2021
DOI: 10.1111/jtsa.12635
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Rank test of unit‐root hypothesis with AR‐GARCH errors

Abstract: A robust rank test based on the regression rank score process is proposed to test the unit-root hypothesis under linear GARCH noises in this article. It is shown that the limit distribution of the rank test is a function of a stable process and a Brownian motion. The finite sample studies indicate that the proposed test statistic exhibits a reliable size and a remarkable power under a variety of tail index 𝛼, and performs better than other unit-root tests based on least square procedure, such as the augmented… Show more

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Cited by 4 publications
(2 citation statements)
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References 42 publications
(59 reference statements)
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“…We checked the stationarity of the time series data by conducting unit root tests, utilizing the Augmented Dickey-Fuller, and Phillips-Perron tests, which are standard tools in time series analysis (Liao et al, 2021). The results, presented in Table 4 for the ADF test and PP test, consistently showed p-values below 0.05 (see Table 4).…”
Section: Analysis and Discussionmentioning
confidence: 99%
“…We checked the stationarity of the time series data by conducting unit root tests, utilizing the Augmented Dickey-Fuller, and Phillips-Perron tests, which are standard tools in time series analysis (Liao et al, 2021). The results, presented in Table 4 for the ADF test and PP test, consistently showed p-values below 0.05 (see Table 4).…”
Section: Analysis and Discussionmentioning
confidence: 99%
“…If the time series data is non-stationary, the modelling could lead to spurious result and as such, testing for stationarity and co-integration analysis are very important (Li & Chau, 2016;Vijay, 2021). However, it is necessary to undertake unit root tests before the co-integration analysis (Arltová & Fedorová, 2016;Liao et al, 2022) and the formal method to test the stationarity of the series is the unit root test. To test the time series data using unit root, Augmented Dickey Fuller (ADF) test, Philips-Perron (PP) tests, etc can be applied though this current study adopted the ADF.…”
Section: 30 Econometric Methodsmentioning
confidence: 99%