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Jackknife empirical likelihood based diagnostic checking for Ar(p) models

Yawen Fan, Xiaohui Liu (), Yang Cao and Shaochu Liu
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Yawen Fan: Jiangxi University of Finance and Economics
Xiaohui Liu: Jiangxi University of Finance and Economics
Yang Cao: Jiangxi University of Finance and Economics
Shaochu Liu: Jiangxi University of Finance and Economics

Computational Statistics, 2024, vol. 39, issue 5, No 4, 2479-2509

Abstract: Abstract Diagnostic checking is an important predefined step before using autoregressive models. Although many portmanteau tests were proposed for diagnostic checking, they still struggle with the issue of significant size distortion. In this paper, we develop new diagnostic checking methods based on jackknife empirical likelihood. It is demonstrated that the suggested testing statistics asymptotically have a typical chi-squared distribution. To verify the performance of the finite sample, some simulations are constructed. Additionally, a real example of five agricultural futures is provided to illustrate the merits of our diagnostic checking procedure.

Keywords: Autoregressive model; Diagnostic checking; Jackknife empirical likelihood; Data splitting (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s00180-023-01385-x

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