The mixing advantage is less than 2

Details The mixing advantage is less than 2 The mixing advantage is less than 2

2008-05-04

arxiv.org/abs/0805.0447v1

Mathematics

Probability

Scientific paper

Corresponding to $n$ independent non-negative random variables $X_1,...,X_n$, are values $M_1,...,M_n$, where each $M_i$ is the expected value of the maximum of $n$ independent copies of $X_i$. We obtain an upper bound to the expected value of the maximum of $X_1,...,X_n$ in terms of $M_1,...,M_n$. This inequality is sharp in the sense that the quantity and its bound can be made as close to each other as we want. We also present related comparison results.

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