Publication Type
Book Chapter
Version
acceptedVersion
Publication Date
1-2020
Abstract
This chapter examines the limit properties of information criteria (such as AIC, BIC, and HQIC) for distinguishing between the unit-root (UR) model and the various kinds of explosive models. The explosive models include the local-to-unit-root model from the explosive side the mildly explosive (ME) model, and the regular explosive model. Initial conditions with different orders of magnitude are considered. Both the OLS estimator and the indirect inference estimator are studied. It is found that BIC and HQIC, but not AIC, consistently select the UR model when data come from the UR model. When data come from the local-to-unit-root model from the explosive side, both BIC and HQIC select the wrong model with probability approaching 1 while AIC has a positive probability of selecting the right model in the limit. When data come from the regular explosive model or from the ME model in the form of 1 + nα/n with α ∈ (0, 1), all three information criteria consistently select the true model. Indirect inference estimation can increase or decrease the probability for information criteria to select the right model asymptotically relative to OLS, depending on the information criteria and the true model. Simulation results confirm our asymptotic results in finite sample.
Keywords
Model Selection, Information Criteria, Local-To-Unit-Root Model, Mildly Explosive Model, Unit Root Model, Indirect Inference
Discipline
Econometrics
Research Areas
Econometrics
Publication
Essays in honor of Cheng Hsiao
Volume
41
Editor
Li, T., Pesaran, M.H. & Terrell, D.
First Page
73
Last Page
103
ISBN
9781789739589
Identifier
10.1108/S0731-905320200000041003
Publisher
Jai Press Inc.
City or Country
Bingley
Citation
1
Copyright Owner and License
Authors
Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial-No Derivative Works 4.0 International License.
Additional URL
https://doi.org/10.1108/S0731-905320200000041003