Wave statistics for March 1968 North Atlantic storm

Abstract

Marine Research and Development, Chicago Bridge and Iron Company, Plainfield, Illinois 60544A recent 1968 North Atlantic storm is investigated. The statistics of the wave parameters, namely, wave height and period, are studied. The wave data are analyzed in the time domain to obtain wave parameters by Tucker's method. Spectrum analysis is undertaken to obtain the same statistical quantities. The parameters calculated by the two methods are compared with each other. Overall, the two methods are found to agree within acceptable limits. The statistical distribution, e.g., Rayleigh, of the individual wave heights and wave periods in a record is studied with reference to the spectral width parameter. The theoretical correlation of the distribution of height is found to be mostly poor, whereas the Rayleigh distribution of the square of the period yielded better correlation coefficients. It is argued that the significant wave height varies either with the square of the mean wave period or with both the period and its square in a linear fashion. The joint distribution of these two quantities for this storm is discussed.

A New Distribution for Extreme Values: Regression Model, Characterizations and Applications

“…where the random variable = ( ) follows the LTLFr distribution given by (15). The MLEs of the model parameters and their asymptotic SEs are listed at the end of Table 8.…”