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Figure 5
Effects of [1/\sigma_{\beta}^{2}]-weighting demonstrated on simulated data in which the mean counts per pattern follows exponential distributions with (a) mean [{\bb{E}}(\langle{I}\rangle)] = 0.01 and (d) [{\bb{E}}(\langle{I}\rangle)] = 0.2. The data were divided into two parts: one at high intensity with 〈I〉 > Isplit, and its complement with 〈I〉 ≤ Isplit. (b, e) Standard deviation of the retrieved β of the two parts, using equal weighting, as a function of Isplit. The standard deviation decreases when neglecting the patterns with very low counts as evident in the low-intensity regime of (b). The plot of [\sigma_{\beta_{1,2}}] in (e) exhibits a sharp discontinuity at Isplit = 1, which is absent for [\sigma_{\beta_{\rm {V}}}]. (c, f) Standard deviation of the retrieved β of the two parts, using [1/\sigma_{\beta_{1,2}}^{2}]-weighting. In this case the lowest standard deviation is achieved by using all patterns to estimate β. βV always performs better than β1, 2, especially in the high-intensity regime, see (f).

Journal logoJOURNAL OF
SYNCHROTRON
RADIATION
ISSN: 1600-5775
Volume 30| Part 1| January 2023| Pages 11-23
https://doi.org/10.1107/S1600577522009997
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