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A Glivenko-Cantelli theorem for exchangeable random variables

✍ Scribed by Patrizia Berti; Pietro Rigo


Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
318 KB
Volume
32
Category
Article
ISSN
0167-7152

No coin nor oath required. For personal study only.

✦ Synopsis


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


📜 SIMILAR VOLUMES


Empirical central limit theorems for exc
✍ Xinxin Jiang; Marjorie G. Hahn 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 102 KB

This paper provides an empirical central limit theorem (CLT) for exchangeable random variables when the norming constants in the regular CLT are √ nh(n) with h(n) a slowly varying function. The situation with norming constants of the form nh(n) is also discussed.