Statistical Analysis of Ratio of Random Variables and Its Application in Performance Analysis of Multihop Wireless Transmissions

Statistical Analysis of Ratio of Random Variables and Its Application in Performance Analysis of Multihop Wireless Transmissions

The distributions of random variables are of interest in many areas of science. In this paper, the probability density function (PDF) and cumulative distribution function (CDF) of ratio of products of two random variables and random variable are derived. Random variables are described with Rayleigh,...

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Veröffentlicht in:Mathematical Problems in Engineering 2012-01, Vol.2012 (2012), p.1744-1753-599
Hauptverfasser: Edis Mekić, Mihajlo Stefanović, Petar Spalević, Nikola Sekulović, Ana Stanković
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Mihajlo Stefanović
Petar Spalević
Nikola Sekulović
Ana Stanković
description The distributions of random variables are of interest in many areas of science. In this paper, the probability density function (PDF) and cumulative distribution function (CDF) of ratio of products of two random variables and random variable are derived. Random variables are described with Rayleigh, Nakagami-m, Weibull, and α-μ distributions. An application of obtained results in performance analysis of multihop wireless communication systems in different transmission environments described in detail. The proposed mathematical analysis is also complemented by various graphically presented numerical results.
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