Timeline for Is the following statement true? $E[\xi U^{'}(\xi)] < +\infty$?
Current License: CC BY-SA 3.0
6 events
when toggle format | what | by | license | comment | |
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Jun 6, 2012 at 1:40 | vote | accept | Jun | ||
Jun 5, 2012 at 22:03 | history | edited | MTS | CC BY-SA 3.0 |
Edited title
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Jun 5, 2012 at 21:20 | comment | added | Jun | Yes. If $x$ is large, there is no problem. But problem arises when $x$ goes to zero such as $\ln(x).$ | |
Jun 5, 2012 at 21:13 | answer | added | Stanislav | timeline score: 2 | |
Jun 5, 2012 at 20:45 | comment | added | Stephan Sturm | As you may assume wlog '$U(\infty)>0$', it should follow directly from the asymptotic elasicity condition (2), no? As this inequality holds for $x$ sufficiently large, you can just separate the domain of integration and use for the second part the inequality... | |
Jun 5, 2012 at 20:15 | history | asked | Jun | CC BY-SA 3.0 |