# Non Parametric RDA MCF Example

### From ReliaWiki

*This example appears in the Non-Parametric Recurrent Event Data Analysis article.*

A health care company maintains five identical pieces of equipment used by a hospital. When a piece of equipment fails, the company sends a crew to repair it. The following table gives the failure and censoring ages for each machine, where the + sign indicates a censoring age.

Estimate the MCF values, with 95% confidence bounds.

**Solution**

The MCF estimates are obtained as follows:

Using the MCF variance equation, the following table of variance values can be obtained:

ID | Months | State | ||
---|---|---|---|---|

1 | 5 | F | 5 | |

2 | 6 | F | 5 | |

1 | 10 | F | 5 | |

3 | 12 | F | 5 | |

2 | 13 | F | 5 | |

4 | 13 | F | 5 | |

1 | 15 | F | 5 | |

4 | 15 | F | 5 | |

5 | 16 | F | 5 | |

2 | 17 | F | 5 | |

1 | 17 | S | 4 | |

2 | 19 | S | 3 | |

3 | 20 | F | 3 | |

5 | 22 | F | 3 | |

4 | 24 | S | 2 | |

3 | 25 | F | 2 | |

5 | 25 | F | 2 | |

3 | 26 | S | 1 | |

5 | 28 | S | 0 |

Using the equation for the MCF bounds and for a 95% confidence level, the confidence bounds can be obtained as follows:

The analysis presented in this example can be performed automatically in Weibull++'s non-parametric RDA folio, as shown next.

Note: In the folio above, the refers to failures and refers to suspensions (or censoring ages). The results, with calculated MCF values and upper and lower 95% confidence limits, are shown next along with the graphical plot.