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Constraining coronal heating: employing Bayesian  

Sotiris Adamakis   Submitted: 2008-07-25 17:04

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 chi^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. Three simulated datasets are analyzed in order to validate the procedure and assess the effects of varying error bar size. Another two datasets (Ugarte-Urra et al., 2005; Priest et al., 2000) are re-analyzed using the method described above. In one of these two datasets (Ugarte-Urra et al., 2005), due to the error estimates in the observed temperature values, it is not posible to distinguish between the different heating mechanisms. For this we suggest that both Classical and Bayesian statistics should be applied in order to make safe assumptions about the nature of the coronal heating mechanisms.

Authors: S. Adamakis, A. J. Morton-Jones, R. W. Walsh
Projects: None

Publication Status: Solar Physics (submitted)
Last Modified: 2008-09-23 20:53
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Subject will be restored when possible  

Sotiris Adamakis   Submitted: 2008-07-25 17:02

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 chi^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. Three simulated datasets are analyzed in order to validate the procedure and assess the effects of varying error bar size. Another two datasets (Ugarte-Urra et al., 2005; Priest et al., 2000) are re-analyzed using the method described above. In one of these two datasets (Ugarte-Urra et al., 2005), due to the error estimates in the observed temperature values, it is not posible to distinguish between the different heating mechanisms. For this we suggest that both Classical and Bayesian statistics should be applied in order to make safe assumptions about the nature of the coronal heating mechanisms.

Authors: S. Adamakis, A. J. Morton-Jones, R. W. Walsh
Projects: None

Publication Status: Solar Physics (submitted)
Last Modified: 2008-09-23 20:53
Go to main E-Print page  Edit Entry  Download Preprint  Delete Entry 

Subject will be restored when possible  

Sotiris Adamakis   Submitted: 2008-07-25 16:59

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 chi^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. Three simulated datasets are analyzed in order to validate the procedure and assess the effects of varying error bar size. Another two datasets cite{ugarte2005, priest2000} are re-analyzed using the method described above. In one of these two datasets cite{ugarte2005}, due to the error estimates in the observed temperature values, it is not posible to distinguish between the different heating mechanisms. For this we suggest that both Classical and Bayesian statistics should be applied in order to make safe assumptions about the nature of the coronal heating mechanisms.

Authors: S. Adamakis, A. J. Morton-Jones, R. W. Walsh
Projects: None

Publication Status: Solar Physics (submitted)
Last Modified: 2008-09-23 20:53
Go to main E-Print page  Edit Entry  Download Preprint  Delete Entry 


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Constraining coronal heating: employing Bayesian
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