Sequential Data - Standard Gompertz Model
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This example appears in the Reliability Growth and Repairable System Analysis Reference.
Calculate the parameters of the Gompertz model using the sequential data in the following table.
| Run Number | Result | Successes | Observed Reliability(%) |
|---|---|---|---|
| 1 | F | 0 | |
| 2 | F | 0 | |
| 3 | F | 0 | |
| 4 | S | 1 | 25.00 |
| 5 | F | 1 | 20.00 |
| 6 | F | 1 | 16.67 |
| 7 | S | 2 | 28.57 |
| 8 | S | 3 | 37.50 |
| 9 | S | 4 | 44.44 |
| 10 | S | 5 | 50.00 |
| 11 | S | 6 | 54.55 |
| 12 | S | 7 | 58.33 |
| 13 | S | 8 | 61.54 |
| 14 | S | 9 | 64.29 |
| 15 | S | 10 | 66.67 |
| 16 | S | 11 | 68.75 |
| 17 | F | 11 | 64.71 |
| 18 | S | 12 | 66.67 |
| 19 | F | 12 | 63.16 |
| 20 | S | 13 | 65.00 |
| 21 | S | 14 | 66.67 |
| 22 | S | 15 | 68.18 |
Solution
Using RGA, the parameter estimates are shown in the following figure.
