Timeline for expectation of log(1-x^a) if x is a beta random variable
Current License: CC BY-SA 4.0
11 events
| when toggle format | what | by | license | comment | |
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| Feb 16, 2022 at 3:11 | comment | added | Iosif Pinelis | @RylanSchaeffer : This was done by Mathematica, not me. However, this can be done by hand too, by differentiating (with respect to the second argument) both the defining expression for the beta function (en.wikipedia.org/wiki/Beta_function) and its expression in terms of the gamma function. | |
| Feb 15, 2022 at 23:44 | comment | added | Rylan Schaeffer | When $a = 1$, how does $\mathbb{E}[log (1 - x)]$ become that difference of polygamma functions? | |
| Oct 24, 2021 at 1:56 | comment | added | Iosif Pinelis | @Dalek : Do you have a further response to this answer? | |
| Oct 20, 2021 at 17:50 | history | edited | Iosif Pinelis | CC BY-SA 4.0 |
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| Oct 20, 2021 at 17:15 | comment | added | Iosif Pinelis | @Dalek : I have added the use of a Taylor expansion. | |
| Oct 20, 2021 at 17:13 | history | edited | Iosif Pinelis | CC BY-SA 4.0 |
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| Oct 20, 2021 at 17:00 | history | edited | Iosif Pinelis | CC BY-SA 4.0 |
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| Oct 20, 2021 at 16:53 | history | edited | Iosif Pinelis | CC BY-SA 4.0 |
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| Oct 20, 2021 at 16:48 | history | edited | Iosif Pinelis | CC BY-SA 4.0 |
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| Oct 20, 2021 at 16:42 | comment | added | Dalek | @losifPinelis What about some sort of Taylor expansion? | |
| Oct 20, 2021 at 16:39 | history | answered | Iosif Pinelis | CC BY-SA 4.0 |