On convergence rates in the law of large numbers for weighted sums of independent random variables

Rohatgi, V. K.

doi:10.1090/S0002-9939-1969-0242229-4

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

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On convergence rates in the law of large numbers for weighted sums of independent random variables
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by V. K. Rohatgi

Proc. Amer. Math. Soc. 20 (1969), 570-574

DOI: https://doi.org/10.1090/S0002-9939-1969-0242229-4

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References

W. E. Franck and D. L. Hanson, Some results giving rates of convergence in the law of large numbers for weighted sums of independent random variables, Trans. Amer. Math. Soc. 124 (1966), 347–359. MR 199877, DOI 10.1090/S0002-9947-1966-0199877-1
C. C. Heyde and V. K. Rohatgi, A pair of complementary theorems on convergence rates in the law of large numbers, Proc. Cambridge Philos. Soc. 63 (1967), 73–82. MR 205309, DOI 10.1017/s0305004100040901