A stochastic process
exists; it is called the derivative of the stochastic process
Namely,
exists. A stochastic process having a mean-square derivative is absolutely continuous. More precisely, for every
A sufficient condition for the existence of a process equivalent to a given one with continuously differentiable trajectories is that its mean square-derivative
[1] | I.I. Gikhman, A.V. Skorokhod, "Introduction to the theory of stochastic processes" , Saunders (1967) (Translated from Russian) |
For additional references see Stochastic process.