WSEAS Transactions on Systems
Print ISSN: 1109-2777, E-ISSN: 2224-2678
Volume 15, 2016
The Statistics of the K-μ-g Random Variables
Authors: , , , ,
Abstract: In this paper, the analysis of the κ-μ-g random variable is presented. The κ-μ-g random variable was obtained from κ-μ random variable whose power follows Gamma distribution. The closed form expressions for probability density function (PDF) and cumulative distribution function (CDF) of κ-μ-g random variable are determined. Then, PDFs of the moment of n-th order of κ-μ-g random variable, maximum, minimum, ratio and product of two κ-μ-g random variables are derived in the closed form. This analysis is important for the modelling of the wireless mobile communication systems in the presence of κ-μ-g short term fading, Gamma shadowing and κ-μ-g cochannel interference.
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Keywords: κ-μ-g distribution, random variable, probability density function, maximum, minimum, moments, product, ratio, shadowing, short term fading
Pages: 146-156
WSEAS Transactions on Systems, ISSN / E-ISSN: 1109-2777 / 2224-2678, Volume 15, 2016, Art. #16