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12 votes
4 answers
12k views

Is a stationary process necessarily mean-reverting?

Intuitively, a stationary stochastic process needs to be mean-reverting. This should follow immediately from the definition of stationarity: the mean of the process needs to be constant over time, so ...
Abramo's user avatar
  • 472
5 votes
2 answers
2k views

Why is OU process stationary?

The mean and variance of Ornstein–Uhlenbeck (OU) process have time dependence (exponentially decay in time). So they are not constant in time. How can it to be stationary?
cgao's user avatar
  • 51