A Review of Results on Sums of Random Variables

Sums of random variables arise naturally in wireless communications and related areas. Here, we provide a review of the known results on sums of exponential, gamma, lognormal, Rayleigh and Weibull random variables. A discussion is provided of two applications. We expect that this review could serve...

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Veröffentlicht in:	Acta applicandae mathematicae 2008-09, Vol.103 (2), p.131-140
1. Verfasser:	Nadarajah, Saralees
Format:	Artikel
Sprache:	eng
Schlagworte:	Applications of Mathematics Calculus of Variations and Optimal Control Optimization Computational Mathematics and Numerical Analysis Expected values Mathematical models Mathematics Mathematics and Statistics Partial Differential Equations Probability Theory and Stochastic Processes Random variables Studies Sums Wireless communication Wireless communications
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Beschreibung
Zusammenfassung:	Sums of random variables arise naturally in wireless communications and related areas. Here, we provide a review of the known results on sums of exponential, gamma, lognormal, Rayleigh and Weibull random variables. A discussion is provided of two applications. We expect that this review could serve as a useful reference and help to advance further research in this area.
ISSN:	0167-8019 1572-9036
DOI:	10.1007/s10440-008-9224-4