  This work presents an analysis of ocean wave data including rogue waves. A
stochastic approach based on the theory of Markov processes is applied. With
this analysis we achieve a characterization of the scale dependent complexity
of ocean waves by means of a Fokker-Planck equation, providing stochastic
information of multi-scale processes. In particular we show evidence of Markov
properties for increment processes, which means that a three point closure for
the complexity of the wave structures seems to be valid. Furthermore we
estimate the parameters of the Fokker-Planck equation by parameter-free data
analysis. The resulting Fokker-Planck equations are verified by numerical
reconstruction. This work presents a new approach where the coherent structure
of rogue waves seems to be integrated into the fundamental statistics of
complex wave states.
