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Testing for a Unit Root against Nonlinear STAR Models

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Abstract

In this paper we propose a simple testing procedure to detect the presence of nonstationarity against nonlinear stationarity based on the Smooth Transition Autoregressive modelling approach. We provide an advance over the existing literature in three senses: first, we derive the limiting nonstandard distribution of the proposed NLADF tests; second, we establish the superior power performance of the NLADF test over the standard linear ADF test under the alternative of nonlinear stationarity via Monte Carlo simulation exercises; third we provide an application to ex post real interest rates from six major OECD countries, and find the NLADF test is able to reject a unit root in cases, whereas the linear ADF tests fail.

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  • George Kapetanios, 2000. "Testing for a Unit Root against Nonlinear STAR Models," National Institute of Economic and Social Research (NIESR) Discussion Papers 164, National Institute of Economic and Social Research.
    • Handle: RePEc:nsr:niesrd:164
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    1. Balke, Nathan S & Fomby, Thomas B, 1997. "Threshold Cointegration," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 38(3), pages 627-645, August.
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    4. George Kapetanios, 2000. "Testing for a Unit Root against Nonlinear STAR Models," National Institute of Economic and Social Research (NIESR) Discussion Papers 164, National Institute of Economic and Social Research.
    5. Michael, Panos & Nobay, A Robert & Peel, David A, 1997. "Transactions Costs and Nonlinear Adjustment in Real Exchange Rates: An Empirical Investigation," Journal of Political Economy, University of Chicago Press, vol. 105(4), pages 862-879, August.
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    More about this item

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models

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