Figure 3

The estimate of \(Q_{A}\) is obtained through a probabilistic analysis of FP detection. (A) Example of a diffusive fluctuation registered as an FP triplet. (B) The situation in A is addressed by calculating \(\rho _{i}\), the PDF of \(Y_{i}\) conditioned on \(Y_{0}\). (C) From \(\rho _{i-1}\), we then calculate \(\varXi _{i}\), the PDF of \(\Delta Y_{i}\) conditioned on \(Y_{0}\), which is used to evaluate \(Z_{i}\) (shaded area), the probability that the ith increment is above threshold, given \(Y_{0}\). Note that, although they look similar, the \(\varXi _{i}\)’s are slightly different from each other