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Feb 25, 2014 at 20:13 comment added Hengyu Zhou I got this. In the case of Levy process it is true. More generally, this conclusion is ture for additive process. We only need the increment $X_{t}-X_{s}$ is independent of $X_{s}$.
Feb 25, 2014 at 2:30 comment added Bjørn Kjos-Hanssen Levy processes would be different
Feb 25, 2014 at 2:04 vote accept Hengyu Zhou
Feb 25, 2014 at 1:10 history answered Bjørn Kjos-Hanssen CC BY-SA 3.0