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random number of two random varibles.

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eden meirovich
eden meirovich 2021-4-28
评论： Jeff Miller 2021-4-28
i have 2 random varibles, w and T. they both a ranom varibles of 2 varibles a density function ( f(,w,T)).
is there a way to create a number like rand for this case? i have 2 cases:
where w and T are both uniform disturbiution and where they both gaussian (and might have corelation)
Thank you

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回答（2 个）

Image Analyst
Image Analyst 2021-4-28
Did you see the rand() and randn() functions?
w = rand(1, 10000);
T = rand(1, 10000);
w = theMean + stDev * randn(1, 1000);
T = theMean + stDev * randn(1, 1000);
Adapt as needed.
Not sure how to correlate the w with T, but there's probably an option or function for doing that.
Bruno Luong
Bruno Luong 2021-4-28
编辑：Bruno Luong 2021-4-28
If K is the (2 x 2) covariariance matrix of (w,T) and mu (2 x 1) is the mean of (w,T), you can generate them like this
n = 1000; % number of samples
L = chol(K);
X = mu + L'*randn(2,n);
w = X(1,:)
T = X(2,:)
  1 个评论
Jeff Miller
Jeff Miller 2021-4-28
This is for the case of two normals. For the case of two correlated uniforms, you could adapt the method given in response to this question.

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