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

Revision as of 17:48, 22 February 2012 by Harry Guo (talk | contribs) (moved Template:Parametric rda example to Template:Example: Recurrent Events Data Parameteric Air-Condition Example)

#### Parametric RDA Example

The following table gives the failure times of the air-condition unit of an aircraft. The observation is ended by the time of the last failure [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 Specialized 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: