Subadditivity of the distribution of 1/X is sufficient for X to be stochastically dominated by any convex combination of its independent copies.
Journal of Political Economy 128, 1877–1900
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Convex combinations of random variables stochastically dominate the parent for a new class of heavy-tailed distributions
Subadditivity of the distribution of 1/X is sufficient for X to be stochastically dominated by any convex combination of its independent copies.