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Refinement of the Central Limit Theorem and of Its Global Version

✍ Scribed by Studnev, Yu. P.; Ignat, Yu. I.


Book ID
118224478
Publisher
Society for Industrial and Applied Mathematics
Year
1967
Tongue
English
Weight
388 KB
Volume
12
Category
Article
ISSN
0040-585X

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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 ΒΏ 1, be the partial sums of independent random variables with zero means and ΓΏnite variances and let a(x) be a real function. We present su ci