Probability density functions of the frequencies of substellar companions around BA (left), FGK (center), and M stars (right) based on the parametric model, computed for companions with masses in the range M_p = 1–75 M_Jup and semimajor axes in the range a = 5–300 au, and using the BEX-COND-hot evolutionary tracks for the mass conversion of the detection limits. Each plot shows the PDFs for the relative frequencies of the two components of the model (f_BDB and f_PPL∕LN), and for the total frequency for the full model (f_{BDB +PPL∕LN}). The plain lines show the PDFs for the nominal stellar ages, while the shaded envelopes show the variation of these PDFs for the maximum and minimum stellar ages. The median values and 68% confidence intervals are provided in Table 2.