Please consider that in literature about Fano resonance (or Fano interference) the parameter ξ is often given by 1/q (and with an opposite sign). Here the q-parameter is related to the Tsallis statistics. The parameters in the q-BWF, ξ and q, can be used to estimate the asymmetry and the deviation from the Lorentzian shape respectively. As an example, let us consider the highly oriented pyrolytic graphite Raman spectrum data from the supporting information for "Graphene fabrication via carbon segregation through transition metal films", 2017, kindly made available by D. Pudikov. Let us use q-BWFs for all the components of the spectrum. In the following two figures, the details of the G and 2D bands are given. The band is decomposed io two asymmetric components (q-BWFs, upper panel) and in two symmetric components (q-Gaussians, lower panel). The peaks are not Lorentzian.