A Binomial Tail Inequality for Successes
7 Pages Posted: 24 Oct 2017
Date Written: October 23, 2017
I provide a monotonicity result on binomial tail probabilities in terms of the number of successes. Consider two binomial processes with n trials. For any k from 1 to n-1, as long as the expected number of successes in the first process is at least n(k-1)/(n-1) and the expected number of successes in the second process is at least k/(k-1) times larger than that of the first, then the probability of k-1 or fewer successes in the first process is strictly larger than the probability of k or fewer successes in the second.
Suggested Citation: Suggested Citation
Leo, Greg, A Binomial Tail Inequality for Successes (October 23, 2017). Available at SSRN: https://ssrn.com/abstract=3057444 or http://dx.doi.org/10.2139/ssrn.3057444
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