On bounds in Poisson approximation for distributions of independent negative-binomial distributed random variables

Using the Stein–Chen method some upper bounds in Poisson approximation for distributions of row-wise triangular arrays of independent negative-binomial distributed random variables are established in this note.

Detalles Bibliográficos
Autores principales: Hung, Tran Loc, Giang, Le Truong
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2016
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4728169/
https://www.ncbi.nlm.nih.gov/pubmed/26844026
http://dx.doi.org/10.1186/s40064-016-1710-y
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author Hung, Tran Loc
Giang, Le Truong
author_facet Hung, Tran Loc
Giang, Le Truong
author_sort Hung, Tran Loc
collection PubMed
description Using the Stein–Chen method some upper bounds in Poisson approximation for distributions of row-wise triangular arrays of independent negative-binomial distributed random variables are established in this note.
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spelling pubmed-47281692016-02-03 On bounds in Poisson approximation for distributions of independent negative-binomial distributed random variables Hung, Tran Loc Giang, Le Truong Springerplus Research Using the Stein–Chen method some upper bounds in Poisson approximation for distributions of row-wise triangular arrays of independent negative-binomial distributed random variables are established in this note. Springer International Publishing 2016-01-26 /pmc/articles/PMC4728169/ /pubmed/26844026 http://dx.doi.org/10.1186/s40064-016-1710-y Text en © Hung and Giang. 2016 Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Hung, Tran Loc
Giang, Le Truong
On bounds in Poisson approximation for distributions of independent negative-binomial distributed random variables
title On bounds in Poisson approximation for distributions of independent negative-binomial distributed random variables
title_full On bounds in Poisson approximation for distributions of independent negative-binomial distributed random variables
title_fullStr On bounds in Poisson approximation for distributions of independent negative-binomial distributed random variables
title_full_unstemmed On bounds in Poisson approximation for distributions of independent negative-binomial distributed random variables
title_short On bounds in Poisson approximation for distributions of independent negative-binomial distributed random variables
title_sort on bounds in poisson approximation for distributions of independent negative-binomial distributed random variables
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4728169/
https://www.ncbi.nlm.nih.gov/pubmed/26844026
http://dx.doi.org/10.1186/s40064-016-1710-y
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