ABI {DFA}

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)

Arguments

x

the estimated self-similarity parameter (SSP)

Details

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

Value

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

Author(s)

Ian Meneghel Danilevicz

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.

Examples

# 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)