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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2016 Volume 454, Pages 254–260 (Mi znsl6397)

This article is cited in 1 paper

Small deviation probabilities for sum of independent positive random variables, which have a common distribution, decreasing at zero not faster than a power

L. V. Rozovskyab

a St. Petersburg Chemical-Pharmaceutical Academy, St. Petersburg, Russia
b St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences, St. Petersburg, Russia

Abstract: In the note we investigate small deviation probabilities of cumulative sum of independent positive random variables, which have a common distribution, decreasing at zero not faster than a power.

Key words and phrases: small deviations, sum of independent positive random variables, slowly varying functions, regularly varying functions.

UDC: 519.2

Received: 12.09.2016


 English version:
Journal of Mathematical Sciences (New York), 2018, 229:6, 767–771

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© Steklov Math. Inst. of RAS, 2025