Estimating the parameters of ocean wave spectra

Wind-generated waves are often treated as stochastic processes. There is particular interest in their spectral density functions, which expressed some parametric form. Such functions used inputs when modelling structural response or other engineering concerns. Therefore, accurate and precise recovery of the parameters such a form, from observed wave records, important. Current techniques known to struggle with recovering certain parameters, especially peak enhancement factor tail decay. We introduce an approach statistical literature, de-biased Whittle likelihood, address practical concerns regarding its implementation context wind-generated waves. demonstrate, through numerical simulation, that likelihood outperforms current techniques, least squares fitting, both terms accuracy precision recovered parameters. also provide method for estimating uncertainty parameter estimates. perform example analysis on data-set recorded off coast New Zealand, illustrate extra arise spectra data.