r -- 1 



where , 



. \f ^l 



l+l- /^V, 







(11) 



Thus, the conditional probability of wave height, E,, for a given 

 spectrum can be evaluated by Equation (11) . Since we use a family of 

 spectra, the conditional probability has to be weighted. For this, let 

 us write the non-dimensional wave height, E,, given in Equation (11) as 

 5. identifying that it is applicable for the j-th member of the spectral 

 family. Then, the conditional probability applicable for the short-term 

 is given by. 





(12) 



where, p. = weighting factor assigned to the j-th wave spectrum 



n. = number of wave cycles per unit time for the j-th spectram 



in a specified sea 

 m, = k-th moment of the wave spectrum 

 Finally, the unknown non-dimensional extreme wave height in Equation 

 (12) can be evaluated by equating Equation (12) with the probability 1/N, 

 where N is the total number of wave cycles in a specified sea, that is. 



101 



