It is generally recognized that economical systems, and more in general complex systems, are characterized by power law distributions. Sometime, these distributions show a changing of the slope in the tail so that, more appropriately, they show a multi-power law behavior. We present a method to deri
The Lévy sections theorem: An application to econophysics
✍ Scribed by A. Figueiredo; R. Matsushita; S. daSilva; M. Serva; G.M. Viswanathan; C. Nascimento; Iram Gleria
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 172 KB
- Volume
- 386
- Category
- Article
- ISSN
- 0378-4371
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✦ Synopsis
We employ the Le´vy sections theorem in the analysis of selected dollar exchange rate time series. The theorem is an extension of the classical central limit theorem and offers an alternative to the most usual analysis of the sum variable. We find that the presence of fat tails can be related to the local volatility pattern of the series.
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A known theorem states that there is a function f = f(k) such that every tournament T with at least f(k) vertices contains a transitive subtournament on k vertices. In this paper, the concept of an ordered r-tournament is introduced and the existence of an analogous function to f = f(k) is establish