Statistical information on the annual maxima (i.e., annual maximum floods) for a river is summarized below. [The number of years (n = 45), mean of annual maximum floods = 2700 m3/s, the standard deviation of annual maximum floods = 1300 m3/s, likewise the mean of logarithms of annual maximum floods = 3.1, the standard deviation of the logarithm of annual maximum
Statistical information on the annual
[The number of years (n = 45), mean of annual maximum floods = 2700 m3/s, the standard deviation
of annual maximum floods = 1300 m3/s, likewise the mean of logarithms of annual maximum floods =
3.1, the standard deviation of the logarithm of annual maximum floods = 0.4, coefficient of skewness
(also known as skew coefficient) of the logarithm of annual maximum floods = - 0.35)].
Compute the 100-yr flood using the following probability distributions: (i) Normal, (ii) Gumbel, (iii) Log Pearson-III,
and (iv) the 95% confidence limits for the Log-Pearson-III corresponding to the return periods of 80-yr and 20-yr.
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