Tests for Unit Roots and the Initial Condition
نویسندگان
چکیده
منابع مشابه
Tests for Unit Roots and the Initial Condition
The paper analyzes the impact of the initial condition on the problem of testing for unit roots. To this end, we derive a family of optimal tests that maximize a weighted average power criterion with respect to the initial condition. We then investigate the relationship of this optimal family to popular tests. We find that many unit root tests are closely related to specific members of the opti...
متن کاملTests for Unit Roots and the Initial Condition by Ulrich
The paper analyzes the impact of the initial condition on the problem of testing for unit roots. To this end, we derive a family of optimal tests that maximize a weighted average power criterion with respect to the initial condition. We then investigate the relationship of this optimal family to popular tests. We find that many unit root tests are closely related to specific members of the opti...
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The paper analyzes the impact of the initial observation on the problem of testing for unit roots. To this end, we derive a family of optimal tests that maximize a weighted average power criterion with respect to the initial observation. We then investigate the relationship of this optimal family to unit root tests in an asymptotic framework. We find that many popular unit root tests are closel...
متن کاملTesting for unit roots in the presence of uncertainty over both the trend and initial condition
We provide a joint treatment of two major problems that surround testing for a unit root in practice, namely uncertainty as to whether or not a linear deterministic trend is present in the data, and uncertainty as to whether the initial condition of the process is (asymptotically) negligible or not. In earlier work [Harvey, Leybourne and Taylor, 2008] we proposed methods to deal with trend unce...
متن کاملMinimizing the Impact of the Initial Condition on Testing for Unit Roots
The outcome of popular unit root tests depends heavily on the initial condition, i.e. on the difference between the initial observation and the deterministic component. In some applications it is difficult to rule out small or large values of the initial condition a priori, so this dependence can be quite difficult to deal with in practice. We explore a number of methods for constructing unit r...
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ژورنال
عنوان ژورنال: Econometrica
سال: 2003
ISSN: 0012-9682,1468-0262
DOI: 10.1111/1468-0262.00447