论文标题
KAC-Bernstein定理的信息理论证明
An Information-Theoretic Proof of the Kac--Bernstein Theorem
论文作者
论文摘要
所示的简短，信息理论的证明，如下所示：对于任何独立的随机变量$ x $和$ y $，如果$ x+y $和$ x-y $是独立的，则$ x $和$ y $是正态分布的。
A short, information-theoretic proof of the Kac--Bernstein theorem, which is stated as follows, is presented: For any independent random variables $X$ and $Y$, if $X+Y$ and $X-Y$ are independent, then $X$ and $Y$ are normally distributed.
