JOURNAL ARTICLE
POISSON APPROXIMATION FOR RANDOM SUMS OF GEOMETRIC RANDOM VARIABLES
Year: 2013 Journal: International Journal of Pure and Apllied Mathematics Vol: 89 (1) Publisher: Academic Publications
Abstract
In this paper, we determine bounds with different Poisson mean for the total variation distance between the distribution of random sums of independent geometric random variables and an appropriate Poisson distribution.Two examples have been given to illustrate the results obtained.
Keywords:
Poisson distribution Mathematics Random variable Compound Poisson distribution Geometric distribution Distribution (mathematics) Zero-inflated model Statistics Combinatorics Poisson regression Mathematical analysis Probability distribution
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Topics
Probability and Risk Models
Social Sciences → Decision Sciences → Management Science and Operations Research
Mathematical Approximation and Integration
Physical Sciences → Mathematics → Numerical Analysis
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