Timeline for Can I compute a confidence interval without assuming any underlying distributions?
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
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| Oct 14, 2022 at 20:36 | comment | added | Alex | You may not need the confidence interval if your practical goal is to find the threshold to limit the storage. The confidence interval is a range estimate of the quantity you want to find. The sample quantile is the point estimate. | |
| Oct 14, 2022 at 17:31 | comment | added | bdeonovic | @rusiano, it all depends on what you want to do, what questions you want to answer, what risks you want to account for, what compromises you are willing to make etc. I think your main questions regarding non-parametric estimation of statistical quantities has been thoroughly answered, but most of the statisticians here are are trying to point you to the more important questions. | |
| Oct 14, 2022 at 17:25 | vote | accept | rusiano | ||
| Oct 14, 2022 at 17:06 | comment | added | rusiano | @Alex So you're saying I should compute a CI for the 80th or 95th quantile? | |
| Oct 14, 2022 at 16:11 | comment | added | Alex | I would stick to a prespecified quantile that doesn't have to be the 50th quantile (the median), because you may want to meet the demands not of exactly 50% of your clients (leaving the other 50% unhappy), but of, let's say, 80% or 95% or your clients. | |
| Oct 14, 2022 at 16:05 | comment | added | rusiano | Thank you! Well, in this case I am more interested in what the majority of users does in order to determine a valid upper bound for the allowed storage. In this case it is more a matter of setting a reasonable limit than being prepared for exceptional needs. Computing the mean with such extreme values felt like it was distorting the reality of things. Makes sense? | |
| Oct 14, 2022 at 15:49 | history | answered | Eoin | CC BY-SA 4.0 |