# Template:Example: Recurrent Events Data Parameteric Air-Condition Example

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**Recurrent Events Data Parametric Air-Condition Example**

The following table gives the failure times of the air-condition unit of an aircraft. The observation ended by the time of the failure occurred. [3]

- 1. Estimate the GRP model parameters using the Type I virtual age option.

- 2. Plot the failure number and instantaneous failure intensity vs. time with 90% two-sided confidence bounds.

- 3. Plot the conditional reliability vs. time with 90% two-sided confidence bounds. The mission start time is 40 and mission time is varying.

- 4. Using the QCP, calculate the expected failure number and expected instantaneous failure intensity by time 1800.

**Solution**

Enter the data into a parametric RDA folio in Weibull++. Choose **3** under Parameters and **Type I** under Settings. Keep the default simulation settings.

- 1. The estimated parameters are [math]\hat{\beta }=1.1976,[/math] [math]\hat{\lambda }=4.94E-03,[/math] [math]\hat{q}=0.1344[/math] .

- 2. The failure number and instantaneous failure intensity are given in the following plots.

- 3. The conditional reliability is plotted below.

- 4. Using QCP, the failure number and instantaneous failure intensity are: