Saddlepoint Approximations of Cumulative Distribution Functions of Sums of Random Vectors - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Conference Papers Year : 2021

Saddlepoint Approximations of Cumulative Distribution Functions of Sums of Random Vectors

Abstract

In this paper, a real-valued function that approximates the cumulative distribution function (CDF) of a finite sum of real-valued independent and identically distributed random vectors is presented. The approximation error is upper bounded by an expression that is easy to calculate. As a byproduct, an upper bound and a lower bound on the CDF are obtained. Finally, in the case of lattice and absolutely continuous random variables, the proposed approximation is shown to be identical to the saddlepoint approximation of the CDF.
Fichier principal
Vignette du fichier
CameraReady.pdf (540.58 Ko) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

hal-03226009 , version 1 (13-05-2021)

Identifiers

Cite

Dadja Anade, Jean-Marie S Gorce, Philippe Mary, Samir M. Perlaza. Saddlepoint Approximations of Cumulative Distribution Functions of Sums of Random Vectors. ISIT 2021 - IEEE International Symposium on Information Theory, Jul 2021, Melbourne / Virtual, Australia. pp.1-6, ⟨10.1109/ISIT45174.2021.9518101⟩. ⟨hal-03226009⟩
65 View
156 Download

Altmetric

Share

Gmail Facebook X LinkedIn More