Relative Error of Scaled Poisson Approximation via Stein's Method

Fuente: arXiv
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Autores principales: Tan, Yue, Lu, Yingdong, Xia, Cathy
Formato: Preprint
Publicado: 2018
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author Tan, Yue
Lu, Yingdong
Xia, Cathy
author_facet Tan, Yue
Lu, Yingdong
Xia, Cathy
contents We study the accuracy of a scaled Poisson approximation to the weighted sum of independent Poisson random variables, focusing on in particular the relative error of the tail distribution. A bound on the relative approximation error is established using a modified Stein-Chen method.
format Preprint
id arxiv_https___arxiv_org_abs_1810_04300
institution arXiv
publishDate 2018
record_format arxiv
spellingShingle Relative Error of Scaled Poisson Approximation via Stein's Method
Tan, Yue
Lu, Yingdong
Xia, Cathy
Probability
We study the accuracy of a scaled Poisson approximation to the weighted sum of independent Poisson random variables, focusing on in particular the relative error of the tail distribution. A bound on the relative approximation error is established using a modified Stein-Chen method.
title Relative Error of Scaled Poisson Approximation via Stein's Method
topic Probability
url https://arxiv.org/abs/1810.04300