Shifting Bivariate Distribution to a New Center

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Hello,
I need help shifting the center of a bivariate distribution. Using MATLAB's example,
mu = [0 0];
Sigma = [0.25 0.3; 0.3 1];
x1 = -3:0.2:3;
x2 = -3:0.2:3;
[X1,X2] = meshgrid(x1,x2);
X = [X1(:) X2(:)];
y = mvnpdf(X,mu,Sigma);
y = reshape(y,length(x2),length(x1));
figure(1)
surf(x1,x2,y)
% caxis([min(y(:))-0.5*range(y(:)),max(y(:))])
% axis([-3 3 -3 3 0 0.4])
xlabel('x1')
ylabel('x2')
zlabel('Probability Density')
I would like to shift this distribution to a new center of (2,2). As of now, it's centered at (0,0).
I know that this could be done during the plotting of the distribution. But I would like to shift the entire distribution utilizing the same x1 and x2 arrays.

Accepted Answer

Torsten
Torsten on 9 Apr 2022
mu = [2 2];
instead of
mu = [0 0];
  2 Comments
Thomas Rodriguez
Thomas Rodriguez on 9 Apr 2022
Is there a way to shift the distribution without chaning mu? Or is this the only possibility?
Torsten
Torsten on 10 Apr 2022
The center is the mean - so this is the only possibility.

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