Exponential Chi-Squared Reliability Demonstration Test

From ReliaWiki
Revision as of 19:21, 6 June 2014 by Kate Racaza (talk | contribs) (Created page with '{{Reference Example}} This example compares the results for an exponential chi-squared reliability demonstration test design. {{Reference_Example_Heading1}} The data set is …')
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to navigation Jump to search
Weibull Reference Examples Banner.png


New format available! This reference is now available in a new format that offers faster page load, improved display for calculations and images and more targeted search.

As of January 2024, this Reliawiki page will not continue to be updated. Please update all links and bookmarks to the latest references at Weibull examples and Weibull reference examples.




Exponential Chi-Squared Reliability Demonstration Test

This example compares the results for an exponential chi-squared reliability demonstration test design.


Reference Case

The data set is from Example 14.3 on page 362 in the book Practical Reliability Engineering by O’Connor and Kleyner, Wiley, 2012.


Data

A component was tested for a total of 2,000 hours, and three failures were observed. The test was time-truncated. Assuming a constant failure rate, what is the demonstrated 90% lower confidence limit on reliability at 100 operating hours?


Result

The book shows that the demonstrated MTBF is 299.36, and the demonstrated reliability is 71.6%.


Results in Weibull++

For the MTBF the result is 299.36 hours, as shown next.

Exponential RDT MTBF.png


For reliability, the result is 71.6%, as shown next.

Exponential RDT.png


Both results show that 2,000 tests are needed to demonstrate the required reliability of 71.6% or MTBF of 299.36.