小瓢虫传媒

Robust sample average approximation with small sample sizes

Eddie Anderson, The University of Sydney

听We consider solving stochastic optimization problems in which we seek to minimize the expected value of an objective function with respect to an unknown distribution of random parameters. Our focus is on models that use sample average approximation (SAA) with small sample sizes. We analyse the out-of-sample performance of solutions obtained by solving a robust version of the SAA problem, and derive conditions under which these solutions are improved in comparison with SAA. We analyse three di搂erent mechanisms for constructing a robust solution: a CVaR-based risk measure, phi-divergence using total variation, and a Wasserstein metric.听