Template:Example: Weibull Distribution Interval Data Example

Weibull Distribution Example 12
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 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: