An improved bound for negative binomial approximation with -functions

In this article, we use Stein’s method together with -functions to give an improved bound for the total variation distance between the distribution of a non-negative integer-valued random variable and the negative binomial distribution with parameters and , where is equal to the mean of , . The impr...

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Bibliographic Details
Main Author: K. Teerapabolarn
Format: Article
Language:English
Published: Taylor & Francis Group 2017-12-01
Series:AKCE International Journal of Graphs and Combinatorics
Subjects:
Online Access:http://dx.doi.org/10.1016/j.akcej.2017.04.005