Timeline for Average number of elements of a subset S of a matrix A after inducing the rows and columns of m randomly selected elements from subset S
Current License: CC BY-SA 4.0
13 events
| when toggle format | what | by | license | comment | |
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| May 10, 2020 at 15:53 | history | edited | Max Alekseyev | CC BY-SA 4.0 |
typo corrected
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| May 10, 2020 at 15:22 | comment | added | Carlos A. Astudillo Trujillo | I tested your solution of selection with replacement and it is more accurate than my previous suggestion of considering $m^{'}$ and selection without replacement. Thank you again. | |
| May 10, 2020 at 14:30 | comment | added | Carlos A. Astudillo Trujillo | Another option to answer my initial question is just to consider $m$ as $m^{′}$ in your formula without replacement and calculate $m{′}=N{\cdot}k\left(1−B_{0}(n,p)\right)$, where $B_{r}(n,p)$ is the binomial distribution with parameters $n=m$ (as defined in the initial question), $p=\frac{1}{N{\cdot}k}$ and $r$ is the number of times an element in $S_k$ is selected. Thus, $1−B_{0}(n,p)$ is the probability that an element of $S_{k}$ is selected at least once in $n$ trials. | |
| May 10, 2020 at 14:21 | vote | accept | Carlos A. Astudillo Trujillo | ||
| May 10, 2020 at 13:43 | comment | added | Max Alekseyev | @CarlosA.AstudilloTrujillo: Yes. Selection with replacement is similar - added it now | |
| May 10, 2020 at 13:42 | history | edited | Max Alekseyev | CC BY-SA 4.0 |
added 150 characters in body
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| May 10, 2020 at 13:27 | comment | added | Carlos A. Astudillo Trujillo | Thank you @Max for your answer. It seems that in your solution $m$ is the number of unique selected elements, is it right? | |
| May 10, 2020 at 5:15 | history | edited | Max Alekseyev | CC BY-SA 4.0 |
simplified
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| May 10, 2020 at 5:08 | history | undeleted | Max Alekseyev | ||
| May 10, 2020 at 5:02 | history | edited | Max Alekseyev | CC BY-SA 4.0 |
corrected
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| May 10, 2020 at 4:40 | history | deleted | Max Alekseyev | via Vote | |
| May 10, 2020 at 4:37 | history | edited | Max Alekseyev | CC BY-SA 4.0 |
added 9 characters in body
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| May 10, 2020 at 4:25 | history | answered | Max Alekseyev | CC BY-SA 4.0 |