论文标题
关于通过低指数分布的指数分布的表征
On characterization of the exponential distribution via hypoexponential distributions
论文作者
论文摘要
独立但没有相同分布的指数随机变量的总和遵循低指数分布。我们专注于所有情况下的特定情况，但是指数变量的一个速率参数是相同的。这被称为分子生物学中的指数修饰的Erlang分布。我们证明了指数分布的表征，该分布通过低指数分布与所有速率彼此不同。
The sum of independent, but not necessary identically distributed, exponential random variables follows hypoexponential distribution. We focus on a particular case when all, but one rate parameters of the exponential variables are identical. this is known as exponentially modified Erlang distribution in molecular biology. We prove a characterization of the exponential distribution, which complements previous characterizations via hypoexponential distribution with all rates different from each other.
