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Some results on the convergence of conditional distributions

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  • Xiong, Shifeng
  • Li, Guoying

Abstract

A new concept of convergence concerning random probability measure is introduced in order to discuss the weak consistency of the bootstrap distribution estimator. Some results on random probabilities and conditional distributions corresponding to the classical theorems are proved. Finally we study the consistency of bootstrap distribution estimators for ordered parameters.

Suggested Citation

  • Xiong, Shifeng & Li, Guoying, 2008. "Some results on the convergence of conditional distributions," Statistics & Probability Letters, Elsevier, vol. 78(18), pages 3249-3253, December.
  • Handle: RePEc:eee:stapro:v:78:y:2008:i:18:p:3249-3253
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    References listed on IDEAS

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    1. A. E. Gelfand & J. Glaz & L. Kuo & T.‐M. Lee, 1992. "Inference for the maximum cell probability under multinomial sampling," Naval Research Logistics (NRL), John Wiley & Sons, vol. 39(1), pages 97-114, February.
    2. Bose, Arup & Chatterjee, Snigdhansu, 2001. "Generalised bootstrap in non-regular M-estimation problems," Statistics & Probability Letters, Elsevier, vol. 55(3), pages 319-328, December.
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    Cited by:

    1. Hagemann, Andreas, 2019. "Placebo inference on treatment effects when the number of clusters is small," Journal of Econometrics, Elsevier, vol. 213(1), pages 190-209.
    2. Wang, Wenjie & Kaffo, Maximilien, 2016. "Bootstrap inference for instrumental variable models with many weak instruments," Journal of Econometrics, Elsevier, vol. 192(1), pages 231-268.
    3. Eric Beutner & Alexander Heinemann & Stephan Smeekes, 2017. "A Justification of Conditional Confidence Intervals," Papers 1710.00643, arXiv.org, revised Jan 2019.
    4. Xiong, Shifeng, 2011. "An asymptotics look at the generalized inference," Journal of Multivariate Analysis, Elsevier, vol. 102(2), pages 336-348, February.
    5. Eric Beutner & Alexander Heinemann & Stephan Smeekes, 2018. "A Residual Bootstrap for Conditional Value-at-Risk," Papers 1808.09125, arXiv.org, revised Aug 2023.

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