In this paper we present a methodology for the evaluation of significant wave heights, significant wave periods, maximum winds and minimum pressures using a modification of the original Hydromet-Rankin Vortex Model, Bretchneider (1990) and Holland (1980). The cyclone model is compared to the data series of 29 cyclones recorded by NOAA National Data Buoy Center bouys. Both models present very good results. For the analysis, the database uses 53 years of records, 541 hurricanes on the Atlantic Ocean. For the extreme analyses of wind and wave heights on the Mexican coasts, maps of the location and scale parameters used in the Gumbel cumulative distribution function and numerical results for 50 and 100 years return period are provided.

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