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arxiv: 1609.02911 · v1 · pith:XMN7WIQWnew · submitted 2016-09-09 · 💻 cs.IT · math.IT

Entropy of the Sum of Two Independent, Non-Identically-Distributed Exponential Random Variables

classification 💻 cs.IT math.IT
keywords entropyconciseexponentialexpressionindependentnon-identically-distributedrandomvariables
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In this letter, we give a concise, closed-form expression for the differential entropy of the sum of two independent, non-identically-distributed exponential random variables. The derivation is straightforward, but such a concise entropy has not been previously given in the literature. The usefulness of the expression is demonstrated with examples.

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