Rozovskij, L. V. Estimates of the rate of convergence in the strong law of large numbers. (Russian) Zbl 0569.60027 Mat. Zametki 34, No. 6, 883-896 (1983). Let \(x_ 1,x_ 2,..\). be a sequence of independent random variables, \(S_ n=x_ 1+...+x_ n\), \(F_ k(x)=P\{x_ k<x\}\), \(k=1,2,... \). The rate of convergence to zero of the probability \(P\{\) \(\sup_{k\geq n}| S_ k/b_ k-A_ k| >\epsilon \}\) with \(n\to \infty\) is studied, where \(\epsilon >0\), \(A_ n=b_ n^{- 1}\sum^{n}_{k=1}\int^{b_ n}_{-b_ n}xdF_ k(x)\) and \(b_ n's\) are constants. Several theorems are proved where the estimators of such convergence rates are given. Reviewer: I.Bokuchava Cited in 1 Document MSC: 60F15 Strong limit theorems Keywords:rate of convergence PDFBibTeX XMLCite \textit{L. V. Rozovskij}, Mat. Zametki 34, No. 6, 883--896 (1983; Zbl 0569.60027)