Timeline for Weak Borell-TIS inequality for a subgaussian process
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| May 8 at 18:32 | vote | accept | ssss nnnn | ||
| May 8 at 18:27 | comment | added | ssss nnnn | Well, this example really works, moreover, the additional assumption that $\mathbb{E} (\sup_{t\in T} X(t))_+<\infty$ does not help, we could as well choose $U$ with $\mathbb{P}\{U>u\}=u^{-2},u>1$. | |
| May 8 at 17:27 | comment | added | Iosif Pinelis | @ssssnnnn : Generally, qualitative assumptions (such as almost sure boundedness) can hardly help one to get quantitative conclusions. | |
| May 8 at 17:08 | comment | added | Iosif Pinelis | @ssssnnnn : This does not help -- see the modified example. | |
| May 8 at 17:05 | history | edited | Iosif Pinelis | CC BY-SA 4.0 |
added 305 characters in body
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| May 8 at 16:19 | comment | added | ssss nnnn | But this process $X(t)$ is not almost surely bounded from above, while in the formulation it is written that $X(t)$ is bounded from above, that is, $\sup_{t \in T} X(t) < \infty$. I will write this in the question more explicitly for clarity. | |
| May 8 at 16:08 | history | answered | Iosif Pinelis | CC BY-SA 4.0 |