Timeline for My hypothesis about convergence of series of independent random variable I cannot prove/disprove
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
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| Sep 6, 2020 at 4:32 | comment | added | user44143 | A simple counterexample: $X_i=Y_i=N(1,3^i)$ | |
| Sep 5, 2020 at 22:20 | review | Close votes | |||
| Sep 10, 2020 at 3:04 | |||||
| Sep 5, 2020 at 22:01 | history | edited | YCor | CC BY-SA 4.0 |
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| Sep 5, 2020 at 21:44 | comment | added | fedja | "Almost surely" - definitely not: Just take $X_i$ and $Y_i$ independent Gaussians with mean zero (shift the expectations a tiny bit to have the second ratio well-defined if $0/0$ bothers you) and the same variance. Then the ratios for very different $n$ are almost independent but the distribution is all the way the same (that of the ratio of 2 standard Gaussians) and not that of a constant. | |
| Sep 5, 2020 at 21:34 | history | edited | Ledog | CC BY-SA 4.0 |
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| Sep 5, 2020 at 21:25 | history | edited | Ledog | CC BY-SA 4.0 |
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| Sep 5, 2020 at 21:21 | review | First posts | |||
| Sep 6, 2020 at 1:17 | |||||
| Sep 5, 2020 at 21:20 | history | asked | Ledog | CC BY-SA 4.0 |