Rate density distributions as functions of redshift (left panels) and corner plots of the posterior PDFs for the DTD parameters and ⟨τ_d⟩ (right panels). Top and bottom panels show the results obtained with a power-law and a log-normal DTD, respectively. Rate density distributions are normalised to 1 at z = 0, and the CSFH from Madau & Fragos (2017) is shown in purple for comparison. Red and blue curves represent the distributions obtained considering, respectively, the ELF and the QUSJ models. W15* results are displayed in yellow.