Calculates time reversal assymetry statistic.
Accomplishes this using the following equation applied to each component separately:
3 sum (y - y ) n n-d ------------------ 2 sum (y - y ) n n-d
Input
This function always assumes that each time series is along the longer dimension of matrix S. It also assumes that every dimension (counting along the shorter dimension) of S is considered a component of the time series.
The delay for the statistic (’d’ in the equation above) [default = 1].
Output
The output is the calculated time reversal asymmetry statistic. It is calculated for each component separately and is alligned with the components, so if the input’s components were columns vectors the output will be a row vector and vice versa.
Algorithms
The algorithms for this functions have been taken from the TISEAN package.
Package: tisean