  Pulsar glitches are sudden increase in their spin frequency, in most cases
followed by the long timescale recovery process. As of this writing, about 546
glitches have been reported in 188 pulsars, the Crab pulsar is a special one
with unique manifestations. This writing presents a statistic study on
post-glitch observables of the Crab pulsar, especially the delayed spin-up in
post-glitch phase and persistent shift in the slow-down rate of the star. By
analyzing the radio data over 45 years, we find that two power law functions
respectively fit the persistent shift and delayed spin-up timescales versus
glitch size well, and we find a linear correlation between the persistent shift
and delayed spin-up timescale from the consistency of the two fitting
functions, probably indicating their same physical origin and may provide a new
probe of interior physics of neutron stars.
