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Comparison of two treatments and inconsistency of bootstrap

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  • Kawai, Keiichi

Abstract

This paper derives the sharp pointwise bounds of the distribution function of the difference of two treatments' outcomes. The asymptotic distributions of the consistent estimators are discontinuous at nuisance parameters due to two reasons, which make bootstrap estimations inconsistent.

Suggested Citation

  • Kawai, Keiichi, 2009. "Comparison of two treatments and inconsistency of bootstrap," Economics Letters, Elsevier, vol. 104(2), pages 96-98, August.
    • Handle: RePEc:eee:ecolet:v:104:y:2009:i:2:p:96-98
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    References listed on IDEAS

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    1. Donald W. K. Andrews, 2000. "Inconsistency of the Bootstrap when a Parameter Is on the Boundary of the Parameter Space," Econometrica, Econometric Society, vol. 68(2), pages 399-406, March.
    2. Horowitz, Joel L., 2001. "The Bootstrap," Handbook of Econometrics, in: J.J. Heckman & E.E. Leamer (ed.), Handbook of Econometrics, edition 1, volume 5, chapter 52, pages 3159-3228, Elsevier.
    3. Fan, Yanqin & Park, Sang Soo, 2010. "Sharp Bounds On The Distribution Of Treatment Effects And Their Statistical Inference," Econometric Theory, Cambridge University Press, vol. 26(3), pages 931-951, June.
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