Template:Example: Weibull Distribution Interval Data Example

From ReliaWiki
Revision as of 22:45, 29 February 2012 by Harry Guo (talk | contribs)
Jump to navigation Jump to search

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: