L2hdchange (version 1.0)

get_teststats: Obtain the test statistics

Description

Obtain the test statistics

Usage

get_teststats(hdobj)

Value

A list containing the test statistics \(\mathcal{\boldsymbol{Q}}_{n}\)

and a sequence of standardised \(|V_{i}|_{2}^{2}\).

Arguments

hdobj

An S3 object of class 'no_nbd' or 'nbd' generated by ts_hdchange().

References

Li, J., Chen, L., Wang, W. and Wu, W.B., 2022. \(\ell^2\) Inference for Change Points in High-Dimensional Time Series via a Two-Way MOSUM. arXiv preprint arXiv:2208.13074.

Examples

# generate data
data_no_nbd <- sim_hdchange_no_nbd(n = 200,
p = 30,
S = 30,
tau = c(40, 100, 160),
dist_info =
  list(dist = "normal", dependence = "MA_inf", param = 1),
jump_max = c(2, 2, 1.5))

# construct no_nbd object
ts_no_nbd <- ts_hdchange(data_no_nbd,
window_size = 30,
m = 8,
h = 1,
N_rep = 999,
alpha = 1e-5,
quantiles = c(0.01, 0.05, 0.1))

teststat <- get_teststats(ts_no_nbd)