Timeline for Is there a "central distribution" for distributions for which the CLT doesn't apply?
Current License: CC BY-SA 3.0
9 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Feb 12, 2018 at 12:12 | history | tweeted | twitter.com/StackStats/status/963022904454770688 | ||
| Feb 12, 2018 at 11:34 | answer | added | Sextus Empiricus | timeline score: 2 | |
| Feb 11, 2018 at 15:20 | comment | added | Dilip Sarwate | I have no idea what you think; I can only go by what you write. A precise formulation is indeed relevant to the question, regardless of what you think; (I know what you have written about this issue). | |
| Feb 11, 2018 at 15:11 | comment | added | user56834 | @DilipSarwate, do you think that that is what I think, or that I was describing the CLT informally, since a precise formulation is not relevant to the question anyway? | |
| Feb 11, 2018 at 15:01 | comment | added | Dilip Sarwate | Your statement that the sample average will converge to "the normal distribution" is false if by "the normal distribution" you mean the standard normal distribution. The statement is continues to be false even if you say that by the normal distribution you mean a normal distribution with mean equal to $\mu$, the mean of $f$, and variance equal to the variance of $f$. The sample mean converges to the constant $\mu$, that is, a normal distribution with mean $\mu$ and variance $0$, a far cry from what you seem to think happens. | |
| Feb 10, 2018 at 17:07 | comment | added | whuber♦ | Closely related answers: stats.stackexchange.com/questions/29497 and stats.stackexchange.com/questions/8515. | |
| Feb 10, 2018 at 16:43 | comment | added | user56834 | @smith, very interesting. | |
| Feb 10, 2018 at 16:21 | comment | added | user179309 | Relevant wikipedia article. | |
| Feb 10, 2018 at 15:48 | history | asked | user56834 | CC BY-SA 3.0 |