## A remark on the tail probability of a distribution.(English)Zbl 0376.60033

### MSC:

 60F15 Strong limit theorems 60E05 Probability distributions: general theory 60F05 Central limit and other weak theorems 60G50 Sums of independent random variables; random walks
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### References:

 [1] Chen, R., On the fructuations of sums of random variables, (), preprint, submitted to the [2] Cramér, H., (), Princeton Math. Ser. [3] Erdös, P., On a theorem of hsu and robbins, Ann. math. statist., 20, 286-291, (1949) · Zbl 0033.29001 [4] Fuk, D.Kh.; Nagaev, S.V., Probability inequalities for sums of independent random variables, Theory of probability and its applications, 16, 643-660, (1971) · Zbl 0259.60024 [5] Katz, M.L., The probability in the tail of a distribution, Ann. math. statist., 34, 312-318, (1963) · Zbl 0209.49503 [6] Rao, C.R., () [7] Robbins, H.; Siegmund, D.; Wendel, J., The limiting distribution of the last time SSn ≥nϵ, (), 1228-1230 · Zbl 0254.60032 [8] Slivka, J.; Severo, N.C., On the strong law of large numbers, (), 729-734 · Zbl 0205.45302
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