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A Glivenko-Cantelli theorem for exchangeable random variables

Author

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  • Berti, Patrizia
  • Rigo, Pietro

Abstract

For an exchangeable sequence of random variables, almost surely, the difference between the empirical and the predictive distribution functions converges to zero uniformly.

Suggested Citation

  • Berti, Patrizia & Rigo, Pietro, 1997. "A Glivenko-Cantelli theorem for exchangeable random variables," Statistics & Probability Letters, Elsevier, vol. 32(4), pages 385-391, April.
    • Handle: RePEc:eee:stapro:v:32:y:1997:i:4:p:385-391
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    Cited by:

    1. Alonso Ruiz, Patricia & Rakitko, Alexander, 2016. "The limit theorem for maximum of partial sums of exchangeable random variables," Statistics & Probability Letters, Elsevier, vol. 119(C), pages 357-362.
    2. Berti, Patrizia & Rigo, Pietro, 2002. "A uniform limit theorem for predictive distributions," Statistics & Probability Letters, Elsevier, vol. 56(2), pages 113-120, January.

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