6533b86efe1ef96bd12cc716

RESEARCH PRODUCT

Fluctuation patterns in high-frequency financial asset returns

Johannes J. SchneiderTobias PreisTobias PreisWolfgang Paul

subject

Series (mathematics)Stochastic processOrder (exchange)media_common.quotation_subjectAutocorrelationEconometricsGeneral Physics and AstronomyTime seriesRandom walkMeasure (mathematics)Conformitymedia_commonMathematics

description

We introduce a new method for quantifying pattern-based complex short-time correlations of a time series. Our correlation measure is 1 for a perfectly correlated and 0 for a random walk time series. When we apply this method to high-frequency time series data of the German DAX future, we find clear correlations on short time scales. In order to subtract trivial autocorrelation parts from the pattern conformity, we introduce a simple model for reproducing the antipersistent regime and use alternatively level 1 quotes. When we remove the pattern conformity of this stochastic process from the original data, remaining pattern-based correlations can be observed.

https://doi.org/10.1209/0295-5075/82/68005