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Zap. Nauchn. Sem. POMI, 2015 Volume 442, Pages 118–121 (Mi znsl6247)

On relation of the growth rate between moments and semyinvariants of a higher order

L. V. Rozovsky

St. Petersburg Chemical-Pharmaceutical Academy, St. Petersburg, Russia

Abstract: The main purpose of the note is to study the conditions under which the estimates from above for the moments and semyinvariants of a random variable have a similar forms.

Key words and phrases: moment, semyinvariant, the Bernstein condition.

UDC: 519.2

Received: 12.10.2015


 English version:
Journal of Mathematical Sciences (New York), 2017, 225:5, 802–804

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© Steklov Math. Inst. of RAS, 2025