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
Details
ABI = exp(-abs(SSP-1)/exp(-2))
References
Danilevicz, I.M., van Hees, V.T., van der Heide, F., Jacob, L., Landré, B., Benadjaoud, M.A., Sabia, S. (2023). Measures of fragmentation of rest activity patterns: mathematical properties and interpretability based on accelerometer real life data. Research square. 10.21203/rs.3.rs-3543711/v1.
# Estimate Activity balance index of a very known time series available on R base: the sunspot.year.
library(DFA)
alpha = SSP(sunspot.year, scale = 1.2)
abi = ABI(alpha)