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August 2021 Dirac distributions related to sums of independent nonidentically uniform random variables
Youssef Lazar, Bander Almutairi
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Braz. J. Probab. Stat. 35(3): 435-441 (August 2021). DOI: 10.1214/20-BJPS484

Abstract

The aim of this note is to give an elegant proof of a result due to E. G. Olds which concerns the density distribution of the sum of independent uniform random variables non-identically distributed. The proof uses both analytical and combinatorial properties of Dirac distributions and their convolutions. The method is new and can apply to other situations.

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Youssef Lazar. Bander Almutairi. "Dirac distributions related to sums of independent nonidentically uniform random variables." Braz. J. Probab. Stat. 35 (3) 435 - 441, August 2021. https://doi.org/10.1214/20-BJPS484

Information

Received: 1 October 2019; Accepted: 1 August 2020; Published: August 2021
First available in Project Euclid: 22 July 2021

Digital Object Identifier: 10.1214/20-BJPS484

Rights: Copyright © 2021 Brazilian Statistical Association

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Vol.35 • No. 3 • August 2021
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