Timeline for Characterization of random variables whose tensor powers have subexponential "small-ball" probabilities
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
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| Sep 21, 2020 at 0:06 | vote | accept | dohmatob | ||
| Sep 21, 2020 at 0:05 | comment | added | dohmatob | Thanks for the update. As a side note, I didn't mention those because I thought the were examples and non-examples (Indeed, in my question, I used boundedness of density to prove that $N(0,1)$ was a member of the sought-for family). | |
| Sep 21, 2020 at 0:02 | history | edited | dohmatob | CC BY-SA 4.0 |
Missing product index
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| Sep 21, 2020 at 0:01 | comment | added | Iosif Pinelis | @dohmatob : In your question, you mentioned symmetry and subggaussianity as prospective conditions for (1). Did you also mention there (non-)atomicity of the distribution and boundedness of the density? Anyhow, I have now also added that the boundedness of the density cannot be relaxed by allowing the density to explode to $\infty$ near $0$. So, the relevant conditions are shown to be in terms of boundedness of the density. | |
| Sep 20, 2020 at 23:53 | history | edited | Iosif Pinelis | CC BY-SA 4.0 |
added 420 characters in body
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| Sep 20, 2020 at 22:22 | comment | added | dohmatob | Thanks for the input. I was hoping there would be broad classes distributions strictly between atomic and bounded density, which satisfy the conditions. | |
| Sep 20, 2020 at 22:08 | history | answered | Iosif Pinelis | CC BY-SA 4.0 |