Abstract
A set of n distinct points in the plane defines lines by joining each pair of distinct points. The median slope of these O(n2) lines was proposed by Theil as a robust estimator for the slope of the line of best fit for the points. We present a randomized algorithm for selecting the k-th smallest slope of such a set of lines which runs in expected O(n log n) time. An efficient implementation of the algorithm and practical experience with the algorithm are discussed.
| Original language | American English |
|---|---|
| Pages (from-to) | 1-27 |
| Journal | International Journal of Computational Geometry and Applications |
| Volume | 2 |
| Issue number | 01 |
| State | Published - 1992 |