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Cotrending: Testing for common deterministic trends in varying means model

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  • Düker, Marie-Christine
  • Pipiras, Vladas
  • Sundararajan, Raanju

Abstract

In a varying means model, the temporary evolution of a p-vector system is determined by p deterministic nonparametric functions superimposed by error terms, possibly dependent cross sectionally. The basic interest is in linear combinations across the p dimensions that make the deterministic functions constant over time. The number of such linearly independent linear combinations is referred to as a cotrending dimension, and their spanned space as a cotrending space. This work puts forward a framework to test statistically for cotrending dimension and space. Connections to principal component analysis and cointegration are also considered. Finally, a simulation study to assess the finite-sample performance of the proposed tests, and applications to several real data sets are also provided.

Suggested Citation

  • Düker, Marie-Christine & Pipiras, Vladas & Sundararajan, Raanju, 2022. "Cotrending: Testing for common deterministic trends in varying means model," Journal of Multivariate Analysis, Elsevier, vol. 187(C).
    • Handle: RePEc:eee:jmvana:v:187:y:2022:i:c:s0047259x21001032
    DOI: 10.1016/j.jmva.2021.104825
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