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Improving Size and Power in Unit Root Testing

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Author Info
Niels Haldrup
Michael Jansson () (Department of Economics, University of Aarhus, Denmark)

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Abstract

A frequent criticism of unit root tests concerns the poor power and size properties that many of such tests exhibit. However, the past decade or so intensive research has been conducted to alleviate these problems and great advances have been made. The present paper provides a selective survey of recent contributions to improve upon both size and power of unit root tests and in so doing the approach of using rigorous statistical optimality criteria in the development of such tests is stressed. In addition to presenting tests where improved size can be achieved by modifying the standard Dickey-Fuller class of tests, the paper presents theory of optimal testing and the construction of power envelopes for unit root tests under different conditions allowing for serial correlation, deterministic components, assumptions regarding the initial condition, non-Gaussian errors, and the use of covariates.

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Publisher Info
Paper provided by School of Economics and Management, University of Aarhus in its series Economics Working Papers with number 2005-2.

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Length: 31
Date of creation: 22 Mar 2005
Date of revision:
Handle: RePEc:aah:aarhec:2005-2

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Web page: http://www.econ.au.dk/afn/

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Related research
Keywords: Unit roots; optimal tests; power envelope;

Find related papers by JEL classification:
C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Hypothesis Testing
C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions

Cited by:
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  1. Giuseppe Cavaliere & David I. Harvey & Stephen J. Leybourne & A.M. Robert Taylor, 2008. "Testing for Unit Roots in the Presence of a Possible Break in Trend and Non-Stationary Volatility," CREATES Research Papers 2008-62, School of Economics and Management, University of Aarhus. [Downloadable!]
  2. Morten Ørregaard Nielsen, 2008. "A Powerful Tuning Parameter Free Test of the Autoregressive Unit Root Hypothesis," Working Papers 1175, Queen's University, Department of Economics. [Downloadable!]
    Other versions:
  3. Morten Ørregaard Nielsen, 2008. "A Powerful Test of the Autoregressive Unit Root Hypothesis Based on a Tuning Parameter Free Statistic," CREATES Research Papers 2008-36, School of Economics and Management, University of Aarhus. [Downloadable!]
    Other versions:
  4. Pierre Perron & Zhongjun Qu, 2006. "A Simple Modification to Improve the Finite Sample Properties of Ng and Perron’s Unit Root Tests," Boston University - Department of Economics - Working Papers Series WP2006-010, Boston University - Department of Economics. [Downloadable!]
    Other versions:
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