In my line of work, we must be able to destroy an errant launch vehicle if it is determined to be outside of the predetermined acceptable corridor.
We do this by having transmitter sites that send RF commands to the vehicle.
In any case, when a developer is put on contract to modernize a site, one of the requirements is a reliability of .999 for a 5 minute window.
One of the questions that recently came up, was how long one would have to test the new site in order to prove this reliability. The final component to this problem is that there must be 95% confidence associated with the test.
The confidence part is what is stumping me, since I have no idea how you attribute a z-value equivalent to such a problem? Can anybody explain some theories or approaches on how to determine the amount of test time necessary to achieve these reliability requirements at a system level?