A non-uniform bound on Poisson approximation for a sum of negative binomial random variables

A non-uniform bound on Poisson approximation for a sum of negative binomial random variables

This paper uses the Stein–Chen method to determine a non-uniform bound on the point metric between the distribution of a sum of independent negative binomial random variables and a Poisson distribution with mean 1 n i i i r q     , where r i and pi= I - qi are parameters of each nega...

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Bibliographic Details
Main Author: Kanint Teerapabolarn
Format: Article
Language:English
Published: Prince of Songkla University 2017-06-01
Series:Songklanakarin Journal of Science and Technology (SJST)
Subjects:
negative binomial distribution
non-uniform bound
point metric
Poisson approximation
Stein–Chen method
Online Access:http://rdo.psu.ac.th/sjstweb/journal/39-3/39-3-10.pdf

Internet

http://rdo.psu.ac.th/sjstweb/journal/39-3/39-3-10.pdf

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