Numerical Presentation of the Selected Statistical Notions Based on Tukey's Concept of Observation Depth in the Sample

Abstract

The study provides presentation of selected statistical concepts based on data depth by Tukey. The concepts as: the rang of depth, the half-space convex, contour, simplicial depth breakdown points, position numerical measures, the trimmed mean depth, regression depth and the set of generally positive points were exemplified in a two-dimensional space of the dataset. There are also given numerical algorithms in some cases to indicate already mentioned concepts and to study their affined transformation. There are also given example for a one-dimensional space besides general description

W pracy omówiono definicję zanurzenia punktu w próbie oraz wywodzące się z lej koncepcji pewne inne pojęcie statystyczne. Przedstawiono między innymi wskaźniki określające stopień zanurzenia oraz zaproponowano metody numerycznego ich wyznaczania.