JOURNAL ARTICLE

A NON-UNIFORM BOUND ON POISSON APPROXIMATION FOR RANDOM SUMS OF GEOMETRIC RANDOM VARIABLES

K. Teerapabolarn

Year: 2014 Journal:   International Journal of Pure and Apllied Mathematics Vol: 90 (1)   Publisher: Academic Publications

Abstract

We determine a non-uniform bound for the distance between the distribution function of random sums of independent geometric random variables and an appropriate Poisson distribution function.Two examples have been given to illustrate the result obtained.

Keywords:
Poisson distribution Mathematics Random variable Geometric distribution Function (biology) Distribution (mathematics) Random function Combinatorics Probability distribution Mathematical analysis Statistics

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Topics

Data Management and Algorithms
Physical Sciences →  Computer Science →  Signal Processing
Probability and Risk Models
Social Sciences →  Decision Sciences →  Management Science and Operations Research

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