GGIR (version 3.2-0)

ABI: Activity balance index (ABI)

Description

This function estimates the Activity balance index (ABI), which is a transformation of the self-similarity parameter (SSP), also known as scaling exponent or alpha.

Usage

ABI(x)

Value

The estimated Activity balance index (ABI) is a real number between zero and one.

Arguments

x

the estimated self-similarity parameter (SSP)

Author

Ian Meneghel Danilevicz <[e-mail]>

Details

ABI = exp(-abs(SSP-1)/exp(-2))

References

C.-K. Peng, S.V. Buldyrev, S. Havlin, M. Simons, H.E. Stanley, A.L. Goldberger Phys. Rev. E, 49 (1994), p. 1685 Mesquita, Victor & Filho, Florencio & Rodrigues, Paulo. (2020). Detection of crossover points in detrended fluctuation analysis: An application to EEG signals of patients with epilepsy. Bioinformatics. 10.1093/bioinformatics/btaa955.

Examples

  # Estimate Activity balance index of a very known time series
  # available on R base: the sunspot.year.
  if (FALSE) {  
    ssp = SSP(sunspot.year)
    abi = ABI(ssp)
  }