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The input photon spectral index was 2 for all trials and dt is the burst duration. The fitted fluxes and indices reported above are averaged over the 100 trials per sample, and the "errors" are the root variances of those distributions. The distributions of the parameters for the Xspec fits may be somewhat broader than they should be since I did not group the channels to ensure at least 20 or so counts per bin (these fits were performed on my laptop, which does not have grppha installed), and I used the default chi-square statistic used by Xspec.
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