delta statistic of conditional independence and associated bootstrap test
Usage
delta(x, m, d = 1, eps)
delta.test(
x,
m = 2:3,
d = 1,
eps = seq(0.5 * sd(x), 2 * sd(x), length = 4),
B = 49
)
Value
delta returns the computed delta statistic. delta.test
returns the bootstrap based 1-sided p-value.
Arguments
x
time series
m
vector of embedding dimensions
d
time delay
eps
vector of length scales
B
number of bootstrap replications
Warning
Results are sensible to the choice of the window
eps. So, try the test for a grid of m and eps values.
Also, be aware of the course of dimensionality: m can't be too high for
relatively small time series. See references for further details.
Author
Antonio, Fabio Di Narzo
Details
delta statistic of conditional independence and associated bootstrap test.
For details, see Manzan(2003).
References
Sebastiano Manzan, Essays in Nonlinear Economic Dynamics, Thela
Thesis (2003)
See Also
BDS marginal independence test: bds.test in
package tseries
Teraesvirta's neural network test for nonlinearity:
terasvirta.test in package tseries