Outliers and Related Problems

Lev B. Klebanov (), Jaromír Antoch () and Ashot V. Kakosyan ()
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Lev B. Klebanov: Charles University, Department of Probability and Mathematical Statistics, Faculty of Mathematics and Physics
Jaromír Antoch: Charles University, Department of Probability and Mathematical Statistics, Faculty of Mathematics and Physics
Ashot V. Kakosyan: Armenian State University of Economics, Department of Mathematical Methods in Economics

Chapter Chapter 20 in Asymptotic and Methodological Statistics, 2026, pp 403-417 from Springer

Abstract: Abstract We define outliers as a set of observations that contradicts the proposed mathematical (statistical) model, and we discuss the frequently observed types of outliers. Further, we explore what changes in the model have to be made to avoid the occurrence of the outliers. We observe that some variants of the outliers lead to classical results in probability, such as the law of large numbers and the concept of heavy-tailed distributions.

Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-032-07178-1_20

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DOI: 10.1007/978-3-032-07178-1_20

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