Timeline for Estimate probability that random variable is smaller than given value
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
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| Jun 30, 2017 at 7:55 | comment | added | Chris | Thanks also for the reference to the rule of three. And I must say the Dvoetzky-Kiefer-Wolfowitz inequality is a really cool result... impressed me from a mathematical standpoint. | |
| Jun 30, 2017 at 7:54 | vote | accept | Chris | ||
| Jun 23, 2017 at 13:36 | comment | added | whuber♦ | It's a Binomial confidence limit. It depends only on the fact that the threshold exceeds the maximum observed value in a simple random sample. See stats.stackexchange.com/search?q=rule+of+three. | |
| Jun 22, 2017 at 22:56 | comment | added | Evgeniy Riabenko | Could you elaborate on how did you get this limit and why does it not depend on the value of the threshold? | |
| Jun 22, 2017 at 22:46 | comment | added | whuber♦ | That's a pretty bad confidence limit. After all, if the probability were well inside it--say, $\Pr(X \gt 400) = 1/10$, then the chance that all $67$ data values are less than or equal to $400$ would be $1 - (1-1/10)^{67}=0.99914\ldots$. A better confidence limit procedure would give a smaller limit, one for which this probability were equal to $1-\alpha$. A much better, and far simpler, limit is thereby obtained as $1-\alpha^{1/n}= 0.0437\ldots$. | |
| Jun 22, 2017 at 22:33 | history | answered | Evgeniy Riabenko | CC BY-SA 3.0 |