Outliers and related problems
Probability
2017-01-25 v1 Statistics Theory
Statistics Theory
Abstract
We define outliers as a set of observations which contradicts the proposed mathematical (statistical) model and we discuss the frequently observed types of the outliers. Further we explore what changes in the model have to be made in order to avoid the occurance 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. Key words: outlier; the law of large numbers; heavy tailed distributions; model rejection.
Keywords
Cite
@article{arxiv.1701.06642,
title = {Outliers and related problems},
author = {Lev B. Klebanov and Jaromir Antoch and Andrea Karlova and Ashot V. Kakosyan},
journal= {arXiv preprint arXiv:1701.06642},
year = {2017}
}