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Entropies of sums of independent gamma random variables
Giorgos Chasapis, Salil Singh, Tomasz Tkocz · 2022-01-21 · via math.PR updates on arXiv.org

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.

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