Rate of convergence in the law of large numbers with momental constraints

L. Baum and M. Katz, “Convergence rates in the law of large numbers,” Trans. Amer. Math. Soc.,120, No. 1, 108–123 (1965).Google Scholar

P. Erdös, “On a theorem of Hsu and Robbins,” Ann. Math. Statist.,20, No. 2, 286–291 (1949).Google Scholar

I. A. Ibragimov and Yu. V. Linnik, Independent and Stationarily Connected Variables [in Russian], Izd. Nauka, Moscow (1965).Google Scholar

C. C. Heyde and V. K. Rohatgi, “A pair of complementary theorems on convergence rates in the law of large numbers,” Proc. Camb. Phil. Soc.,63, No. 1, 73–82 (1967).Google Scholar

G. M. Fikhtengol'ts, Course of Differential and Integral Calculus [in Russian], Vol. 2, Izd. Nauka, Moscow (1966).Google Scholar

V. V. Petrov, “Estimates in the weak law of large numbers,” Matem. Zametki,12, No. 5, 639–642 (1972).Google Scholar

M. Loeve, Probability Theory, Van Nostrand (1963).Google Scholar