I have an experiment which is executed on hundreds of computers distributed all over the world that measures the occurences of certain events. The events each depend on one another so I can order them in increasing order and then calculate the time difference.
The events should be exponentially distributed but when plotting a histogram this is what I get:
The imprecision of the clocks at the computers causes some of the events to be assigned a timestamp earlier than that of the event they depend on.
I'm wondering whether the clock synchronization can be blamed for the fact that the peak of the PDF is not at 0 (that they shifted the whole thing to the right)?
If the clocks differences are normally distributed, can I just assume that the effects will compensate for one another and thus just use the calculated time diff?