Timeline for Does a subset with small cardinality represent the whole set?
Current License: CC BY-SA 4.0
14 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jul 9, 2023 at 11:45 | vote | accept | Math_Y | ||
| Jul 7, 2023 at 19:16 | comment | added | Iosif Pinelis | @MichaelHardy : In general parlance, "sample" may mean "specimen". In statistics, it usually means a sequence of sample points. I would be happy if terms like "sample" were totally banned on MO. In this case, I would use "$X_i$'s" instead of "samples". However, I understood this answer and, because it is Fedor Petrov's, I had no doubts as to whether he understands what he is talking about. :-) | |
| Jul 7, 2023 at 19:13 | comment | added | Fedor Petrov | @MichaelHardy you are probably correct. How should I call each $X_i$ instead? | |
| Jul 7, 2023 at 18:42 | comment | added | Michael Hardy | @IosifPinelis $\qquad\uparrow\qquad$ | |
| Jul 7, 2023 at 18:42 | comment | added | Michael Hardy | As I mentioned in comments under the question, I think you're using the word "sample" incorrectly. The whole sequence $X_1,\ldots,X_N$ is one sample, not $N$ samples. Otherwise, why would we speak of the size of a sample, or say that a bigger sample is needed, or speak of a "two-sample t-test"? | |
| Jul 7, 2023 at 14:40 | comment | added | Iosif Pinelis | Very nice! +1 ... | |
| Jul 7, 2023 at 14:34 | comment | added | Fedor Petrov | @IosifPinelis thank you, fixed this too | |
| Jul 7, 2023 at 14:33 | history | edited | Fedor Petrov | CC BY-SA 4.0 |
added 4 characters in body
|
| Jul 7, 2023 at 14:31 | comment | added | Iosif Pinelis | Also, I guess, instead of $N^{19/20}$, you meant $N^{-19/20}$. | |
| Jul 7, 2023 at 14:30 | comment | added | Iosif Pinelis | The expected number of samples less than $N^{1/2}$ is $NP(X<N^{1/2})\sim N$. Or, perhaps, I misunderstood what you meant by the expected number of samples less than $N^{1/2}$. | |
| Jul 7, 2023 at 8:50 | comment | added | Fedor Petrov | @JamesMartin thank you, fixed | |
| Jul 7, 2023 at 8:49 | history | edited | Fedor Petrov | CC BY-SA 4.0 |
edited body
|
| Jul 7, 2023 at 8:22 | comment | added | James Martin | I think the $N^{19/20}$ towards the end is meant to be $N^{19/10}$. | |
| Jul 7, 2023 at 4:18 | history | answered | Fedor Petrov | CC BY-SA 4.0 |