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arXiv · 1106.0039

The near-extreme density of intraday log-returns

Mauro Politi·Nicolas Millot·Anirban Chakraborti
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Abstract

The extreme event statistics plays a very important role in the theory and practice of time series analysis. The reassembly of classical theoretical results is often undermined by non-stationarity and dependence between increments. Furthermore, the convergence to the limit distributions can be slow, requiring a huge amount of records to obtain significant statistics, and thus limiting its practical applications. Focussing, instead, on the closely related density of "near-extremes" -- the distance between a record and the maximal value -- can render the statistical methods to be more suitable in the practical applications and/or validations of models. We apply this recently proposed method in the empirical validation of an adapted financial market model of the intraday market fluctuations.

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Mauro Politi, Nicolas Millot, Anirban Chakraborti. 2011-05-31. The near-extreme density of intraday log-returns. https://doi.org/10.1016/j.physa.2011.05.029

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