A lower bound on the probability that a binomial random variable is exceeding its mean
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DOI: 10.1016/j.spl.2016.08.016
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References listed on IDEAS
- Berend, Daniel & Kontorovich, Aryeh, 2013. "A sharp estimate of the binomial mean absolute deviation with applications," Statistics & Probability Letters, Elsevier, vol. 83(4), pages 1254-1259.
- Greenberg, Spencer & Mohri, Mehryar, 2014. "Tight lower bound on the probability of a binomial exceeding its expectation," Statistics & Probability Letters, Elsevier, vol. 86(C), pages 91-98.
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Cited by:
- Li, Fu-Bo & Xu, Kun & Hu, Ze-Chun, 2023. "A study on the Poisson, geometric and Pascal distributions motivated by Chvátal’s conjecture," Statistics & Probability Letters, Elsevier, vol. 200(C).
- Idir Arab & Paulo Eduardo Oliveira & Tilo Wiklund, 2021. "Convex transform order of Beta distributions with some consequences," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 75(3), pages 238-256, August.
- Barabesi, Lucio & Pratelli, Luca & Rigo, Pietro, 2023. "On the Chvátal–Janson conjecture," Statistics & Probability Letters, Elsevier, vol. 194(C).
- Doerr, Benjamin, 2018. "An elementary analysis of the probability that a binomial random variable exceeds its expectation," Statistics & Probability Letters, Elsevier, vol. 139(C), pages 67-74.
- Janson, Svante, 2021. "On the probability that a binomial variable is at most its expectation," Statistics & Probability Letters, Elsevier, vol. 171(C).
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Keywords
Lower bounds; Binomial tail; Mean absolute deviation; Tail conditional expectation; Hazard rate order;All these keywords.
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