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JOURNALS // Matematicheskie Zametki // Archive
Mat. Zametki, 1971 Volume 10, Issue 2, Pages 187–194 (Mi mzm9703)
A lemma due to Bernshtein for sums of dependent random variables

M. N. Marushin

Kiev Institute of Civil-Aviation Engineering

Abstract: Sums of arbitrarily dependent random variables are investigated, and a lemma due to Bernshtein concerning the normal-distribution limit theorem is proved for such sums.

UDC: 519.2

Received: 08.04.1970


 English version: Mathematical Notes, 1971, 10:2, 535–539

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