This is not just true of OCXOs, Rubidium, GPSDO but also for more esoteric things like passive hyrdrogen masers.
For the details visit leapsecond.com
http://www.leapsecond.com/But to over simplify things, a good OCXO will have good phase noise and may be below 10^-13 ADEV at 1second and may remain good ( low 10^-12) out to up to a 1000 seconds but deviate off after that.
A Rubidium will probably be around 10^-11 at 1 second but get better going out to a few thousand seconds but will (eventually drift). Rubidiums also tend to have spurs and be noisy phase wise.
The GPS system will be accurate over long periods (it is kept that way using atomic clocks) so for the average of a day or more it is likely to be heading for 10^-14 but in the short term the 1PPS is going to be a few nanosecs out - probably more like 10 nanosecs so approximately 10^-8 at 1 second.
The aim of a GPSDO is to combine the best of both worlds whether it be a disciplined Rubidium or disciplined OCXO.
Even a Caesium standard clock (the definition of a second is based on it), though very good longer term is not as good short term as a hydrogen maser.
For short term probably the best is a BVA OCXO which were very expensive when made and I don't think they are even manufactured anymore (Oscilloquartz used to make them).