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Research Report SRR95-014

On The Bias Of Bootstrap Model Selection Criteria

Kee-Won Lee

Abstract: It is shown that a naive plug-in bootstrap model-selection criterion is biased downwards by an amount roughly equal to the number of parameters in the approximating model. Bootstrap methods are suggested for correcting the bias, and are shown theoretically and numerically to enjoy a high degree of accuracy. Comparison of the bootstrap method with the asymptotic method is made through an illustrative example.


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