论文标题
独立伽马随机变量的总和的熵
Entropies of sums of independent gamma random variables
论文作者
论文摘要
我们在固定方差下建立了几种Schur-Convexity类型的结果，以实现独立伽玛随机变量的加权总和，并在其rényi熵上获得非震荡界限。特别是，这与Bartczak-Nayar-Zwara以及Bobkov-Naumov-ulyanov的最新结果有关，提供了前者的简单证明并扩展了后者。
We establish several Schur-convexity type results under fixed variance for weighted sums of independent gamma random variables and obtain nonasymptotic bounds on their Rényi entropies. In particular, this pertains to the recent results by Bartczak-Nayar-Zwara as well as Bobkov-Naumov-Ulyanov, offering simple proofs of the former and extending the latter.
