A study on the F-distribution motivated by Chvátal's theorem

2024/09/14 by Qianqian Zhou, Peng Lü, Zhou, Qianqian +3
Decision Sciences · #Probability and Risk Models

paper · pdf · doi:10.48550/arxiv.2409.09420

Abstract

Let X_{d1, d2} be an F-random variable with parameters d₁ and d₂, and expectation E[X_{d1, d2}]. In this paper, for any κ>0, we investigate the infimum value of the probability P(X_{d1, d2}≤ κE[X_{d1, d2}]). Our motivation comes from Chvátal's theorem on the binomial distribution.

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