Extreme value theory as a theoretical background for power law behavior
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Títol
Extreme value theory as a theoretical background for power law behaviorData de publicació
2010Editor
Kiel Institute for the World EconomyISSN
1862-1155Cita bibliogràfica
Kiel Working Paper (2010) núm. 1648, p. 1-10Tipus de document
info:eu-repo/semantics/articleVersió de l'editorial
http://www.bwl.uni-kiel.de/gwrp/files/papers/POWERneu.pdfVersió
info:eu-repo/semantics/publishedVersionParaules clau / Matèries
Resum
Power law behavior has been recognized to be a pervasive feature of many phenomena in natural and social sciences. While immense research efforts have been devoted to the analysis of behavioral mechanisms responsible ... [+]
Power law behavior has been recognized to be a pervasive feature of many phenomena in natural and social sciences. While immense research efforts have been devoted to the analysis of behavioral mechanisms responsible for the ubiquity of power-law scaling, the strong theoretical foundation of power laws as a very general type of limiting behavior of large realizations of stochastic processes is less well known. In this paper, we briefly present some of the key results of extreme value theory, which provide a statistical justification for the emergence of power laws as limiting behavior for extreme fluctuations. The remarkable generality of the theory allows to abstract from the details of the system under investigation, and therefore allows its application in many diverse fields. Moreover, this theory offers new powerful techniques for the estimation of the Pareto index, detailed in the second part of this chapter [-]
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© Kiel Institute for the World Economy
info:eu-repo/semantics/openAccess
© Kiel Institute for the World Economy
info:eu-repo/semantics/openAccess
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