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The central limit theorem for U-processes indexed by Hölder's functions

✍ Scribed by Miguel A. Arcones


Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
330 KB
Volume
20
Category
Article
ISSN
0167-7152

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On the almost sure central limit theorem
✍ A. Krajka; J. Wasiura 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 169 KB 👁 1 views

## Abstract Let {__S~n~__, __n__ ≥ 1} be partial sums of independent identically distributed random variables. The almost sure version of CLT is generalized on the case of randomly indexed sums {__S~Nn~__, __n__ ≥ 1}, where {__N~n~__, __n__ ≥ 1} is a sequence of positive integer‐valued random varia