Statistical analysis of the square ratio of two multivariate exponentially correlated α-μ distributions and its application in telecommunications

Gradimir V. Milovanović, Mihajlo Č Stefanović, Stefan R. Panić, Jelena A. Anastasov, Dragana S. Krstić

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2 Citations (Scopus)


In this paper the exact probability density function of a multivariate α-μ distributed variables with exponentially correlated random variables is derived. Capitalizing on this the joint probability density function (JPDF) is derived for the square ratios of two multivariate exponentially correlated α-μ distributed variables. Closed form expressions are determined for the cumulative distribution function (CDF) and probability density function (PDF) of the maximal and minimal square ratio of two multivariate exponentially correlated α-μ distributions. Using these new formulae, SIR (signal-to-interference) based analysis of selection combining (SC) receiver through standard communication system performance measures can be performed.

Original languageEnglish
Pages (from-to)152-159
Number of pages8
JournalMathematical and Computer Modelling
Issue number1-2
Publication statusPublished - 1 Jul 2011
Externally publishedYes



  • Maximal and minimal square ratios
  • Multivariate distribution
  • SIR based SC diversity
  • Square ratios of exponentially correlated variables

ASJC Scopus subject areas

  • Modelling and Simulation
  • Computer Science Applications

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