Preprint Short Note Version 1 Preserved in Portico This version is not peer-reviewed

Outsiders: The Definition and Critical Analysis

Version 1 : Received: 9 July 2020 / Approved: 11 July 2020 / Online: 11 July 2020 (03:52:57 CEST)

How to cite: Klebanov, L.B.; Shevlyakov, G.L. Outsiders: The Definition and Critical Analysis. Preprints 2020, 2020070226. https://doi.org/10.20944/preprints202007.0226.v1 Klebanov, L.B.; Shevlyakov, G.L. Outsiders: The Definition and Critical Analysis. Preprints 2020, 2020070226. https://doi.org/10.20944/preprints202007.0226.v1

Abstract

A critical analysis of the classical definition of outsiders is given. Some examples show that this notion is not universal and has at least two drawbacks. Particularly, the set of outsiders may have the probability arbitrary close to one half. On the other hand, the deleting of the set of outsiders may dramatically change the value of the median.

Keywords

outsiders; outliers; instability of the median; gamma-distribution

Subject

Computer Science and Mathematics, Probability and Statistics

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