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Table 4 Update process for path #2

From: Integrated Equipment Health Prognosis Considering Crack Initiation Time Uncertainty and Random Shock

Update #

Inspection time

/ cycles

Crack size / mm

Mean of \(m\)

Mean of \(t_{0}\)

/ cycles

Mean of \(F(t_{0} ,m)\)

/ cycles

Prior

  

1.4

2\(\times 1 0^{6}\)

17159000

1

3215700

1.591

1.5469

1.9827\(\times 1 0^{6}\)

5520800

2

3715700

2.3063

1.5545

1.9999\(\times 1 0^{6}\)

5358600

3

4215700

3.4307

1.5821

2.1583\(\times 1 0^{6}\)

5135000

4

4715700

5.0218

1.6073

2.3604\(\times 1 0^{6}\)

5087700

Actual value

  

1.6

2.3\(\times 1 0^{6}\)

4815500