Time Series - Models - Measures

Measures

Time series metrics or features that can be used for time series classification or regression analysis:

  • Univariate linear measures
    • Moment (mathematics)
    • Spectral band power
    • Spectral edge frequency
    • Accumulated Energy (signal processing)
    • Characteristics of the autocorrelation function
    • Hjorth parameters
    • FFT parameters
    • Autoregressive model parameters
  • Univariate non-linear measures
    • Measures based on the correlation sum
    • Correlation dimension
    • Correlation integral
    • Correlation density
    • Correlation entropy
    • Approximate Entropy
    • Sample Entropy
    • Fourier entropy
    • Wavelet entropy
    • Rényi entropy
    • Higher-order methods
    • Marginal predictability
    • Dynamical similarity index
    • State space dissimilarity measures
    • Lyapunov exponent
    • Permutation methods
    • Local flow
  • Other univariate measures
    • Algorithmic complexity
    • Kolmogorov complexity estimates
    • Hidden Markov Model states
    • Surrogate time series and surrogate correction
    • Loss of recurrence (degree of non-stationarity)
  • Bivariate linear measures
    • Maximum linear cross-correlation
    • Linear Coherence (signal processing)
  • Bivariate non-linear measures
    • Non-linear interdependence
    • Dynamical Entrainment (physics)
    • Measures for Phase synchronization
  • Similarity measures:
    • Dynamic Time Warping
    • Hidden Markov Models
    • Edit distance
    • Total correlation
    • Newey–West estimator
    • Prais-Winsten transformation
    • Data as Vectors in a Metrizable Space
      • Minkowski distance
      • Mahalanobis distance
    • Data as Time Series with Envelopes
      • Global Standard Deviation
      • Local Standard Deviation
      • Windowed Standard Deviation
    • Data Interpreted as Stochastic Series
      • Pearson product-moment correlation coefficient
      • Spearman's rank correlation coefficient
    • Data Interpreted as a Probability Distribution Function
      • Kolmogorov-Smirnov test
      • Cramér-von Mises criterion

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