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On the Central Limit Theorem along Subsequences of Noncorrelated Observations

✍ Scribed by Bobkov, S. G.; Götze, F.


Book ID
118219710
Publisher
Society for Industrial and Applied Mathematics
Year
2004
Tongue
English
Weight
215 KB
Volume
48
Category
Article
ISSN
0040-585X

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On strong versions of the central limit
✍ Zdzisław Rychlik; Konrad S. Szuster 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 161 KB

The purpose of this paper is to present strong versions of the central limit theorem for independent nonidentically distributed random variables. Let S n , n ¿ 1, be the partial sums of independent random variables with zero means and ÿnite variances and let a(x) be a real function. We present su ci