论文标题
Tracy-Widom $β$分布的随机比较
Stochastic comparisons of Tracy-Widom $β$ distributions
论文作者
论文摘要
我们通过参数$β$对Tracy-Widom分布进行随机比较和顺序。特别是,我们表明,随着$β$的增长,tracy-widom随机变量变得较小,使模量较小。
We give a stochastic comparison and ordering of the Tracy-Widom distribution with parameter $β$. In particular, we show that as $β$ grows, the Tracy-Widom random variables get smaller modulo a multiplicative coefficient.