Power Law and Entropy Analysis of Catastrophic Phenomena
Joint Authors
Pinto, Carla M. A.
Lopes, António M.
Tenreiro Machado, José António
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-02-07
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
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 comprehensiveexplanation of this type of phenomena.
American Psychological Association (APA)
Tenreiro Machado, José António& Pinto, Carla M. A.& Lopes, António M.. 2013. Power Law and Entropy Analysis of Catastrophic Phenomena. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-1031975
Modern Language Association (MLA)
Tenreiro Machado, José António…[et al.]. Power Law and Entropy Analysis of Catastrophic Phenomena. Mathematical Problems in Engineering No. 2013 (2013), pp.1-10.
https://search.emarefa.net/detail/BIM-1031975
American Medical Association (AMA)
Tenreiro Machado, José António& Pinto, Carla M. A.& Lopes, António M.. Power Law and Entropy Analysis of Catastrophic Phenomena. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-1031975
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1031975