Independence of two random variables having datasets

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Shankul Saini
Shankul Saini 2023-2-6
评论： Shankul Saini 2023-2-9
Hi there, I hereby have two random varibles data sets names y1 and y2. I am stuck at the checking of their independence using matlab(or in any other ways), can someone help for the corresponding steps..
The correlation between these two random varibles is zero.
for ii=1:10^6
h=sqrt(0.5)*(randn(4,4)+1i*randn(4,4));
g=sqrt(0.5)*(randn(4,4)+1i*randn(4,4));
y=g*h;
y1(ii)=y(1,1);
y2(ii)=y(1,2);
end

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Dongyue
Dongyue 2023-2-8
Ran in:
If two vactor x and y are linearly dependent, there should exist ax + by = 0, so you only have to check:
clear; clc;
result = true;
for ii=1:10
h=sqrt(0.5)*(randn(4,4)+1i*randn(4,4));
g=sqrt(0.5)*(randn(4,4)+1i*randn(4,4));
y=g*h;
%check whether xi1/xi2==yi1/yi2
if real(y(1,1))/imag(y(1,1)) ~= real(y(1,2))/imag(y(1,2))
result = false;
break
end
end
result
result = logical
0

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