2018•IEEE Wireless Communications LettersRequires access

Accurate Closed-Form Approximations for the Sum of Correlated Weibull Random Variables

Faissal El Bouanani, Daniel Benevides da Costa

Abstract

In this letter, a highly accurate approximate approach for the sum of arbitrary correlated Weibull random variables is proposed. Specifically, closed-form approximate expressions for the probability density function, cumulative distribution function, and moment generating function are derived, and their accuracies are corroborated through Monte Carlo simulations for several representative examples.

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Key concepts: Moment-generating function, Cumulative distribution function, Weibull distribution, Probability density function, Monte Carlo method, Random variable, Mathematics, Moment (physics)