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On the Number of Bootstrap Repetitions for BC_a Confidence Intervals

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This paper considers the problem of choosing the number bootstrap repetitions B to use with the BC_{a} bootstrap confidence intervals introduced by Efron (1987). Because the simulated random variables are ancillary, we seek a choice of B that yields a confidence interval that is close to the ideal bootstrap confidence interval for which B = infinity. We specifiy a three-step method of choosing B that ensures that the lower and upper lengths of the confidence interval deviate from those of the ideal bootstrap confidence interval by at most a small percentage with high probability.

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  • Donald W.K. Andrews & Moshe Y. Buchinsky, 2000. "On the Number of Bootstrap Repetitions for BC_a Confidence Intervals," Cowles Foundation Discussion Papers 1250, Cowles Foundation for Research in Economics, Yale University.
    • Handle: RePEc:cwl:cwldpp:1250
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    1. Diane L. Evans & Lawrence M. Leemis & John H. Drew, 2006. "The Distribution of Order Statistics for Discrete Random Variables with Applications to Bootstrapping," INFORMS Journal on Computing, INFORMS, vol. 18(1), pages 19-30, February.
    2. Baghli, Mustapha & Cahn, Christophe & Fraisse, Henri, 2007. "Is the inflation-output Nexus asymmetric in the Euro area?," Economics Letters, Elsevier, vol. 94(1), pages 1-6, January.
    3. Streukens, Sandra & Leroi-Werelds, Sara, 2016. "Bootstrapping and PLS-SEM: A step-by-step guide to get more out of your bootstrap results," European Management Journal, Elsevier, vol. 34(6), pages 618-632.
    4. Guastella, G. & Moro, D. & Sckokai, P. & Veneziani, M., 2013. "CAP Effects on Agricultural Investment Demand in Europe," 2013: Productivity and Its Impacts on Global Trade, June 2-4, 2013. Seville, Spain 152256, International Agricultural Trade Research Consortium.
    5. Guastella, Giovanni & Moro, Daniele & Sckokai, Paolo & Veneziani, Mario, 2013. "Investment behaviour of EU arable crop farms in selected EU countries and the impact of policy reforms," Working papers 152083, Factor Markets, Centre for European Policy Studies.
    6. Andrews, Donald W. K. & Buchinsky, Moshe, 2001. "Evaluation of a three-step method for choosing the number of bootstrap repetitions," Journal of Econometrics, Elsevier, vol. 103(1-2), pages 345-386, July.
    7. Dimitris Gavalas & Theodore Syriopoulos, 2014. "Bank Credit Risk Management and Rating Migration Analysis on the Business Cycle," IJFS, MDPI, vol. 2(1), pages 1-22, March.
    8. Dreßler, Daniel, 2012. "Form follows function? Evidence on tax savings by multinational holding structures," ZEW Discussion Papers 12-057, ZEW - Leibniz Centre for European Economic Research.
    9. Qi Li & Jeffrey Scott Racine, 2006. "Nonparametric Econometrics: Theory and Practice," Economics Books, Princeton University Press, edition 1, volume 1, number 8355.

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