Rest-frame sample, viewing angle sample, and model predictions. This is similar to Fig. 11, but for rest-frame quantities L and E_p. Panel a.0 shows the predicted smallest regions in the (L, E_p) plane where 50%, 90%, 99% and 99.9% of the SGRBs that are detected by Fermi/GBM and by Swift/BAT with p_{[15 − 150]} > p_lim, BAT are located, according to our model, using the parameters at the median of the λ_pop posterior (filled blue contours: full sample analysis; dashed grey contours: flux-limited sample analysis). Red crosses show the SGRBs with a measured redshift in our rest-frame sample. Panels a.1, a.2 and b show the predicted (blue solid lines: full sample; grey dashed lines: flux-limited sample) and observed (red cumulative histograms, with pink shaded areas showing the 90% confidence regions) cumulative distributions of luminosities (panel a.1), E_p (panel a.2), and redshifts (panel b). In panels a.1, a.2 and b, the 90% credible bands stemming from the uncertainty on λ_pop are shown with blue shading (full sample) and dotted lines (flux-limited sample). The additional orange contours in panel a.0 show the 50%, 90%, 99% and 99.9% containment regions for SGRBs with a BNS merger counterpart detected by Fermi/GBM and by the aLIGO and Advanced Virgo detectors with O3 sensitivity. The orange cross shows the position of GRB 170817A on the plane.