2 citations · 5 across the 9 of their papers we have counts for
9 papers · 1 filter
Favorite sites of one-dimensional transient random walk
Zechun Hu, Renming Song, Guangshuo Zhou +1
In this paper, we study favorite sites of one-dimensional transient random walk on beyond the simple case. Denote by the set of favorite sites at time…
Some New Results on Gaussian Product Inequalities
Qian-Qian Zhou, Han Zhao, Ze-Chun Hu +1
The long-standing Gaussian product inequality (GPI) conjecture states that, for any centered -valued Gaussian random vector and any positive reals…
The infimum values of the probability functions for some infinitely divisible distributions motivated by Chvátal's theorem
Ze-Chun Hu, Peng Lu, Qian-Qian Zhou +1
Let denote a binomial random variable with parameters and . Chvátal's theorem says that for any fixed , as ranges over , the probabilit…
A study on the Weibull and Pareto distributions motivated by Chvátal's theorem
Cheng Li, Ze-Chun Hu, Qian-Qian Zhou
Let denote a binomial random variable with parameters and . Chvátal's theorem says that for any fixed , as ranges over , the probabilit…
Exponential bounds of ruin probabilities for non-homogeneous risk models
Qianqian Zhou, Alexander Sakhanenko, Junyi Guo
Lundberg-type inequalities for ruin probabilities of non-homogeneous risk models are presented in this paper. By employing martingale method, the upper bounds of ruin probabilities…
Prokhorov distance with rates of convergence under sublinear expectations
Qianqian Zhou, Alexander Sakhanenko, Junyi Guo
Prokhorov distances under sublinear expectations are presented in CLT and functional CLT, and the convergence rates for them are obtained by Lindeberg method. In particular, the ob…
Lundberg-type inequalities for non-homogeneous risk models
Qianqian Zhou, Alexander Sakhanenko, Junyi Guo
In this paper, we investigate the ruin probabilities of non-homogeneous risk models. By employing martingale method, the Lundberg-type inequalities of ruin probabilities of non-hom…
A Note on Uniform Integrability of Random Variables in a Probability Space and Sublinear Expectation Space
Ze-Chun Hu, Qian-Qian Zhou
In this note we discuss uniform integrability of random variables. In a probability space, we introduce two new notions on uniform integrability of random variables, and prove that…
Convergences of Random Variables under Sublinear Expectations
Ze-Chun Hu, Qian-Qian Zhou
In this note, we will survey the existing convergence results for random variables under sublinear expectations, and prove some new results. Concretely, under the assumption that t…