Table 7 Estimated values of unknown parameters for DS-III.

Total number of faults at time ‘t’ (N)

146.9334

Fault detection rate for \(\:0\le\:\varvec{t}\le\:\varvec{\tau\:}\:\) (b₁)

0.01702

Fault detection rate for \(\:\varvec{\tau\:}<\varvec{t}\le\:\varvec{t}\:\:\) (b₂)

8.27857

new fault introduction rate for \(\:0\le\:\varvec{t}\le\:\varvec{\tau\:}\) (\(\:{\varvec{\alpha\:}}_{1})\)

0.0001

new fault introduction rate for\(\:\:\varvec{\tau\:}<\varvec{t}\le\:\varvec{t}\) (\(\:{\varvec{\alpha\:}}_{2})\)

0.4017

uncertainty level for \(\:0\le\:\varvec{t}\le\:\varvec{\tau\:}\) (\(\:{\varvec{\sigma\:}}_{1})\)

0.6212

uncertainty level for \(\:\varvec{\tau\:}<\varvec{t}\le\:\varvec{t}\) (\(\:{\varvec{\sigma\:}}_{2})\)

1.6472

change point (\(\:\varvec{\tau\:})\)

56