Timeline for Expected value of sin(X) for Gamma r.v. X in closed form (approximation is fine)
Current License: CC BY-SA 4.0
12 events
| when toggle format | what | by | license | comment | |
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| Nov 17, 2018 at 20:12 | comment | added | Yemon Choi | This seems a perfectly legitimate question for this site, unless one believes approximation theory and error analysis are somehow not "mathematical research" | |
| Nov 13, 2018 at 12:05 | review | Close votes | |||
| Nov 17, 2018 at 20:12 | |||||
| Nov 13, 2018 at 11:35 | review | First posts | |||
| Nov 13, 2018 at 11:45 | |||||
| Oct 28, 2018 at 10:04 | history | edited | YCor |
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| Oct 18, 2018 at 10:29 | vote | accept | Todor Markov | ||
| Oct 18, 2018 at 2:11 | comment | added | Michael Hardy | I would first try writing $(\sin x) e^{-x/\beta}$ as $\operatorname{Im} \left( e^{-x/\beta + ix} \right). \qquad$ | |
| Oct 18, 2018 at 2:05 | comment | added | Michael Hardy | It seems that sometimes $X\sim\operatorname{Gamma}(\alpha,\beta)$ means $$ \Pr(X\in S) = \frac 1 {\Gamma(\alpha)} \int_S \left( \frac x \beta \right) e^{-x/\beta} \, \left( \frac{dx} \beta\right) \quad \text{for } S\subseteq [0,+\infty) $$ and sometimes it means $$ \Pr(X\in S) = \frac 1 {\Gamma(\alpha)} \int_S (\beta x) e^{-\beta x} (\beta\,dx) \quad \text{for } S\subseteq[0,+\infty). $$ To say which you have in mind might be convenient. $\qquad$ | |
| Oct 18, 2018 at 1:57 | history | edited | Michael Hardy | CC BY-SA 4.0 |
added 16 characters in body
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| Oct 17, 2018 at 16:45 | review | Close votes | |||
| Oct 29, 2018 at 18:21 | |||||
| Oct 17, 2018 at 16:27 | comment | added | M. Dus | MathOverflow is for mathematicians to ask each other questions about their research. See Math.StackExchange to ask general questions in mathematics. | |
| Oct 17, 2018 at 16:18 | answer | added | Marcus M | timeline score: 6 | |
| Oct 17, 2018 at 15:27 | history | asked | Todor Markov | CC BY-SA 4.0 |