Table 5 Sample M _i when CDF is \(F_{{\mathcal {Z}}_{i}}(z)\)

(a) Take a too high initial guess of M _i (default: 1000). Initialize variable b to half of this value.

(a) Randomly select a real number r _n ∈[ 0,1].

(c) If \(F_{{\mathcal {Z}}_{i}}(M_{i})\) is lower than r _n , M _i =M _i +b, else M _i =M _i −b. Divide b by 2.

(d) Repeat step (c) until b is below the desired precision (default: 0.000001).