# Difference between revisions of "Template:Example: Recurrent Events Data Parameteric Air-Condition Example"

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[math]\begin{matrix}
\text{50} & \text{329} & \text{811} & \text{991} & \text{1489} \\
\text{94} & \text{332} & \text{899} & \text{1013} & \text{1512} \\
\text{196} & \text{347} & \text{945} & \text{1152} & \text{1525} \\
\text{268} & \text{544} & \text{950} & \text{1362} & \text{1539} \\
\text{290} & \text{732} & \text{955} & \text{1459} & {} \\
\end{matrix}[/math]

(Created page with '====Example 4==== 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]. <center><ma…') |
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− | ====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]. | 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]. | ||

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

− | =====Solution | + | =====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. | 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. | ||

## Revision as of 16:36, 7 February 2012

#### 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: