Timeline for Should I use a mean-based measure of skewness or a median-based measure of skewness, when the distribution has a very long tail?
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| Dec 6, 2023 at 15:31 | comment | added | Peter Flom | To evaluate whether some estimator is biased, we need to know biased against what? You can generate various distributions and check various estimators of skewness and see which one does what in what circumstances. There is a big literature on skewness that you can search as well. However, it might be that, in your case, you really need a graphical measure. | |
| Dec 6, 2023 at 15:22 | comment | added | Ommo | Thanks for your comment @PeterFlom! I understood that any measure is relatively useful to the needs or questions we want to investigate. However, I am still wondering if "long tails might have an effect similar to outliers" when calculating the skewness. In other words, I wonder if mean-based skewness coefficients are biased in a similar way by outliers or long tails? (Indeed, if we have many outliers close to each others, I would see them as a discontinuous long tail) This is something I did not find in the papers I read so far.. | |
| Dec 6, 2023 at 13:31 | history | answered | Peter Flom | CC BY-SA 4.0 |