Tail bounds for weighted sums of independent Poisson random variables

Dawei Lu, Xiating Liu and Yan Wang

Communications in Statistics - Theory and Methods, 2025, vol. 54, issue 7, 1917-1929

Abstract: In this article, we provide the recursive inequalities for weighted sums of Poisson random variables. Furthermore, we establish their upper and lower bounds. Some numerical simulations are also demonstrated. Particularly, in some cases, we demonstrate that our bounds are sharper than the ones in Pelekis (2016) by numerical results.

Date: 2025
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DOI: 10.1080/03610926.2024.2352778

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