You determine the shape parameters $(=1\mathrm{.}4,=0\mathrm{.}7)$ after fitting extreme wave data to a

Gumbel distribution. Calculate the $100-$year return wave height for the site.

Gumbel: $,H_{T_R}=-ln(ln(\frac{1}{P}))=-ln(ln\{\frac{T_R}{T_R-1}\})$

You are asked to characterise the wave climate at a site using $10$ years of hourly wave data.

Describe some of the statistical parameters and plots that you might produce.