New bounds on poisson approximation for random sums of independent negative-binomial randomvariables

Le Truong Giang * and Trinh Huu Nghiem

* Corresponding author (ltgiang@ufm.edu.vn)

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Received: 11 Feb 2018
Revised: 04 Jun 2018
Accepted: 30 Nov 2018
Published: 03 Nov 2018
DOI: 10.22144/ctu.jen.2018.050
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How to Cite
Le, T. G., & Trinh, H. N. (2018). New bounds on poisson approximation for random sums of independent negative-binomial randomvariables. CTU Journal of Innovation and Sustainable Development , 54(10), 149-153. https://doi.org/10.22144/ctu.jen.2018.050
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No. 10 (2018)

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Abstract

The aim of this paper is to establish new bounds on Poisson approximation for random sums of independent negative-binomial random variables. The bounds showed in current paper are a uniform bound and a non-uniform bound.  The received results in this paper are extensions and generalizations of known results.
Keywords: Negative - binomial variable, Poisson approximation, Random sums, Total variation distance, Uniform and non-uniform bound

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This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

References

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