Resistance to the low-density regions: the mean and the median

1 · Andrey Akinshin · Nov. 15, 2022, 7:34 p.m.
Summary
When we discuss resistant statistics, we typically assume resistance to extreme values. However, extreme values are not the only problem source that can violate usual assumptions about expected metric distribution. The low-density regions which often arise in multimodal distributions can also corrupt the results of the statistical analysis. In this post, I discuss this problem and introduce a measure of resistance to low-density regions....