Timeline for Distribution of $\sqrt{X^2+Y^2}$ when $X$ and $Y$ are Cauchy
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Feb 10, 2021 at 21:53 | vote | accept | FusRoDah | ||
| Feb 10, 2021 at 20:35 | answer | added | Robert Israel | timeline score: 0 | |
| Feb 10, 2021 at 20:32 | comment | added | Mateusz Kwaśnicki | I suppose the denominator should be $1+r^2+(r^2 \sin \theta \cos \theta)^2$, the square is missing. Is this the source of the error? | |
| Feb 10, 2021 at 20:05 | comment | added | Dieter Kadelka | Are you sure that the integral is correctly evaluated? I inserted $r=1$ and got with sage $4*((880*sqrt(15) - 3409)*sqrt(-8*sqrt(15) + 31) - 6464*sqrt(15) + 25036)/(16*pi*(624*sqrt(15) - 2417)*sqrt(-8*sqrt(15) + 31) - pi*(80408*sqrt(15) - 311423))$ for $P(1)$, which is different from your value. | |
| Feb 10, 2021 at 19:30 | history | asked | FusRoDah | CC BY-SA 4.0 |