When calculating the Bandt and Pompe ordinal pattern distribution from given time series at depth D, some of the D! patterns might not appear. This could be a pure finite size effect (missing patterns) or due to dynamical ...

We revisit the decay of missing ordinal patterns in long-term correlated time series. More precisely, a stretched exponential model is proposed to describe more appropriately how the number of missing ordinal patterns ...

The number of missing ordinal patterns (NMP) is the number of ordinal patterns that do not appear in a series after it has been symbolized using the Bandt and Pompe methodology. In this paper, the NMP is demonstrated as a ...

We use ordinal patterns and symbolic analysis to construct global climate networks and uncover long- and short-term memory processes. Data analyzed are the monthly averaged surface air temperature (SAT field), and the ...

In this paper we use the ordinal patterns probabilities associated with fractional Brownian motions for estimating the Hurst exponent of artificially generated and experimentally measured data. Numerical analysis show a ...

We deal here with the issue of determinism versus randomness in time series. One wishes to identify their relative weights in a given time series. Two different tools have been advanced in the literature to such effect, ...

In this paper, we introduce a model to describe the decay of the number of unobserved ordinal patterns as a function of the time series length in noisy chaotic dynamics. More precisely, we show that a stretched exponential ...