using contour()

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Bahareh
Bahareh on 16 Apr 2011
I have a distribution with a 1x2 mean vector and a 2x2 covariance matrix. I would like to display the distribution using contour(). Can you please help me?

Accepted Answer

Teja Muppirala
Teja Muppirala on 16 Apr 2011
Say your mean is m, and your covariance is S.
m = [1 2];
S = [2 1; 1 10];
The easy way: If you have the statistics toolbox, there is a function called "gmdistribution"
G = gmdistribution(m,S)
F = @(x,y) pdf(G,[x y])
ezcontour(F)
The hard way: Find the equation for a multivariate normal distribution on Wikipedia:
It's at the top right hand side, and type that long expression into MATLAB:
F = @(x,y) (1/2*pi) * (1/sqrt(det(S))) * exp(-0.5* ...
ezcontour(F)
  1 Comment
Bahareh
Bahareh on 16 Apr 2011
Thanks a lot.

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