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AUTHOR(S): 

Dragana Krstic, Mihajlo Stefanovic, Vesad Doljak, Zoran Popovic, Radmila Gerov

 

TITLE

Distribution of Maximum and Minimum of K-µ-g Random Variables

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ABSTRACT

In this paper, the distributions of the maximum and the minimum of ?-µ-g random variables are derived. The ?-µ-g random variable was obtained from ?-µ random variable whose power has Gamma distribution. The expressions for probability density functions (PDF) of the maximum of two ?-µ-g random variables and minimum of two ?-µ-g random variables are performed and analyzed. Using these expressions, performance analysis of wireless communication systems in the presence of ?-µ-g multipath fading and ?-µ-g cochannel interference can be made.

KEYWORDS

κ-µ-g distribution, random variable, probability density function, maximum, minimum, short term fading, shadowing

REFERENCES

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[7] S. Suljović, D. Krstić, S. Maričić, S. Zdravković, V. Milenković, M. Stefanović, Level Crossing Rate of SC Receiver Over Gamma Shadowed Weibull Multipath Fading Channel, to be published towards the end of December 2016. in Tehnički vjesnik/ Technical Gazette, Vol. 23, No. 6.

[8] A. Stanković, Č. Stefanović, N. Sekulović, Z. Popović, M. Stefanović, The Distribution of Minimum of Ratios of Two Random Variables and Its Application in Analysis of Multi-hop Systems, Radioengineering, Vol. 21, No. 4, Dec. 2012.

[9] Modified Bessel Function of the Second Kind, http://mathworld.wolfram.com/ModifiedBessel FunctionoftheSecondKind.html

[10] Gauss hypergeometric function, http://mathworld.wolfram.com/Hypergeometric Function.html

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Cite this paper

Dragana Krstic, Mihajlo Stefanovic, Vesad Doljak, Zoran Popovic, Radmila Gerov. (2016) Distribution of Maximum and Minimum of K-µ-g Random Variables. International Journal of Communications, 1, 194-198

 

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