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Cointegration tests based on record counting statistics

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  • Aparicio, Felipe M.
  • Escribano, Álvaro

Abstract

This paper presents of number of cointegration tests that exploit the statistical properties of the records from the original time series variables. We prove their consistency and obtain their asymptotic null distributions. Among the advantages of this novel methodology, the new tests are invariant with respect to the individual series' variances and also with respect to monotonic transformations applied to these series. In addition, these tests are robust against the presence of level breaks as long as the number of these breaks increases slowly enough with the sample size. Finally, an alternative scheme is proposed to deal with additive outliers, which prevent them from causing size distortions.

Suggested Citation

  • Aparicio, Felipe M. & Escribano, Álvaro, 2003. "Cointegration tests based on record counting statistics," DES - Working Papers. Statistics and Econometrics. WS ws036615, Universidad Carlos III de Madrid. Departamento de Estadística.
    • Handle: RePEc:cte:wsrepe:ws036615
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    References listed on IDEAS

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    1. Lynda Atil & Hocine Fellag & Ana E. Sipols & M. T. Santos-Martín & Clara Simón Blas, 2024. "Non-linear Cointegration Test, Based on Record Counting Statistic," Computational Economics, Springer;Society for Computational Economics, vol. 64(4), pages 2205-2230, October.

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