Methods of fitting the Fisher-Tippett type 1 extreme value distribution |
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Authors: | DJT Carter PG Challenor |
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Institution: | Institute of Oceanographic Sciences, Wormley, Godalmig, Surrey, U.K. |
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Abstract: | Methods are described for estimating the parameters of the Fisher-Tippet Type 1 extreme value distribution and associated return values from measured extremes, such as maximum wave height. A comparison of these methods, with simulated data, shows that those using Gumbel's plotting position are least satifactory. Maximum likelihood methods give the smallest mean square errors, but the very much simpler method of moments is nearly as good. |
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