The definition of independence of random variables from a measure-theoretic standpoint is so confusing (independence of generated sigma-algebras, etc.) that I cannot answer this seemingly simple question...So if [itex]X,Y[/itex] are independent random variables, does that mean [itex]X,X^2,X^3,X^4,\ldots[/itex] and [itex]Y,Y^2,Y^3,\ldots[/itex] are each pairwise independent?(adsbygoogle = window.adsbygoogle || []).push({});

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# If X and Y are independent, are X^k and Y?

Loading...

**Physics Forums | Science Articles, Homework Help, Discussion**