Asymptotic theory for solutions in statistical estimation and stochastic programming
Mathematics of Operations Research
A branch and bound method for stochastic global optimization
Mathematical Programming: Series A and B
Mathematical Programming: Series A and B
Assessing solution quality in stochastic programs
Mathematical Programming: Series A and B
Monte Carlo bounding techniques for determining solution quality in stochastic programs
Operations Research Letters
The impact of sampling methods on bias and variance in stochastic linear programs
Computational Optimization and Applications
A combined deterministic and sampling-based sequential bounding method for stochastic programming
Proceedings of the Winter Simulation Conference
Overlapping batches for the assessment of solution quality in stochastic programs
Proceedings of the Winter Simulation Conference
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We use jackknife-based estimators to reduce bias when estimating the optimal value of a stochastic program. Our discussion focuses on an asset allocation model with a power utility function. As we will describe, estimating the optimal value of such a problem plays a key role in establishing the quality of a candidate solution, and reducing bias improves our ability to do so efficiently. We develop a jackknife estimator that is adaptive in that it does not assume the order of the bias is known a priori.