Technical Note—The Asymptotic Extreme Value Distribution of the Sample Minimum of a Concave Function under Linear Constraints

Published Online:https://doi.org/10.1287/opre.31.4.789

We show that the minimum value of a sample of feasible points uniformly distributed over a linear constraint set is, for concave functions, asymptotically Weibull distributed with shape parameter equal to the dimension of the feasible region.

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