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math.PR2022
A study on the Poisson, geometric and Pascal distributions motivated by Chvátal's conjecture
Fu-Bo Li, Kun Xu, Ze-Chun Hu
Let denote a binomial random variable with parameters and . Vasěk Chvátal conjectured that for any fixed , as ranges over , the probabi…
math.PR2022★ 3 cited
Quantitative Versions of the Two-dimensional Gaussian Product Inequalities
Ze-Chun Hu, Han Zhao, Qian-Qian Zhou
The Gaussian product inequality (GPI) conjecture is one of the most famous inequalities associated with Gaussian distributions and has attracted a lot of concerns. In this note, we…
math.PR2022
Favorite Downcrossing Sites of One-Dimensional Simple Random Walk
Chen-Xu Hao, Ze-Chun Hu, Ting Ma +1
Random walk is a very important Markov process and has important applications in many fields.For a one-dimensional simple symmetric random walk , a site is called a favo…