I was wondering if there is a "rule of thumb" range (or something more concretely) for AR coefficients that would indicate whether or not a process is strongly mean reverting, mean reverting, random walk and etc. Any advice would be greatly appreciated. For example: let's say my AR coefficients for the given levels in a AR(1) quantile regression (assume the lines are not crossing) are:
- 0.05 = 1.02
- 0.15 = 0.95
- 0.50 = 0.72
- 0.85 = 0.25
- 0.95 = 1.5
Needless to say the process acts as a random walk at 0.05 and 0.95 but what about the remaining ranges?