Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.
Assume X$X$,Y$Y$ are independent zero mean random variables.
Define Z1=X+Y Define $Z_1=X+Y$ and $Z_2=X-Y$. Then,Z2=X-Y
There their mean values are the same.
How to
How does one check Z1,Z2that $Z_1$ and $Z_2$ are not the same random variables?
And how to describe their variances?
Assume X,Y are independent zero mean random variables.
Define Z1=X+Y,Z2=X-Y
There mean values are the same.
How to check Z1,Z2 are not the same random variables?
And how to describe their variances?
Assume $X$,$Y$ are independent zero mean random variables. Define $Z_1=X+Y$ and $Z_2=X-Y$. Then, their mean values are the same.
How does one check that $Z_1$ and $Z_2$ are not the same random variables?
And how to describe their variances?
