Figure 9.

Selection of multiplicity upper bounds M_t, M_c in setting I. For simplicity, we set M_t = M_c. From the left to the right, we plot in solid curves the number of matched pairs |Π|, the average proximity score distance of the resulting match D_ave(π), the mean squared difference $\overline{b_{\pi }^2}$, and the relative MSE (9) (all aggregated over 200 trials). The dashed lines correspond to the selected multiplicity upper bounds M_t = M_c = 3.