Timeline for Approach for finding the joint pdf of the maximum and the minimum
Current License: CC BY-SA 4.0
11 events
| when toggle format | what | by | license | comment | |
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| Jan 2, 2023 at 16:36 | history | edited | whuber♦ | CC BY-SA 4.0 |
appended answer 289278 as supplemental
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| Jul 7, 2017 at 9:35 | comment | added | user164144 | You mean substitute the 1st and nth order stats to the equation and simplify it to find the pdf? Yeah, i did that too. What I was saying is that I'd like to be able to derive the pdf the way i was trying to above. | |
| Jul 7, 2017 at 9:00 | comment | added | Glen_b | Again, I wasn't suggesting you memorize it; I was suggesting you use substitution into it. | |
| Jul 7, 2017 at 4:24 | comment | added | user164144 | I meant the form of the joint order stat pdf in the wiki page that you have which even when limited to f(min,max) is quite long (unless I am not understanding your suggestion correctly). | |
| Jul 7, 2017 at 4:20 | comment | added | Glen_b | I'm not sure that there's anything to memorize in my suggestion. You can simply obtain the solution to your specific problem from the solution to a more general one by substitution. | |
| Jul 7, 2017 at 4:16 | comment | added | user164144 | @Glen_b Thanks. I'm trying to avoid needing to memorize too many things though. Is there still anything wrong with my new representation for $Pr(Z<z, W<w)$? | |
| Jul 7, 2017 at 3:40 | history | edited | user164144 | CC BY-SA 3.0 |
added 324 characters in body
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| Jul 7, 2017 at 3:40 | comment | added | Glen_b | Wikipedia gives the general case of the joint distribution of two order statistics for iid sampling from a continuous distribution in its article on order statistics, in the section titled The joint distribution of the order statistics of an absolutely continuous distribution. | |
| Jul 7, 2017 at 3:27 | vote | accept | user164144 | ||
| Jul 7, 2017 at 3:16 | answer | added | Michael R. Chernick | timeline score: 2 | |
| Jul 7, 2017 at 3:07 | history | asked | user164144 | CC BY-SA 3.0 |