Technical Note—Central Limit Theorems for Estimated Functions at Estimated Points

Published Online:https://doi.org/10.1287/opre.2019.1922

We provide a simple proof of the central limit theorem (CLT) for estimated functions at estimated points. Such estimators arise in a number of different simulation-based computational settings. We illustrate the methodology via applications to quantile estimation and related sensitivity analysis, as well as to computation of conditional value-at-risk.

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