Article PDF
References
Heyde, C.C.: Some properties of metrics in a study on convergence to normality. Z. Wahrscheinlichkeitstheorie verw. Gebiete 11, 181–192 (1969)
Komlós, J., Major, P., Tusnády, G.: An approximation of Partial Sums of Independent RV's and the Sample D.F. (II). Z. Wahrscheinlichkeitstheorie verw. Gebiete 34, 33–58 (1976)
Major, P.: The approximation of partial sums of independent RV's. Z. Wahrscheinlichkeitstheorie verw. Gebiete 35, 213–220 (1976)
Loève, M.: Probability Theory. Toronto-New York-London: Van Nostrand 1963
Strassen, V.: An invariance principle for the law of iterated logarithm. Z. Wahrscheinlichkeitstheorie verw. Gebiete 3, 211–226 (1964)
Wichura, M.J.: Inequalities with application to weak convergence of random processes with multi-dimensional time parameters. Ann. Math. Statist. 40, 681–687 (1969)
Wichura, M.J.: Some Strassen type laws of the iterated logarithm for multiparameter stochastic processes. Ann. Probab. 1, 272–296 (1973)
Author information
Authors and Affiliations
Additional information
The author would like to thank Mr. Tusnády for many useful discussions.
Rights and permissions
About this article
Cite this article
Major, P. Approximation of partial sums of i.i.d.r.v.s when the summands have only two moments. Z. Wahrscheinlichkeitstheorie verw Gebiete 35, 221–229 (1976). https://doi.org/10.1007/BF00532674
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00532674