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

DOI:

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

Keywords:

Product Distribution, Ratio Distribution, Pareto Distribution, Erlang Distribution, Exponential Distribution, 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

2023-05-09

How to Cite

Obeid, N. (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

Section

Original Research Articles