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Computational Advances in Prediction, Estimation, and Inference

The Automatic Construction of Bootstrap Confidence Intervals

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Pages 608-619 | Received 08 Nov 2018, Accepted 20 Dec 2019, Published online: 12 Mar 2020

References

  • Barndorff-Nielsen, O. (1983), “On a Formula for the Distribution of the Maximum Likelihood Estimator,” Biometrika, 70, 343–365. DOI: 10.1093/biomet/70.2.343.
  • Barndorff-Nielsen, O. E., and Cox, D. R. (1994), Inference and Asymptotics, Monographs on Statistics and Applied Probability (Vol. 52), London: Chapman & Hall.
  • DiCiccio, T., and Efron, B. (1992), “More Accurate Confidence Intervals in Exponential Families,” Biometrika, 79, 231–245. DOI: 10.1093/biomet/79.2.231.
  • ——— (1996), “Bootstrap Confidence Intervals,” Statistical Science, 11, 189–228.
  • DiCiccio, T. J., and Young, G. A. (2008), “Conditional Properties of Unconditional Parametric Bootstrap Procedures for Inference in Exponential Families,” Biometrika, 95, 747–758. DOI: 10.1093/biomet/asn011.
  • Efron, B. (1987), “Better Bootstrap Confidence Intervals” (with comments and a rejoinder by the author), Journal of the American Statistical Association, 82, 171–200. DOI: 10.1080/01621459.1987.10478410.
  • ——— (2004), “The Estimation of Prediction Error: Covariance Penalties and Cross-Validation” (with comments and a rejoinder by the author), Journal of the American Statistical Association, 99, 619–642.
  • ——— (2014), “Estimation and Accuracy After Model Selection,” Journal of the American Statistical Association, 109, 991–1007.
  • Efron, B., and Hastie, T. (2016), Computer Age Statistical Inference: Algorithms, Evidence, and Data Science, Institute of Mathematical Statistics Monographs (Book 5), Cambridge: Cambridge University Press.
  • Hall, P. (1988), “Theoretical Comparison of Bootstrap Confidence Intervals” (with a discussion and a reply by the author), The Annals of Statistics, 16, 927–985. DOI: 10.1214/aos/1176350933.
  • ——— (1992), The Bootstrap and Edgeworth Expansion, Springer Series in Statistics, New York: Springer-Verlag.
  • Pierce, D. A., and Bellio, R. (2017), “Modern Likelihood-Frequentist Inference,” International Statistical Review, 85, 519–541. DOI: 10.1111/insr.12232.
  • Skovgaard, I. M. (1985), “Large Deviation Approximations for Maximum Likelihood Estimators,” Probability and Mathematical Statistics, 6, 89–107.
  • Xie, M., and Singh, K. (2013), “Confidence Distribution, the Frequentist Distribution Estimator of a Parameter: A Review” (with discussion), International Statistical Review, 81, 3–39. DOI: 10.1111/insr.12000.

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