THE RELATIONSHIP AMONG THE THREE DISTRIBUTIONS: BINOMIAL, POISSON AND NORMAL DISTRIBUTION

Authors

  • Banda Gerald Mukuba University Itimpi Campus, Kitwe, Zambia

DOI:

https://doi.org/10.47672/ajsas.406

Keywords:

Binomial Distribution, Poisson Distribution, Normal Distribution, Moment Generating Function

Abstract

The relationship among the three distributions: Binomial, Poisson and Normal Distribution are of significant interest in many application contexts. Most of the papers in the literature have focused on the relationship among the three distributions based on the definition. In contrast, this paper proposes a simpler approach on how to   show the relationship between the Normal distribution and Poisson distribution based on the moment generating function. The study has also proposed the method on how to show that the moment generating function for Poisson distribution can be driven from the moment generating function for Normal distribution when , and the moment generating function for Normal distribution is the same as the Probability Mass Function (PMF) for Poisson distribution. The study has proposed on how to show that the moment generating function for Poisson distribution can be driven from the moment generating function for Binomial distribution.

 

 

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Author Biography

Banda Gerald, Mukuba University Itimpi Campus, Kitwe, Zambia

Post graduate student

References

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Published

2019-09-23

How to Cite

Gerald, B. (2019). THE RELATIONSHIP AMONG THE THREE DISTRIBUTIONS: BINOMIAL, POISSON AND NORMAL DISTRIBUTION. American Journal of Statistics and Actuarial Sciences, 4(1), 1–9. https://doi.org/10.47672/ajsas.406

Issue

Vol. 4 No. 1 (2019)

Section

Articles

License

Copyright (c) 2019 Banda Gerald

Creative Commons License

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

Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution (CC-BY) 4.0 License that allows others to share the work with an acknowledgment of the work's authorship and initial publication in this journal.