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- W2155362914 abstract "The effect of approximating a continuous Gaussian distribution with histogrammed data are studied. The expressions for theoretical uncertainties in centroid and full-width at half maximum (FWHM), as determined by calculation of moments, are derived using the error propagation method for a histogrammed Gaussian distribution. The results are compared with the corresponding pseudo-experimental uncertainties for computer-generated histogrammed Gaussian peaks to demonstrate the effect of binning the data. It is shown that increasing the number of bins in the histogram improves the continuous distribution approximation. For example, a FWHM/spl ges/9 and FWHM/spl ges/12 bins are needed to reduce the pseudo-experimental standard deviation of FWHM to within /spl les/5% and /spl les/1%, respectively, of the theoretical value for a peak containing 10000 counts. In addition, the uncertainties in the centroid and FWHM as a function of peak area are studied. Finally, Sheppard's correction is applied to partially correct for the binning effect." @default.
- W2155362914 created "2016-06-24" @default.
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- W2155362914 date "1996-10-01" @default.
- W2155362914 modified "2023-09-26" @default.
- W2155362914 title "Centroid and full-width at half maximum uncertainties of histogrammed data with an underlying Gaussian distribution-the moments method" @default.
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- W2155362914 doi "https://doi.org/10.1109/23.539399" @default.
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