Total Error Estimate

 

Two kinds of errors estimates are provided by the program. One is the error from the extraction of a single spectrum, and the other one is the uncertainties introduced by the deblending procedure. The plots, FITS and ASCII output files list the deblending error $\epsilon_{{\rm DEB}}$ (see 3.5.6) separately and also compute a total error $\epsilon_{\rm tot}$ for each wavelength. The later is computed from the statistical error $\epsilon_{\rm STAT}$ (see section 3.5.2), the calibration error $\epsilon_{{\rm R}}$(see section 3.5.5) and the deblending error $\epsilon_{{\rm DEB}}$ as

$$\epsilon_{\rm tot} = \sqrt{ [(\epsilon_{{\rm R}}/ R)^2+ (\ep... ..._{\rm STAT}/F)^2] \cdot F_{\rm CAL}^2 + \epsilon_{{\rm DEB}}^2}$$ (22)

where as before F is the spectrum before calibration, R is the response function, and $F_{\rm CAL}$is the fully calibrated spectrum. This formulae is the result of the assumption that all three errors are statistically independent.