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math.ST updates on arXiv.org

What is Learnable in Valiant's Theory of the Learnable? 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Double-bootstrap methods that use a single double-bootstrap simulation
Jinyuan Chang, Peter Hall · 2014-08-27 · via math.ST updates on arXiv.org

We show that, when the double bootstrap is used to improve performance of bootstrap methods for bias correction, techniques based on using a single double-bootstrap sample for each single-bootstrap sample can be particularly effective. In particular, they produce third-order accuracy for much less computational expense than is required by conventional double-bootstrap methods. However, this improved level of performance is not available for the single double-bootstrap methods that have been suggested to construct confidence intervals or distribution estimators.

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