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Unit Root Tests in ARMA Models with Data-Dependent Methods for the Selection of the Truncation Lag

Ng, Serena, Perron, Pierre·1995·Journal of the American Statistical Association

Abstract

We analyze the choice of the truncation lag in the context of the Said-Dickey test for the presence of a unit root in a general autoregressive moving average model. It is shown that a deterministic relationship between the truncation lag and the sample size is dominated by data-dependent rules that take sample information into account. In particular, we study data-dependent rules that are not constrained to satisfy the lower bound condition imposed by Said-Dickey. Akaike's information criterion falls into this category. The analytical properties of the truncation lag selected according to a class of information criteria are compared to those based on sequential testing for the significance of coefficients on additional lags. The asymptotic properties of the unit root test under various methods for selecting the truncation lag are analyzed, and simulations are used to show their distinctive behavior in finite samples. Our results favor methods based on sequential tests over those based on information criteria, because the former show less size distortions and have comparable power.

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Metadata

Authors
Ng, S., & Perron, P.
Venue
Journal of the American Statistical Association
Published
1995-03
Volume
90
Issue
429
Pages
268-281
ISSN
  • 0162-1459 (ISSN-L)
  • 1537-274X
OpenAlex
W2057346721
Cited by
1,457
References
20
FWCI
92.69
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: Unit Root Tests in ARMA Models with Data-Dependent Methods for the Selection of the Truncation Lag. https://app.cochat.ai/papers/10.1080/01621459.1995.10476510
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Ng, S., & Perron, P. (1995). Unit Root Tests in ARMA Models with Data-Dependent Methods for the Selection of the Truncation Lag. Journal of the American Statistical Association. https://doi.org/10.1080/01621459.1995.10476510

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