Klesov, O. I. On the convergence rate in a theorem of Heyde. (English. Ukrainian original) Zbl 0861.60054 Theory Probab. Math. Stat. 49, 83-87 (1994); translation from Teor. Jmovirn. Mat. Stat. 49, 119-125 (1993). Summary: A series connected with the complete convergence in the law of large numbers is considered. The convergence rate in a theorem of Heyde is studied. It is proved that the asymptotics over a small parameter may be improved provided that the third moment exists. Cited in 6 ReviewsCited in 9 Documents MSC: 60G50 Sums of independent random variables; random walks 60F10 Large deviations Keywords:complete convergence; law of large numbers; convergence rate PDFBibTeX XMLCite \textit{O. I. Klesov}, Theory Probab. Math. Stat. 49, 1 (1993; Zbl 0861.60054); translation from Teor. Jmovirn. Mat. Stat. 49, 119--125 (1993)