scholarly journals Outlier Detection with Kernel Density Functions

Author(s):  
Longin Jan Latecki ◽  
Aleksandar Lazarevic ◽  
Dragoljub Pokrajac
2016 ◽  
Vol 91 (1-2) ◽  
pp. 141-159 ◽  
Author(s):  
Arthur Charpentier ◽  
Emmanuel Flachaire

Standard kernel density estimation methods are very often used in practice to estimate density functions. It works well in numerous cases. However, it is known not to work so well with skewed, multimodal and heavy-tailed distributions. Such features are usual with income distributions, defined over the positive support. In this paper, we show that a preliminary logarithmic transformation of the data, combined with standard kernel density estimation methods, can provide a much better fit of the density estimation.


2020 ◽  
Vol 11 (2) ◽  
pp. 137-145
Author(s):  
Mărgărit-Mircea NISTOR ◽  
Alexandru-Sabin NICULA ◽  
Ştefan DEZSI ◽  
Dănuţ PETREA ◽  
Shankar Acharya KAMARAJUGEDDA ◽  
...  

The variation of tourism flow and its spatial representation are indispensable for transport companies, accommodation facilities and future estimations regarding the international arrivals. The major implication for tourism flow mapping is related to the country of origin of tourists, their liquid assets, and tourism statistical database. The approach of tourism flow mapping representation, at least using lines and density, should be based on the spatial characteristics of the objects. In this study, the database consisting of international arrivals in different cities of Romania was used as an example. Thus, GIS-based Kernel density of the tourists’ flow was proposed. To illustrate the international demand, data on arrivals for 33 countries over the period 2015-2017 were used. ‘XY To Line’ and ‘Kernel Density’ functions served to create the convergence lines between the origin countries and Romania. The very high density was found for the European countries with an increase of 13% and 25% between 2015 and 2016, as well as between 2015 and 2017. Map analysis indicated an increase of the density area by 0.7% for 2016 and 1.7% for 2017. The proposed methods, including lines and density, contribute to the mapping of the flow of the international arrivals in Romania.


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