Assume that the daily maximum wind speed at a given location follows a Gaussian distribution with a mean speed of 15 mph and a coefficient of variation of 67%. (a) Determine the asymptotic distribution of the annual maximum wind speed for the location, that is, specify the asymptotic type of the distribution and the associated parameters. (b) Using the results of (a), derive the corresponding asymptotic distribution for the 50-year maximum wind speed and estimate its mean value.

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Assume that the daily maximum wind speed at a given location follows a Gaussian
distribution with a mean speed of 15 mph and a coefficient of variation of 67%. (a)
Determine the asymptotic distribution of the annual maximum wind speed for the
location, that is, specify the asymptotic type of the distribution and the associated
parameters. (b) Using the results of (a), derive the corresponding asymptotic
distribution for the 50-year maximum wind speed and estimate its mean value.
Transcribed Image Text:Assume that the daily maximum wind speed at a given location follows a Gaussian distribution with a mean speed of 15 mph and a coefficient of variation of 67%. (a) Determine the asymptotic distribution of the annual maximum wind speed for the location, that is, specify the asymptotic type of the distribution and the associated parameters. (b) Using the results of (a), derive the corresponding asymptotic distribution for the 50-year maximum wind speed and estimate its mean value.
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