Outliers and related problems

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.

Statistical Indicators of the Scientific Publications Importance: a Stochastic Model and Critical Look

“…In other words, maximum of observations is essentially greater than previous one. This observation leads us to think that the corresponding distribution has heavy tails (see [3] and [4]). As we have seen, it is possible for the case γ = 1 only.…”