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Testing for Unit Roots with Stationary Covariates

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Author Info
Graham Elliott
Michael Jansson () (Department of Economics, University of Aarhus, Denmark)

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Abstract

We derive the family of tests for a unit root with maximal power against a point alternative when an arbitrary number of stationary covariates are modeled with the potentially integrated series. We show that very large power gains are available when such covariates are available. We then derive tests which are simple to construct (involving the running of vector autoregressions) and achieve at a point the power envelopes derived under very general conditions. These tests have excellent properties in small samples. We also show that these are obvious and internally consistent tests to run when identifying structural VAR's using long run restrictions.

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Paper provided by School of Economics and Management, University of Aarhus in its series Economics Working Papers with number 2000-6.

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Handle: RePEc:aah:aarhec:2000-6

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Related research
Keywords: Unit roots; power envelope; structural VAR's;

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Find related papers by JEL classification:
C3 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables

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  15. Barbara Rossi & Elena Pesavento, 2004. "Do Technology Shocks Drive Hours Up or Down?," Econometric Society 2004 North American Summer Meetings 96, Econometric Society. [Downloadable!]
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