Abstract
The aim of this note is to give estimates for the mathematical expectation of the so-celled counting random variaole appearing in the strong law of large numbers.
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References
A.A. Borovkov, Remarks on inequalities for sums of independent variables× Teor. Vepotfatnost. i Primenen. 17 (1972), 588–590.
D.H. Fuk, S.V. Nogaev, Probability inequalities for sums of independent random variables. Teor. Verojatnost. i Primenen. 16 (1971), 643–660.
P.L. Hsu, H. Robbins, Complete convergence and the low of large numbers. Proe. Nat. Acad. Sci. U.S.A. 33 (1947), 25–31.
D. Szynal, On almost complete convergence for the sum of a random number of independent random variables. Bull. Acad. Polon. Sci., Ser. Math., Astronom., Phys. 20 (1972), 571–574.
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© 1981 Springer-Verlag New York Inc.
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Szynal, D. (1981). A Remark on the Strong Law of Large Numbers for Random Indexed Sums. In: The First Pannonian Symposium on Mathematical Statistics. Lecture Notes in Statistics, vol 8. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-5934-3_25
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DOI: https://doi.org/10.1007/978-1-4612-5934-3_25
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