Consider the following data from a random process following the Weibull extreme value distribution, where X is a vector of intervals in which realizations of the random process were observed and Y is the relative frequency of these observations, e.g.
Xint = [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20];Y = [0.0275,0.0780,0.1164,0.1379,0.142,0.1315,0.1114,0.0872,0.0634,0.0430,0.0273,0.0162,0.00910,0.00480,0.00240,0.0011,0.0005,0.00015,0.0001,0.00005];
How can I obtain the scale and shape parameter of the underlying Weibull distribution from the relative frequency of observations in the given intervals?
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