Alfarano, Simone and Lux, Thomas (2010): Extreme Value Theory as a Theoretical Background for Power Law Behavior.

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Abstract
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 powerlaw 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 chapter, 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.
Item Type:  MPRA Paper 

Original Title:  Extreme Value Theory as a Theoretical Background for Power Law Behavior 
Language:  English 
Keywords:  Extreme Value Theory; Power Laws; Tail index 
Subjects:  C  Mathematical and Quantitative Methods > C1  Econometric and Statistical Methods and Methodology: General > C13  Estimation: General C  Mathematical and Quantitative Methods > C1  Econometric and Statistical Methods and Methodology: General > C14  Semiparametric and Nonparametric Methods: General C  Mathematical and Quantitative Methods > C0  General > C01  Econometrics 
Item ID:  24718 
Depositing User:  Simone Alfarano 
Date Deposited:  30. Aug 2010 19:30 
Last Modified:  15. Feb 2013 21:43 
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URI:  http://mpra.ub.unimuenchen.de/id/eprint/24718 