Unit Root Model Selection
Some limit properties for information based model selection criteria are given in the context of unit root evaluation and various assumptions about initial conditions. Allowing for a nonparametric short memory component, standard information criteria are shown to be weakly consistent for a unit root...
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| Format: | text |
| Language: | English |
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Institutional Knowledge at Singapore Management University
2008
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| Online Access: | https://ink.library.smu.edu.sg/soe_research/541 https://ink.library.smu.edu.sg/context/soe_research/article/1540/viewcontent/10.1.1.414.7670.pdf |
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| Institution: | Singapore Management University |
| Language: | English |
| Summary: | Some limit properties for information based model selection criteria are given in the context of unit root evaluation and various assumptions about initial conditions. Allowing for a nonparametric short memory component, standard information criteria are shown to be weakly consistent for a unit root provided the penalty coefficient Cn?? and Cn/n?0 as n??. Strong consistency holds when Cn/(log logn)3?? under conventional assumptions on initial conditions and under a slightly stronger condition when initial conditions are infinitely distant in the unit root model. The limit distribution of the AIC criterion is obtained. |
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