Statistics – Applications
Scientific paper
Jul 2010
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2010pobeo..89..221m&link_type=abstract
Publications of the Astronomical Observatory of Belgrade, vol. 89, pp. 221-224
Statistics
Applications
Scientific paper
Correlating experimental data with the parameters of theoretical model is always a delicate task. Experimental data are always influenced by statistical fluctuations. These determine the signal to noise ratio and thus finally limit the accuracy of the measurements. In most cases it is only possible to improve this ratio by extreme expenditures of experimental set up. On the other hand, consistent applications of statistical methods such as a regularization method allows us to increase the accuracy of the result for given experimental data. It is most important in this context to know something about the relation between the precision of regularization method and experimental errors. In this work we analysed how an estimation of experimental errors influence the accuracy of the result obtained by regularization method. Usually in a real experiment the exact error is never known i.e. we either overestimated or underestimated it. To investigate this dependence we generated model function with added artificial noise. Specially, we were focused on the determination of a Stark profile from the measured Voigt profile of a spectral line. There were no significant shifts of the spectral lines obtained by regularization, but the lines are broadened. Finally conclusion is that is better to overestimate the experimental errors than underestimate because of the later case the results start to oscillate.
Mijovic S.
Vuceljic M.
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