I suppose there is a more simple way to ask my question. Let's say that I calibrate my oscillator circuit in a controlled environment 25C, and all subsequent tests are done at the same temp, within a week so as to reduce the "aging" factor to negligible.
I understand that the XO has some instability and that no two oscillations of that circuit are guaranteed to have the same period. But if I measure 10^8 oscillations (this works out to almost a 24hr timespan), and I measure that number of pulses over and over again, should I expect that the error caused by frequency instability to be negligible? Will the frequency jitter average out to zero over long sampling periods?
-Another way to put it
--- My Xtal's datasheet says it will perform within a 10ppm jitter tolerance, but if the jitter error averages out to be zero over a long period of time, then I can assume that there is no error due to that +/-10ppm jitter. Is this a reasonable assumption?
I am purely talking about error as it relates to jitter, not temp fluctuation and not aging.
I simply do not have the equipment at this time to conduct these tests quickly and with accuracy, so I am asking the theoretical question here.