The annual maximum daily rainfall at a hydropower station is provided below.

| April 14, 2018

The annual maximum daily rainfall at a hydropower station is provided below.
a)    Estimate the parameters of the log-normal and GEV distributions by the method of moments.
b)    Plot the empirical cumulative distribution using Weibull formula.
c)    Superimpose on the plot the two fitted distributions.
d)    Estimate the quantiles (maximum daily rainfall) corresponding to return periods of 5, 10, 20, 50, 100, 200, 500, 1000 years using both fitted distributions, and show the points on the plot.
e)    Use Kolmogorov-Smirnov test to select the preferred distribution.

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