Multiple Systems (Known Operating Times) Data Reference Example

This example validates the results for multiple systems (known operating times) data in RGA.

MIL-HDBK-189A, Section 6.3.1.6.4, pg. 156, 2009.

For this example, the following will be calculated:
 * Parameters of the Crow-AMSAA (NHPP) model
 * Demonstrated MTBF (DMTBF)
 * Cramér-von Mises (CVM) goodness-of-fit

The following table shows the data.

The book has the following results:


 * Beta = 0.716, Lambda = 0.454


 * DMTBF = 15.5 hours


 * Using significance level = 0.05. CVM = 0.091. Critical value = 0.218. Since CVM < critical value can fail to reject hypothesis that model fits the data.

In RGA, the Crow-AMSAA (NHPP) model with the maximum likelihood estimation (MLE) method was used to calculate the results.


 * The model parameters are:




 * The Cramér-von Mises (CVM) goodness-of-fit test results: