Power law and entropy analysis of catastrophic phenomena
type: Item
instance of: scholarly article
title: Power law and entropy analysis of catastrophic phenomena
zbMATH Open document ID: 1299.91100
DOI: 10.1155/2013/562320
author: Carla M. A. Pinto
author: A. Mendes Lopes
author: José A. Tenreiro Machado
published in: Mathematical Problems in Engineering
publication date: 2014-11-24T00:00:00Z
review text: Summary: Catastrophic events, such as wars and terrorist attacks, tornadoes and hurricanes, earthquakes, tsunamis, floods and landslides, are always accompanied by a large number of casualties. The size distribution of these casualties has separately been shown to follow approximate power law (PL) distributions. In this paper, we analyze the statistical distributions of the number of victims of catastrophic phenomena, in particular, terrorism, and find double PL behavior. This means that the data sets are better approximated by two PLs instead of a single one. We plot the PL parameters, corresponding to several events, and observe an interesting pattern in the charts, where the lines that connect each pair of points defining the double PLs are almost parallel to each other. A complementary data analysis is performed by means of the computation of the entropy. The results reveal relationships hidden in the data that may trigger a future comprehensive explanation of this type of phenomena.
Mathematics Subject Classification ID: 91B70
Mathematics Subject Classification ID: 62P25
Mathematics Subject Classification ID: 62P05
Mathematics Subject Classification ID: 62E15
zbMATH DE Number: 6372508
Wikidata QID: Q59026604
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/562320
OpenAlex ID: W2002784814
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description: scientific article; zbMATH DE number 6372508