Timeline for Showing that a sequence of random variables with increasing expected value converges to a Poisson random variable
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
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| Aug 2, 2015 at 20:39 | comment | added | Ashvin Swaminathan | The trouble with using $X_n/n$ is that the only results I know about convergence of random variables hold for integer-valued random variables. Do analogous theorems hold for the renormalized variables? | |
| Aug 1, 2015 at 12:52 | comment | added | ofer zeitouni | just work with $X_n/n$... | |
| Jul 26, 2015 at 23:39 | comment | added | Ashvin Swaminathan | I edited my post to describe what I think the random variables look like in the limit of large $n$; from the examples I am working with, I believe they have parameter $\lambda = n$, but I am not sure how one goes about proving such a claim. | |
| Jul 26, 2015 at 23:34 | history | edited | Ashvin Swaminathan | CC BY-SA 3.0 |
deleted 73 characters in body
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| Jul 26, 2015 at 23:01 | review | Close votes | |||
| Aug 23, 2015 at 3:03 | |||||
| Jul 26, 2015 at 22:44 | comment | added | Will Sawin | What do you think the random variables look like? Can you find any example of such random variables, and see what they converge to? If you think it converges to a Poisson limit, what's the parameter $\lambda$ of the limit? You should think about these things before asking this type of question. | |
| Jul 26, 2015 at 21:32 | review | First posts | |||
| Jul 26, 2015 at 21:52 | |||||
| Jul 26, 2015 at 21:29 | history | asked | Ashvin Swaminathan | CC BY-SA 3.0 |