论文标题
关于指数和双重指数分布的表征
On a characterization of exponential and double exponential distributions
论文作者
论文摘要
最近，G。〜yanev以某些混合物密度的功能方程式获得了指数分布家族的表征。本说明的目的是双重的：我们通过放松混合系数的符号来扩展Yanev的定理，此外，还获得了针对拉普拉斯分布的类似表征。
Recently, G.~Yanev obtained a characterization of the exponential family of distributions in terms of a functional equation for certain mixture densities. The purpose of this note is twofold: we extend Yanev's theorem by relaxing a restriction on the sign of mixture coefficients and, in addition, obtain a similar characterization for the Laplace family of distributions.
