Markov Chain Models for the Stochastic Modeling of Pitting Corrosion

Table 3

Estimated location and scale parameters of the Gumbel distributions fitted to the experimental pit depth maxima and to the Markov model. The fourth and fifth columns correspond to the calculated pit depth threshold and average exceedances values, respectively. The last column displays the average 𝑃 value of 1000 two-sample Kolmogorov-Smirnov tests.

Exp. time (days)	Estimated from the experimental data		𝑢0.005^a	𝜆𝑒^b	Estimated from the modeled distribution		𝑃 value
	𝜇𝐸 (𝜇m)	𝜎𝐸 (𝜇m)			𝜇𝑀 (𝜇m)	𝜎𝑀 (𝜇m)
1	32.8	5.15	21.2	10	32.0	5.15	0.50
3	47.0	7.58	34.49059	5	49.1	7.02	0.36
7	72.9	9.29	50.20122	12	69.7	9.17	0.31
15	94.9	12.75	70.36299	9	95.6	11.94	0.56
21	105.9	13.52	81.67309	6	111.0	13.52	0.29
30	127.9	14.54	95.65344	9	129.4	15.52	0.53

^aEstimated from (32).
^bEstimated from (30).