Timeline for Bounding tail density of products of random variables
Current License: CC BY-SA 4.0
11 events
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| Nov 23, 2021 at 15:33 | comment | added | Iosif Pinelis | @MathsIsFun : I don't think that there is a theory on whether the asymptotic expression is actually an upper bound. Such an upper bound would probably be much harder to get than the asymptotic expression. | |
| Nov 23, 2021 at 15:01 | comment | added | user3403039 | Thank you very much for the detailed explanation, it took me a while to work through it. In particular the link to Laplace's Method was very helpful, as I have no background in asymptotic analysis. Do you know if there is theory on whether the asymptotic expression is actually an upper bound for the density for some $u \geq \phi(m,n)$? It would seem so from the graph you plotted. | |
| Nov 23, 2021 at 14:58 | vote | accept | user3403039 | ||
| Nov 22, 2021 at 20:44 | history | edited | Iosif Pinelis | CC BY-SA 4.0 |
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| Nov 22, 2021 at 14:08 | history | edited | Iosif Pinelis | CC BY-SA 4.0 |
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| Nov 22, 2021 at 1:59 | history | edited | Iosif Pinelis | CC BY-SA 4.0 |
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| Nov 22, 2021 at 1:46 | history | edited | Iosif Pinelis | CC BY-SA 4.0 |
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| Nov 22, 2021 at 1:38 | history | edited | Iosif Pinelis | CC BY-SA 4.0 |
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| Nov 22, 2021 at 1:13 | history | edited | Iosif Pinelis | CC BY-SA 4.0 |
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| Nov 22, 2021 at 1:01 | history | edited | Iosif Pinelis | CC BY-SA 4.0 |
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| Nov 22, 2021 at 0:54 | history | answered | Iosif Pinelis | CC BY-SA 4.0 |