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    %% Compute the Generalized Extreme Value Distribution pdf
%

% Copyright 2015 The MathWorks, Inc.


%%
% Generate examples of probability density functions for the three basic
% forms of the generalized extreme value distribution.
x = linspace(-3,6,1000);
y1 = gevpdf(x,-.5,1,0); 
y2 = gevpdf(x,0,1,0); 
y3 = gevpdf(x,.5,1,0);
plot(x,y1,'-', x,y2,'--', x,y3,':')
legend({'K < 0, Type III' 'K = 0, Type I' 'K > 0, Type II'})

%%
% Notice that for |k = 0|, the distribution has zero probability density
% for |x| such that $x < -\sigma/k + \mu$.

%%
% For |k = 0|, the distribution has zero probability density for
% $x > -\sigma/k + \mu$.

%%
% For |k = 0|, there is no upper or lower bound.