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random number of two random varibles.

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eden meirovich
eden meirovich 2021년 4월 28일
댓글: Jeff Miller 2021년 4월 28일
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

답변(2개)

Image Analyst
Image Analyst 2021년 4월 28일
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 2021년 4월 28일
편집: Bruno Luong 2021년 4월 28일
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,:)
  댓글 수: 1
Jeff Miller
Jeff Miller 2021년 4월 28일
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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