Timeline for Feller processes / probability generators
Current License: CC BY-SA 3.0
3 events
| when toggle format | what | by | license | comment | |
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| Aug 20, 2016 at 23:08 | comment | added | Stockfish | But I don't think your last condition is enough. If f''' is strictly positive everywhere, then af''' is, too, and inf f will always be bigger than inf f-af'''. | |
| Aug 20, 2016 at 22:58 | comment | added | Stockfish | Thank you for your effort! In the first example f-f''' takes negative values somewhere around -0.7 and 0.5 (see wolframalpha.com/input/?i=e%5E(−1%2Fx%5E2)%2F(x%5E10)(−8x%2B36x%5E3−24x%5E5%2Bx%5E10)) but it should be fine if one chooses a small enough. In the second example I don't know why you get this term, see wolframalpha.com/input/?i=d%5E3%2Fdx%5E3+exp(-1%2F(1%2Bx%5E2)). Anyway, I found f(x) = -(x+1)^2 *exp(-x^2) which has minimum approx. -1,786856 whereas f-0.001*f''' has minimum approx. -1,785314 > inf f. | |
| Dec 28, 2015 at 19:42 | history | answered | Mark Fischler | CC BY-SA 3.0 |