A Note on the Sum of Correlated Gamma Random Variables

Computer Science – Information Theory

Scientific paper

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Scientific paper

The sum of correlated gamma random variables appears in the analysis of many
wireless communications systems, e.g. in systems under Nakagami-m fading. In
this Letter we obtain exact expressions for the probability density function
(PDF) and the cumulative distribution function (CDF) of the sum of arbitrarily
correlated gamma variables in terms of certain Lauricella functions.

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