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...

وصف كامل

محفوظ في:
التفاصيل البيبلوغرافية
المؤلف الرئيسي: PHILLIPS, Peter C. B.
التنسيق: text
اللغة:English
منشور في: Institutional Knowledge at Singapore Management University 2008
الموضوعات:
AIC
الوصول للمادة أونلاين: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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الوصف
الملخص: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.