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:

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: