On The Product and Ratio of Pareto and Erlang Random Variables

Authors

  • Noura Obeid Department of Mathematics and Computer Science, Faculty of Science,Beirut Arab University, Lebanon. Author

DOI:

https://doi.org/10.59543/ijmscs.v1i.7737

Keywords:

Product Distribution, Ratio Distribution, Pareto Distribution, Erlang Distribution, Exponential Distribution, probability density function, Moment of order r, Survival function, Hazard function.

Abstract

The distributions of products and ratios of random variables are of interest in many areas of the sciences.
In this paper, we find analytically the probability distributions of the product XY and the ratio X/Y ,
when X and Y are two independent random variables following Pareto and Erlang distributions, respectively.

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Published

2023-05-23

How to Cite

Noura Obeid. (2023). On The Product and Ratio of Pareto and Erlang Random Variables. International Journal of Mathematics, Statistics, and Computer Science, 1, 33-47. https://doi.org/10.59543/ijmscs.v1i.7737

Issue

Vol. 1 (2023)

Section

Articles

License

Creative Commons License

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

IJMSCS is published Open Access under a Creative Commons CC-BY 4.0 license. Authors retain full copyright, with the first publication right granted to the journal.