论文标题
关于选择器过程中的talagrand的猜想，以及对积极经验过程的结果
On a conjecture of Talagrand on selector processes and a consequence on positive empirical processes
论文作者
论文摘要
对于适当的高斯流程，作为主要措施定理的必然性，米歇尔·塔拉格兰（Michel Talagrand，1987）证明，超出仪式明显大于其预期的事件可以被一组半空间量的半空间所覆盖。我们证明了Talagrand的一种猜想，这是Bernoulli- $ p $设置中这种结果的类似物，并回答了关于一般积极经验过程的类似结果的talagrand问题。
For appropriate Gaussian processes, as a corollary of the majorizing measure theorem, Michel Talagrand (1987) proved that the event that the supremum is significantly larger than its expectation can be covered by a set of half-spaces whose sum of measures is small. We prove a conjecture of Talagrand that is the analog of this result in the Bernoulli-$p$ setting, and answer a question of Talagrand on the analogous result for general positive empirical processes.
