Asked by Aaron
on 7 Jun 2013

Using MATLAB, what is the best way to find the integral of a bounded range of a CDF. I've heard of trapz, cumtrapz, etc. but I do not know the best way to proceed for integrating CDFs. Please refer to the following code:

u = 1; s = 1; X = random('Normal',u,s,1,10000); pd = makedist('Normal','mu',u,'sigma',s); xAxis = min(X):.0001:max(X); c_pd = cdf(pd,xAxis); r = icdf(pd,[.3,.6]); plot(xAxis,c_pd)

Basically, I am trying to integrate c_pd between the corresponding X values for .3 and .6 (found by using icdf). However, c_pd is a vector and not the actual cdf function. Does anyone have ideas on the best way to find the integral of this regardless of the distribution type (i.e. Normal, Rician, etc.)? Please advise. Thank you.

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Answer by Mike Hosea
on 7 Jun 2013

Accepted answer

Well, you *have* the function as well, not just the vector. If I understand you correctly,

integral(@(x)cdf(pd,x),r(1),r(2))

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Mike Hosea
on 11 Jun 2013

Opportunities for recent engineering grads.

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