Quantifying the unexpected: A scientific approach to Black Swans

Many natural and socioeconomic systems are characterized by power-law distributions that make the occurrence of extreme events not negligible. Such events are sometimes referred to as Black Swans, but a quantitative definition of a Black Swan is still lacking. Here, by leveraging on the properties o...

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Main Authors: Giordano De Marzo, Andrea Gabrielli, Andrea Zaccaria, Luciano Pietronero
Format: Article
Language:English
Published: American Physical Society 2022-07-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.4.033079
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author Giordano De Marzo
Andrea Gabrielli
Andrea Zaccaria
Luciano Pietronero
author_facet Giordano De Marzo
Andrea Gabrielli
Andrea Zaccaria
Luciano Pietronero
author_sort Giordano De Marzo
collection DOAJ
description Many natural and socioeconomic systems are characterized by power-law distributions that make the occurrence of extreme events not negligible. Such events are sometimes referred to as Black Swans, but a quantitative definition of a Black Swan is still lacking. Here, by leveraging on the properties of Zipf-Mandelbrot law, we investigate the relations between such extreme events and the dynamics of the upper cutoff of the inherent distribution. This approach permits a quantification of extreme events and allows to classify them as White, Gray, or Black Swans. Our criterion is in accordance with some previous findings but also allows us to spot new examples of Black Swans, such as Lionel Messi and the Turkish Airlines Flight 981 disaster. The systematic and quantitative methodology we developed allows a scientific and immediate categorization of rare events, also providing insight into the generative mechanism behind Black Swans.
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spelling doaj.art-d9cb943f639b478d80cee0e13d2cc9892024-04-12T17:23:11ZengAmerican Physical SocietyPhysical Review Research2643-15642022-07-014303307910.1103/PhysRevResearch.4.033079Quantifying the unexpected: A scientific approach to Black SwansGiordano De MarzoAndrea GabrielliAndrea ZaccariaLuciano PietroneroMany natural and socioeconomic systems are characterized by power-law distributions that make the occurrence of extreme events not negligible. Such events are sometimes referred to as Black Swans, but a quantitative definition of a Black Swan is still lacking. Here, by leveraging on the properties of Zipf-Mandelbrot law, we investigate the relations between such extreme events and the dynamics of the upper cutoff of the inherent distribution. This approach permits a quantification of extreme events and allows to classify them as White, Gray, or Black Swans. Our criterion is in accordance with some previous findings but also allows us to spot new examples of Black Swans, such as Lionel Messi and the Turkish Airlines Flight 981 disaster. The systematic and quantitative methodology we developed allows a scientific and immediate categorization of rare events, also providing insight into the generative mechanism behind Black Swans.http://doi.org/10.1103/PhysRevResearch.4.033079
spellingShingle Giordano De Marzo
Andrea Gabrielli
Andrea Zaccaria
Luciano Pietronero
Quantifying the unexpected: A scientific approach to Black Swans
Physical Review Research
title Quantifying the unexpected: A scientific approach to Black Swans
title_full Quantifying the unexpected: A scientific approach to Black Swans
title_fullStr Quantifying the unexpected: A scientific approach to Black Swans
title_full_unstemmed Quantifying the unexpected: A scientific approach to Black Swans
title_short Quantifying the unexpected: A scientific approach to Black Swans
title_sort quantifying the unexpected a scientific approach to black swans
url http://doi.org/10.1103/PhysRevResearch.4.033079
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