Cramér's Theorem

If X and Y are independent variates and X+Y is a normal distribution, then both X and Y must have normal distributions. This was proved by Cramér in 1936.

See also

Normal Distribution

Explore with Wolfram|Alpha

Cite this as:

Weisstein, Eric W. "Cramér's Theorem." From MathWorld--A Wolfram Web Resource.

Subject classifications