This article is cited in 2 papers

On the law of large numbers for nonlinear mean random variables

V. L. Khatskevich

Military educational scientific center Air force "Air force academy named after N.E. Zhukovsky and Y.U. Gagarin", 54 a old Bolsheviks str., Voronezh, 394064 Russia

Abstract: We consider variants of the law of large numbers with respect to the average power, average geometric and mean harmonic systems of random variables and estabilihs various forms of convergence of the indicated means to the limiting values.

Keywords: random variables, nonlinear averages, the law of large numbers.

UDC: 519.244

Received: 27.06.2018
Revised: 27.06.2018
Accepted: 19.12.2018

DOI: 10.26907/0021-3446-2019-8-79-87

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2019, 63:8, 70–77

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