Testing for cross-quantilogram change

Fuente: arXiv
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Autori principali: Chang, Chia-Min, Cheng, Yu-Hsiang, Huang, Tzee-Ming
Natura: Preprint
Pubblicazione: 2026
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author Chang, Chia-Min
Cheng, Yu-Hsiang
Huang, Tzee-Ming
author_facet Chang, Chia-Min
Cheng, Yu-Hsiang
Huang, Tzee-Ming
contents For two time series $\{ (Y_t, Z_t^Y) \}_{t}$ and $\{(X_t, Z_t^X)\}_{t}$, the directional dependence of $\{ X_t \}_{t}$ on $\{ Y_t \}_{t}$ while removing the impact of $Z_t^X$ on $X_t$ and the impact of $Z_t^Y$ on $ Y_t$ can be measured by cross-quantilograms. When the two time series are obeserved over two periods of time, it can be of interest to learn whether the cross-quantilograms remain the same for the two periods of time. We propose a test for this purpose, and the cross-quantilograms are estimated using the estimators proposed by Han (2016). The $p$-value of the proposed test is obtained based on a bootstrap approach.
format Preprint
id arxiv_https___arxiv_org_abs_2603_20716
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Testing for cross-quantilogram change
Chang, Chia-Min
Cheng, Yu-Hsiang
Huang, Tzee-Ming
Methodology
62H15
For two time series $\{ (Y_t, Z_t^Y) \}_{t}$ and $\{(X_t, Z_t^X)\}_{t}$, the directional dependence of $\{ X_t \}_{t}$ on $\{ Y_t \}_{t}$ while removing the impact of $Z_t^X$ on $X_t$ and the impact of $Z_t^Y$ on $ Y_t$ can be measured by cross-quantilograms. When the two time series are obeserved over two periods of time, it can be of interest to learn whether the cross-quantilograms remain the same for the two periods of time. We propose a test for this purpose, and the cross-quantilograms are estimated using the estimators proposed by Han (2016). The $p$-value of the proposed test is obtained based on a bootstrap approach.
title Testing for cross-quantilogram change
topic Methodology
62H15
url https://arxiv.org/abs/2603.20716