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Activity Number: 558
Type: Contributed
Date/Time: Wednesday, August 6, 2014 : 2:00 PM to 3:50 PM
Sponsor: IMS
Abstract #311209
Title: Double-Bootstrap Methods That Use a Single Double-Bootstrap Simulation
Author(s): Jinyuan Chang*+ and Peter Hall
Companies: and University of Melbourne
Keywords: Bias correction ; bias estimation ; confidence intervals ; distribution estimation ; Edgeworth expansion ; second-order correctness
Abstract:

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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