Figure 2
Concept of dose discernibility. (a) Correspondence between the Kolmogorov–Smirnov distance (KS) and the miss and false alarm probabilities. Absolute difference between cumulative distribution functions |F 1(x) − F 2(x)| reaches its supremum, called KS distance, in point x for which probability densities of distributions P 1 and P 2 are equal, P 1(x) = P 2(x). When the prior probabilities corresponding to these distributions are equal, then point x is the optimal decision threshold, defining miss and false alarm probabilities, p m, p f. (b) Sum of KS distances between Gaussian distributions in between two Gaussians with Δµ0 = 2σ. (c) Comparison of \(\sqrt{{\rm{MI}}}\) and KS, see text for details.
