Mathematics – Probability
Scientific paper
Nov 1992
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992esasp.348..261a&link_type=abstract
In ESA, Proceedings of the First SOHO Workshop: Coronal Streamers, Coronal Loops, and Coronal and Solar Wind Composition p 261-2
Mathematics
Probability
Data Processing, Satellite-Borne Instruments, Soho Mission, Spectroscopic Analysis, Statistical Analysis, Bayes Theorem, Emission Spectra, Extreme Ultraviolet Radiation, Line Spectra, Spectrum Analysis
Scientific paper
The analysis of spectroscopic data obtained by the CDS (Coronal Diagnosis Spectrometer) and SUMER (Solar Ultraviolet Measurement of Emitted Radiation) instruments to be flown on board the SOHO (Solar and Heliospheric Observatory) satellite is addressed. A Bayesian statistical approach, rather than the more usual chi squared testing, is employed and it is argued that this may lead to a better determination of the line profile parameters used as diagnostics for the physical characteristics of the emitting plasma. It is shown that for the simple case of Gaussian line profiles, the results obtained from the Bayesian analysis are essentially identical to the chi squared results, thereby demonstrating its viability. The advantages of the Bayesian method over the chi squared approach, however, make it a more useful tool for the analysis of spectroscopic data. One of the main advantages discussed is the possibility of obtaining probability distributions for individual parameters of interest rather than joint distributions in parameter space.
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