Template:Example: Weibull Distribution Interval Data Example
Weibull Distribution Interval Data Example
Suppose that we have run an experiment with eight units being tested and the following is a table of their last inspection times and times-to-failure:
Table 6.5 - The test data for Example 16
Data point index Last Inspection Time-to-failure
Data Point Index | Last Inspection | Time to Failure |
1 | 30 | 32 |
2 | 32 | 35 |
3 | 35 | 37 |
4 | 37 | 40 |
5 | 42 | 42 |
6 | 45 | 45 |
7 | 50 | 50 |
8 | 55 | 55 |
Analyze the data using several different parameter estimation techniques and compare the results.
Solution to Weibull Distribution Example 12
This data set can be entered into Weibull++ by opening a new Data Folio and choosing Times-to-failure and My data set contains interval and/or left censored data.
The data is entered as follows,
The computed parameters using maximum likelihood are:
using RRX or rank regression on X:
and using RRY or rank regression on Y:
The plot of the MLE solution with the two-sided 90% confidence bounds is: