GUIDE WAVE ANALYSIS AND FORECASTING - WMO
GUIDE WAVE ANALYSIS AND FORECASTING - WMO
GUIDE WAVE ANALYSIS AND FORECASTING - WMO
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138<br />
Probability paper<br />
[ ( ) ]<br />
x = log −log 1−p<br />
y = log( θ – h)<br />
Probability plotting can only be used to estimate θ by plotting several lines and using some goodness-of-fit criterion<br />
(see text for details).<br />
The FT-III distribution is a special case of the GEV (θ < 0). For this reason, it is advisable to use the estimation techniques<br />
referenced for the GEV. If the transformation X = –X is applied to the FT-III, a three-parameter Weibull<br />
distribution is obtained.<br />
10. Generalized Pareto distribution<br />
f( x)<br />
1 x<br />
=<br />
⎛<br />
–<br />
⎞ β −1<br />
1 β<br />
α ⎝ α ⎠<br />
x > 0<br />
= 0<br />
otherwise<br />
1<br />
<strong>GUIDE</strong> TO <strong>WAVE</strong> <strong>ANALYSIS</strong> <strong>AND</strong> <strong>FORECASTING</strong><br />
This distribution is the asymptotic distribution for exceedances over a level (in a similar way to the GEV<br />
for extremes). For details of its use and estimators, see Smith (1984). The exponential distribution is a special case<br />
with β = 0.
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