Examples |

The Observation time is 24. The total Number of items is 15.

The input file contains 10 triads:

9 1 3

9 0 1

11 1 1

12 0 1

13 1 1

13 0 1

15 0 1

17 1 1

21 1 1

22 0 1

Maximum likelihood estimator (MLE) is used to calculate underlying Weibull function parameters. Benard method is selected to calculate and show corresponding probabilities on the diagram. The confidence level is calculated as two-sided with level 0.9 using Fisher matrix method. In this case variance and covariance of underlying function parameters are calculated.

In the Table you can see the calculated Probability values (Benard method) for all event times, corresponding values of Weibull function (W), as well as Upper (UCL) and Lower (LCL) confidence levels. The result of calculation is also shown in the diagram.

**Output:**

Entered number of components: 15

Ranking type is: Benard

Distribution function is: Weibull with paramter beta=2.1968112 eta=23.642372

Method is: MLE

Mean=20.938183 Standard deviation=10.059827

Correlation r^2=0.74453294 Error=0.15344626

Confidence level is: 90.0%

Confidence calculation method is: Fisher matrix

Var(beta)=0.4724186; Covar(beta, eta)=-1.1018871; Var(eta)=19.138119

Time | Probability | LCL | W | UCL |

9.0 | 0.045454547 | 0.0044566886 | 0.11292514 | 0.22139359 |

9.0 | 0.11038961 | 0.0044566886 | 0.11292514 | 0.22139359 |

9.0 | 0.17532468 | 0.0044566886 | 0.11292514 | 0.22139359 |

11.0 | 0.24567099 | 0.045475923 | 0.16990082 | 0.2943257 |

13.0 | 0.32305196 | 0.10591945 | 0.23568217 | 0.3654449 |

17.0 | 0.42254174 | 0.26900032 | 0.3840157 | 0.4990311 |

21.0 | 0.52203155 | 0.4360428 | 0.5373445 | 0.63864625 |

**Example 2.**

The Observation time is 300. The total Number of items is 9.

Input file contains 9 triads:

40.4 1 1 46.7 1 1 63.3 1 1 78.5 1 1 84.0 1 1 109.3 1 1 134.3 1 1 160.1 1 1 297.9 1 1

Benard method is selected to calculate and show on the diagram corresponding probabilities. Maximum likelihood estimator (MLE) is used to calculate underlying Log-Normal function parameters. The confidence level is calculated as two sided with level 0.9 using Likelihood ratio method.

In the Table you can see the calculated Probability values (selected Benard method) for all event times, corresponding values of Log-Normal function (W), as well as Upper (UCL) and Lower (LCL) confidence levels. The result of calculation also is shown in the diagram.

**Output:**

Entered number of components: 9

Ranking type is: Benard

Distribution function is: LogNormal with parameter mu=4.5390115 sigma=0.59350705

Method is: MLE

Mean=111.624084 Standard deviation=72.53546

Correlation r^2=0.97581536 Error=0.11254475

Confidence level is: 90.0%

Confidence calculation method is: Likelihood ratio

Time | Probability | LCL | W | UCL |

40.4 | 0.07446808 | 0.00995 | 0.07844307 | 0.25495 |

46.7 | 0.18085106 | 0.02495 | 0.12070777 | 0.31495 |

63.3 | 0.28723404 | 0.09995 | 0.25494516 | 0.45995 |

78.5 | 0.39361703 | 0.19495 | 0.38346398 | 0.59495 |

84.0 | 0.5 | 0.22995 | 0.4276747 | 0.63995 |

109.3 | 0.60638297 | 0.38495 | 0.6030704 | 0.78995 |

134.3 | 0.71276593 | 0.51995 | 0.72852486 | 0.88495 |

160.1 | 0.81914896 | 0.60495 | 0.817117 | 0.93995 |

297.9 | 0.9255319 | 0.84995 | 0.97445285 | 0.99495 |