Comparison of Moment-Based Parameter Estimation Methods for Rayleigh-Stokes Distribution of Wave Crests and Troughs Academic Article uri icon


  • The Rayleigh-Stokes model has been widely applied to represent the probability distribution function of crests and troughs of weakly nonlinear random processes. In this study, the parameter estimates for the 3-parameter Rayleigh-Stokes probability distribution function model are obtained from application of 2 moment-based empirical parameter estimation methods, i.e. conventional method of moments and method of linear moments. Monte Carlo simulations are utilized to compare the performance of these parameter estimation approaches in estimating the parameters of the Rayleigh-Stokes distribution, and also to evaluate the uncertainty of the extreme statistics. Additionally, the effect of sample size on the uncertainty of the model statistics is evaluated. Finally, the Rayleigh-Stokes model is utilized to estimate the probability distribution function of disturbed wave crests beneath a mini-TLP, and the model performance is evaluated. by The International Society of Offshore and Polar Engineers.

published proceedings


author list (cited authors)

  • Izadparast, A. H., & Niedzwecki, J. M.

complete list of authors

  • Izadparast, Amir H||Niedzwecki, John M

publication date

  • September 2012