We discuss various aspects of statistical distributions for large waves. Sp
atial zero-level downcrossing waves evolving in time are considered. We cal
l such a wave extremal if its crest height attains a local maximum in time.
For extremal waves, the joint distribution of the wave length and the cres
t height is obtained. Generally, it is observed that taking into account ti
me dynamics of spatial characteristics results in distributions different f
rom those obtained for static records. Some other statistical issues for la
rge waves are also discussed, including the Rayleigh model for the crest he
ight, the evolution of wave groups, and the myth of the seventh wave.