify our beliefs we use Bayes factors and information criteria such
as AIC and BIC. Two datasets (Ugarte-Urra et al.
2005; Priest et al.
2000) are reanalyzed using the method described above. For the dataset of Ugarte-Urra et al. (2005), we conclude to apex dominant heating as the likely heating candidate, whereas the dataset of Priest et al. (2000) implies basal heating. Note that these new results are different from those obtained using the chi-squared statistic. For
this we suggest that proper usage of Classical and Bayesian statistics should be applied in order to make safe assumptions
about the nature of the coronal heating mechanisms. |
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