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Telecommunication Systems
Published in: Telecommunication Systems 2/2018

27-09-2017

On the distribution of the product and ratio of products of EGK variates with applications

Authors: Yousuf Abo Rahama, Mahmoud H. Ismail, Mohamed S. Hassan

Published in: Telecommunication Systems | Issue 2/2018

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Abstract

We derive novel exact closed-form expressions for the probability density function (PDF) and cumulative distribution function (CDF) of the product and ratio of products of an arbitrary number of independent non-identically distributed (i.n.i.d) extended generalized-\(\mathcal {K}\) (EGK) variates. The expressions are given in terms of the Meijer’s G-function and can be computed easily using commonly available mathematical software tools. They also subsume those for arbitrary combinations of other well-known variates and can be directly utilized in performance evaluation of wireless communication systems under different scenarios. We present various analytical results that are verified via Monte-Carlo simulations for both the PDF and CDF as well as their application in multiple practical scenarios.
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Metadata
Title
On the distribution of the product and ratio of products of EGK variates with applications
Authors
Yousuf Abo Rahama
Mahmoud H. Ismail
Mohamed S. Hassan
Publication date
27-09-2017
Publisher
Springer US
Published in
Telecommunication Systems / Issue 2/2018
Print ISSN: 1018-4864
Electronic ISSN: 1572-9451
DOI
https://doi.org/10.1007/s11235-017-0389-x

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