Thread: about independence

if X1, X2 are independent, can we say X1^2 and X^2 or X1 and X2^2 are also independent ??

If and are independent, then for *any* function , is independent of . So the answer to your question is yes.

Sidenote: I put asterisk on *any* because actually not all functions work but you don't really have to worry about it.