The distribution function of the maximum of \(n\) random variables and its application in communication theory

DOI10.1134/s1995080223060124OpenAlexW4387316400MaRDI QIDQ6074751

Yu. A. Brychkov, N. V. Savischenko

Publication date: 12 October 2023

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080223060124

zbMATH Keywords

special functionsprobability distribution functionfadingnoise immunityKummer functionGaussian functionAppel functionHumbert functionOwen function\( \kappa-\mu\) distributionRice-Nakagami distribution

Mathematics Subject Classification ID

Extreme value theory; extremal stochastic processes (60G70) Probability distributions: general theory (60E05) Communication theory (94A05)

Cites Work

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• Multiple hypergeometric functions in communication theory: Evaluations of error probabilities for four-parameter, \( \kappa{-}\mu\) and \(\eta{-}\mu\) signals distributions in general fading channels
• Some properties of the OwenT-function
• Special Integral Functions Used in Wireless Communications Theory
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• On some formulas for the Horn functions H₃ (a, b; c; w, z), (a; c; w, z) and Humbert function Φ₃(b; c; w, z)
• A special function of communication theory
• On new reduction formulas for the Humbert functions Ψ₂, Φ₂and Φ₃
• Connections Between the Generalized Marcum $Q$-Function and a Class of Hypergeometric Functions
• Fading and Shadowing in Wireless Systems

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