POISSON APPROXIMATION FOR RANDOM SUMS OF INDEPENDENT NEGATIVE BINOMIAL RANDOM VARIABLES

K. Teerapabolarn

doi:10.12732/ijpam.v93i6.3

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POISSON APPROXIMATION FOR RANDOM SUMS OF INDEPENDENT NEGATIVE BINOMIAL RANDOM VARIABLES

K. Teerapabolarn

Year: 2014 Journal: International Journal of Pure and Apllied Mathematics Vol: 93 (6) Publisher: Academic Publications

DOI: 10.12732/ijpam.v93i6.3

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Abstract

In this paper, we focus on determining a bound for the total variation distance between the distribution of random sums of independent negative binomial random variables and an appropriate Poisson distribution.Two examples have been given to illustrate the result obtained.

Keywords:

Mathematics Poisson distribution Negative binomial distribution Random variable Statistics Binomial (polynomial)

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Probability and Risk Models

Social Sciences → Decision Sciences → Management Science and Operations Research

POISSON APPROXIMATION FOR RANDOM SUMS OF INDEPENDENT NEGATIVE BINOMIAL RANDOM VARIABLES

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