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- W2912169188 abstract "Abstract Upper bounds are derived for the probability that the sum S of n independent random variables exceeds its mean ES by a positive number nt. It is assumed that the range of each summand of S is bounded or bounded above. The bounds for Pr {S – ES ≥ nt} depend only on the endpoints of the ranges of the summands and the mean, or the mean and the variance of S. These results are then used to obtain analogous inequalities for certain sums of dependent random variables such as U statistics and the sum of a random sample without replacement from a finite population." @default.
- W2912169188 created "2019-02-21" @default.
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- W2912169188 date "2014-09-29" @default.
- W2912169188 modified "2023-09-23" @default.
- W2912169188 title "Probability Inequalities for Sums of Bounded Random Variables" @default.
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- W2912169188 doi "https://doi.org/10.1002/9781118445112.stat02980" @default.
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