Towards a unified test for the intercept of autoregressive models

© 2024 Informa UK Limited, trading as Taylor & Francis Group.

Bibliographische Detailangaben
Veröffentlicht in:Journal of applied statistics. - 1991. - 51(2024), 16 vom: 03., Seite 3407-3430
1. Verfasser: Zhang, Jing (VerfasserIn)
Weitere Verfasser: Fan, Yawen, Wang, Yu, Liu, Xiaohui, Li, Bo
Format: Online-Aufsatz
Sprache:English
Veröffentlicht: 2024
Zugriff auf das übergeordnete Werk:Journal of applied statistics
Schlagworte:Journal Article Autoregressive model C12 C22 empirical likelihood intercept unified test
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520 |a It has long been an open problem to provide a unified test for the intercept of autoregressive (AR) models. In this paper, we use the empirical likelihood method to solve this issue. It turns out that the resulting test statistic always converges in distribution to a standard chi-squared distribution under the null hypothesis, whether the AR process is stationary or nonstationary, and with or without an intercept. The asymptotic distribution under the local alternative hypothesis is also derived under some mild conditions. Several simulations as well as a real data example are used to show how well the suggested test performs in terms of size and power on a finite sample 
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700 1 |a Wang, Yu  |e verfasserin  |4 aut 
700 1 |a Liu, Xiaohui  |e verfasserin  |4 aut 
700 1 |a Li, Bo  |e verfasserin  |4 aut 
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